{"id":847,"date":"2024-07-05T21:13:49","date_gmt":"2024-07-05T15:43:49","guid":{"rendered":"https:\/\/www.mrcoder701.com\/?p=847"},"modified":"2024-07-05T21:13:51","modified_gmt":"2024-07-05T15:43:51","slug":"the-ultimate-guide-to-python-numbers","status":"publish","type":"post","link":"https:\/\/www.mrcoder701.com\/2024\/07\/05\/the-ultimate-guide-to-python-numbers\/","title":{"rendered":"The Ultimate Guide to Python Numbers"},"content":{"rendered":"<p>Welcome to the complete guide on Python numbers! Whether you are a beginner or an experienced developer, working with numbers forms part and parcel of programming in Python. We cover everything from Python numbers to their types, operations, and best practices.<\/p><h3 class=\"wp-block-heading has-vivid-green-cyan-color has-text-color has-link-color wp-elements-30b90845ba5478a1994908d4b99038c4\">Introduction<\/h3><p>Numbers are fundamental to programming. In Python, numbers are used for a variety of tasks, from simple arithmetic to complex scientific calculations. Let&#8217;s dive into the world of Python numbers and explore their types and uses.<\/p><div class=\"wp-block-boldblocks-icon-separator\" role=\"separator\"><div class=\"wp-block-boldblocks-icon-separator__inner icon-center is-align-center\" style=\"--bb-border:1px solid;--bb--icon-width:1em;--bb--icon-spacing:.5em\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 512 512\">\n  <path d=\"M256 464c114.87 0 208-93.13 208-208S370.87 48 256 48 48 141.13 48 256s93.13 208 208 208m-80.09-224L240 303.58V154h32v149.58L336.09 240l22.54 22.71L256 364.54 153.37 262.7Z\"><\/path>\n<\/svg><\/div><\/div><h1 class=\"wp-block-heading has-vivid-green-cyan-color has-text-color has-link-color wp-elements-489bf899ffcff2f301c9571dc9f71cc4\">1. Integer (int)<\/h1><h4 class=\"wp-block-heading\">Definition and Characteristics<\/h4><p>Integers are whole numbers without a decimal point. They can be positive, negative, or zero. In Python, integers have unlimited precision, meaning you can work with very large numbers without any issues.<\/p><h4 class=\"wp-block-heading\">Basic Operations<\/h4><p>Integers support all basic arithmetic operations. Let&#8217;s look at some examples:<\/p><ul class=\"wp-block-list\"><li><strong>Addition, Subtraction, Multiplication, Division:<\/strong><\/li><\/ul><div class=\"wp-block-kevinbatdorf-code-block-pro padding-bottom-disabled\" data-code-block-pro-font-family=\"Code-Pro-JetBrains-Mono\" style=\"font-size:clamp(18px, 1.125rem, 27px);font-family:Code-Pro-JetBrains-Mono,ui-monospace,SFMono-Regular,Menlo,Monaco,Consolas,monospace;line-height:clamp(26px, 1.625rem, 39px);--cbp-tab-width:2;tab-size:var(--cbp-tab-width, 2)\"><span style=\"display:block;padding:16px 0 0 16px;margin-bottom:-1px;width:100%;text-align:left;background-color:#282A36\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"54\" height=\"14\" viewBox=\"0 0 54 14\"><g fill=\"none\" fill-rule=\"evenodd\" transform=\"translate(1 1)\"><circle cx=\"6\" cy=\"6\" r=\"6\" fill=\"#FF5F56\" stroke=\"#E0443E\" stroke-width=\".5\"><\/circle><circle cx=\"26\" cy=\"6\" r=\"6\" fill=\"#FFBD2E\" stroke=\"#DEA123\" stroke-width=\".5\"><\/circle><circle cx=\"46\" cy=\"6\" r=\"6\" fill=\"#27C93F\" stroke=\"#1AAB29\" stroke-width=\".5\"><\/circle><\/g><\/svg><\/span><span role=\"button\" tabindex=\"0\" data-code=\"a = 10\nb = 3\nprint(a + b)  # 13 (Addition)\nprint(a - b)  # 7 (Subtraction)\nprint(a * b)  # 30 (Multiplication)\nprint(a \/ b)  # 3.3333333333333335 (Division)\n\n# Here, a and b are integers. We can add, subtract, multiply, and divide them using the +, -, *, and \/ operators respectively.\" style=\"color:#F8F8F2;display:none\" aria-label=\"Copy\" class=\"code-block-pro-copy-button\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" style=\"width:24px;height:24px\" fill=\"none\" viewBox=\"0 0 24 24\" stroke=\"currentColor\" stroke-width=\"2\"><path class=\"with-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2m-6 9l2 2 4-4\"><\/path><path class=\"without-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2\"><\/path><\/svg><\/span><pre class=\"shiki dracula\" style=\"background-color: #282A36\" tabindex=\"0\"><code><span class=\"line\"><span style=\"color: #F8F8F2\">a <\/span><span style=\"color: #FF79C6\">=<\/span><span style=\"color: #F8F8F2\"> <\/span><span style=\"color: #BD93F9\">10<\/span><\/span>\n<span class=\"line\"><span style=\"color: #F8F8F2\">b <\/span><span style=\"color: #FF79C6\">=<\/span><span style=\"color: #F8F8F2\"> <\/span><span style=\"color: #BD93F9\">3<\/span><\/span>\n<span class=\"line\"><span style=\"color: #50FA7B\">print<\/span><span style=\"color: #F8F8F2\">(a <\/span><span style=\"color: #FF79C6\">+<\/span><span style=\"color: #F8F8F2\"> b)  # <\/span><span style=\"color: #BD93F9\">13<\/span><span style=\"color: #F8F8F2\"> (Addition)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #50FA7B\">print<\/span><span style=\"color: #F8F8F2\">(a <\/span><span style=\"color: #FF79C6\">-<\/span><span style=\"color: #F8F8F2\"> b)  # <\/span><span style=\"color: #BD93F9\">7<\/span><span style=\"color: #F8F8F2\"> (Subtraction)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #50FA7B\">print<\/span><span style=\"color: #F8F8F2\">(a <\/span><span style=\"color: #FF79C6\">*<\/span><span style=\"color: #F8F8F2\"> b)  # <\/span><span style=\"color: #BD93F9\">30<\/span><span style=\"color: #F8F8F2\"> (Multiplication)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #50FA7B\">print<\/span><span style=\"color: #F8F8F2\">(a <\/span><span style=\"color: #FF79C6\">\/<\/span><span style=\"color: #F8F8F2\"> b)  # <\/span><span style=\"color: #BD93F9\">3.3333333333333335<\/span><span style=\"color: #F8F8F2\"> (Division)<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #F8F8F2\"># Here, a and b are integers. We can add, subtract, multiply, and divide them <\/span><span style=\"color: #FF79C6\">using<\/span><span style=\"color: #F8F8F2\"> the +, -, *, and \/ operators respectively.<\/span><\/span><\/code><\/pre><span style=\"display:flex;align-items:flex-end;padding:10px;width:100%;justify-content:flex-end;background-color:#282A36;color:#efefe1;font-size:12px;line-height:1;position:relative\">Python<\/span><\/div><ul class=\"wp-block-list\"><li><strong>Floor Division, Modulus, Exponentiation:<\/strong><\/li><\/ul><div class=\"wp-block-kevinbatdorf-code-block-pro\" data-code-block-pro-font-family=\"Code-Pro-JetBrains-Mono\" style=\"font-size:clamp(18px, 1.125rem, 27px);font-family:Code-Pro-JetBrains-Mono,ui-monospace,SFMono-Regular,Menlo,Monaco,Consolas,monospace;line-height:clamp(26px, 1.625rem, 39px);--cbp-tab-width:2;tab-size:var(--cbp-tab-width, 2)\"><span style=\"display:block;padding:16px 0 0 16px;margin-bottom:-1px;width:100%;text-align:left;background-color:#282A36\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"54\" height=\"14\" viewBox=\"0 0 54 14\"><g fill=\"none\" fill-rule=\"evenodd\" transform=\"translate(1 1)\"><circle cx=\"6\" cy=\"6\" r=\"6\" fill=\"#FF5F56\" stroke=\"#E0443E\" stroke-width=\".5\"><\/circle><circle cx=\"26\" cy=\"6\" r=\"6\" fill=\"#FFBD2E\" stroke=\"#DEA123\" stroke-width=\".5\"><\/circle><circle cx=\"46\" cy=\"6\" r=\"6\" fill=\"#27C93F\" stroke=\"#1AAB29\" stroke-width=\".5\"><\/circle><\/g><\/svg><\/span><span role=\"button\" tabindex=\"0\" data-code=\"print(a \/\/ b)  # 3\nprint(a % b)   # 1\nprint(a ** b)  # 1000\n\n# Floor division (\/\/) divides two numbers and rounds down to the nearest integer. The modulus operator (%) returns the remainder of the division, and the exponentiation operator (**) raises the number to the power of the second number.\" style=\"color:#F8F8F2;display:none\" aria-label=\"Copy\" class=\"code-block-pro-copy-button\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" style=\"width:24px;height:24px\" fill=\"none\" viewBox=\"0 0 24 24\" stroke=\"currentColor\" stroke-width=\"2\"><path class=\"with-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2m-6 9l2 2 4-4\"><\/path><path class=\"without-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2\"><\/path><\/svg><\/span><pre class=\"shiki dracula\" style=\"background-color: #282A36\" tabindex=\"0\"><code><span class=\"line\"><span style=\"color: #50FA7B\">print<\/span><span style=\"color: #F8F8F2\">(a <\/span><span style=\"color: #6272A4\">\/\/ b)  # 3<\/span><\/span>\n<span class=\"line\"><span style=\"color: #50FA7B\">print<\/span><span style=\"color: #F8F8F2\">(a <\/span><span style=\"color: #FF79C6\">%<\/span><span style=\"color: #F8F8F2\"> b)   # <\/span><span style=\"color: #BD93F9\">1<\/span><\/span>\n<span class=\"line\"><span style=\"color: #50FA7B\">print<\/span><span style=\"color: #F8F8F2\">(a <\/span><span style=\"color: #FF79C6\">**<\/span><span style=\"color: #F8F8F2\"> b)  # <\/span><span style=\"color: #BD93F9\">1000<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #F8F8F2\"># Floor <\/span><span style=\"color: #50FA7B\">division<\/span><span style=\"color: #F8F8F2\"> (<\/span><span style=\"color: #6272A4\">\/\/) divides two numbers and rounds down to the nearest integer. The modulus operator (%) returns the remainder of the division, and the exponentiation operator (**) raises the number to the power of the second number.<\/span><\/span><\/code><\/pre><\/div><h4 class=\"wp-block-heading\">Type Conversion<\/h4><p>You can convert other data types to integers using the <code>int()<\/code> function.<\/p><div class=\"wp-block-kevinbatdorf-code-block-pro\" data-code-block-pro-font-family=\"Code-Pro-JetBrains-Mono\" style=\"font-size:clamp(18px, 1.125rem, 27px);font-family:Code-Pro-JetBrains-Mono,ui-monospace,SFMono-Regular,Menlo,Monaco,Consolas,monospace;line-height:clamp(26px, 1.625rem, 39px);--cbp-tab-width:2;tab-size:var(--cbp-tab-width, 2)\"><span style=\"display:block;padding:16px 0 0 16px;margin-bottom:-1px;width:100%;text-align:left;background-color:#282A36\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"54\" height=\"14\" viewBox=\"0 0 54 14\"><g fill=\"none\" fill-rule=\"evenodd\" transform=\"translate(1 1)\"><circle cx=\"6\" cy=\"6\" r=\"6\" fill=\"#FF5F56\" stroke=\"#E0443E\" stroke-width=\".5\"><\/circle><circle cx=\"26\" cy=\"6\" r=\"6\" fill=\"#FFBD2E\" stroke=\"#DEA123\" stroke-width=\".5\"><\/circle><circle cx=\"46\" cy=\"6\" r=\"6\" fill=\"#27C93F\" stroke=\"#1AAB29\" stroke-width=\".5\"><\/circle><\/g><\/svg><\/span><span role=\"button\" tabindex=\"0\" data-code=\"print(int(4.7))   # 4 (Converts float to int)\nprint(int(&quot;123&quot;)) # 123 (Converts string to int)\" style=\"color:#F8F8F2;display:none\" aria-label=\"Copy\" class=\"code-block-pro-copy-button\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" style=\"width:24px;height:24px\" fill=\"none\" viewBox=\"0 0 24 24\" stroke=\"currentColor\" stroke-width=\"2\"><path class=\"with-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2m-6 9l2 2 4-4\"><\/path><path class=\"without-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2\"><\/path><\/svg><\/span><pre class=\"shiki dracula\" style=\"background-color: #282A36\" tabindex=\"0\"><code><span class=\"line\"><span style=\"color: #50FA7B\">print<\/span><span style=\"color: #F8F8F2\">(<\/span><span style=\"color: #50FA7B\">int<\/span><span style=\"color: #F8F8F2\">(<\/span><span style=\"color: #BD93F9\">4.7<\/span><span style=\"color: #F8F8F2\">))   # <\/span><span style=\"color: #BD93F9\">4<\/span><span style=\"color: #F8F8F2\"> (Converts float to int)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #50FA7B\">print<\/span><span style=\"color: #F8F8F2\">(<\/span><span style=\"color: #50FA7B\">int<\/span><span style=\"color: #F8F8F2\">(<\/span><span style=\"color: #E9F284\">&quot;<\/span><span style=\"color: #F1FA8C\">123<\/span><span style=\"color: #E9F284\">&quot;<\/span><span style=\"color: #F8F8F2\">)) # <\/span><span style=\"color: #BD93F9\">123<\/span><span style=\"color: #F8F8F2\"> (Converts string to int)<\/span><\/span><\/code><\/pre><\/div><div class=\"wp-block-boldblocks-icon-separator\" role=\"separator\"><div class=\"wp-block-boldblocks-icon-separator__inner icon-center is-align-center\" style=\"--bb-border:1px solid;--bb--icon-width:1em;--bb--icon-spacing:.5em\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 512 512\">\n  <path d=\"M256 464c114.87 0 208-93.13 208-208S370.87 48 256 48 48 141.13 48 256s93.13 208 208 208m-80.09-224L240 303.58V154h32v149.58L336.09 240l22.54 22.71L256 364.54 153.37 262.7Z\"><\/path>\n<\/svg><\/div><\/div><h1 class=\"wp-block-heading has-vivid-green-cyan-color has-text-color has-link-color wp-elements-50a85b2665887896ec6f464cb19a7416\">2. Floating-Point (float)<\/h1><h4 class=\"wp-block-heading\">Definition and Characteristics<\/h4><p>Floats represent numbers with a decimal point. They&#8217;re used when precision is needed. However, due to the way floats are stored, they can sometimes lead to precision issues.<\/p><h4 class=\"wp-block-heading\">Basic Operations<\/h4><p>Floats also support basic arithmetic operations. Here are some examples:<\/p><ul class=\"wp-block-list\"><li><strong>Addition, Subtraction, Multiplication, Division:<\/strong><\/li><\/ul><div class=\"wp-block-kevinbatdorf-code-block-pro\" data-code-block-pro-font-family=\"Code-Pro-JetBrains-Mono\" style=\"font-size:clamp(18px, 1.125rem, 27px);font-family:Code-Pro-JetBrains-Mono,ui-monospace,SFMono-Regular,Menlo,Monaco,Consolas,monospace;line-height:clamp(26px, 1.625rem, 39px);--cbp-tab-width:2;tab-size:var(--cbp-tab-width, 2)\"><span style=\"display:block;padding:16px 0 0 16px;margin-bottom:-1px;width:100%;text-align:left;background-color:#282A36\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"54\" height=\"14\" viewBox=\"0 0 54 14\"><g fill=\"none\" fill-rule=\"evenodd\" transform=\"translate(1 1)\"><circle cx=\"6\" cy=\"6\" r=\"6\" fill=\"#FF5F56\" stroke=\"#E0443E\" stroke-width=\".5\"><\/circle><circle cx=\"26\" cy=\"6\" r=\"6\" fill=\"#FFBD2E\" stroke=\"#DEA123\" stroke-width=\".5\"><\/circle><circle cx=\"46\" cy=\"6\" r=\"6\" fill=\"#27C93F\" stroke=\"#1AAB29\" stroke-width=\".5\"><\/circle><\/g><\/svg><\/span><span role=\"button\" tabindex=\"0\" data-code=\"x = 10.5\ny = 2.3\nprint(x + y)  # 12.8 (Addition)\nprint(x - y)  # 8.2 (Subtraction)\nprint(x * y)  # 24.15 (Multiplication)\nprint(x \/ y)  # 4.565217391304348 (Division)\" style=\"color:#F8F8F2;display:none\" aria-label=\"Copy\" class=\"code-block-pro-copy-button\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" style=\"width:24px;height:24px\" fill=\"none\" viewBox=\"0 0 24 24\" stroke=\"currentColor\" stroke-width=\"2\"><path class=\"with-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2m-6 9l2 2 4-4\"><\/path><path class=\"without-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2\"><\/path><\/svg><\/span><pre class=\"shiki dracula\" style=\"background-color: #282A36\" tabindex=\"0\"><code><span class=\"line\"><span style=\"color: #F8F8F2\">x <\/span><span style=\"color: #FF79C6\">=<\/span><span style=\"color: #F8F8F2\"> <\/span><span style=\"color: #BD93F9\">10.5<\/span><\/span>\n<span class=\"line\"><span style=\"color: #F8F8F2\">y <\/span><span style=\"color: #FF79C6\">=<\/span><span style=\"color: #F8F8F2\"> <\/span><span style=\"color: #BD93F9\">2.3<\/span><\/span>\n<span class=\"line\"><span style=\"color: #50FA7B\">print<\/span><span style=\"color: #F8F8F2\">(x <\/span><span style=\"color: #FF79C6\">+<\/span><span style=\"color: #F8F8F2\"> y)  # <\/span><span style=\"color: #BD93F9\">12.8<\/span><span style=\"color: #F8F8F2\"> (Addition)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #50FA7B\">print<\/span><span style=\"color: #F8F8F2\">(x <\/span><span style=\"color: #FF79C6\">-<\/span><span style=\"color: #F8F8F2\"> y)  # <\/span><span style=\"color: #BD93F9\">8.2<\/span><span style=\"color: #F8F8F2\"> (Subtraction)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #50FA7B\">print<\/span><span style=\"color: #F8F8F2\">(x <\/span><span style=\"color: #FF79C6\">*<\/span><span style=\"color: #F8F8F2\"> y)  # <\/span><span style=\"color: #BD93F9\">24.15<\/span><span style=\"color: #F8F8F2\"> (Multiplication)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #50FA7B\">print<\/span><span style=\"color: #F8F8F2\">(x <\/span><span style=\"color: #FF79C6\">\/<\/span><span style=\"color: #F8F8F2\"> y)  # <\/span><span style=\"color: #BD93F9\">4.565217391304348<\/span><span style=\"color: #F8F8F2\"> (Division)<\/span><\/span><\/code><\/pre><\/div><p><strong>Floor Division, Modulus, Exponentiation:<\/strong><\/p><div class=\"wp-block-kevinbatdorf-code-block-pro\" data-code-block-pro-font-family=\"Code-Pro-JetBrains-Mono\" style=\"font-size:clamp(18px, 1.125rem, 27px);font-family:Code-Pro-JetBrains-Mono,ui-monospace,SFMono-Regular,Menlo,Monaco,Consolas,monospace;line-height:clamp(26px, 1.625rem, 39px);--cbp-tab-width:2;tab-size:var(--cbp-tab-width, 2)\"><span style=\"display:block;padding:16px 0 0 16px;margin-bottom:-1px;width:100%;text-align:left;background-color:#282A36\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"54\" height=\"14\" viewBox=\"0 0 54 14\"><g fill=\"none\" fill-rule=\"evenodd\" transform=\"translate(1 1)\"><circle cx=\"6\" cy=\"6\" r=\"6\" fill=\"#FF5F56\" stroke=\"#E0443E\" stroke-width=\".5\"><\/circle><circle cx=\"26\" cy=\"6\" r=\"6\" fill=\"#FFBD2E\" stroke=\"#DEA123\" stroke-width=\".5\"><\/circle><circle cx=\"46\" cy=\"6\" r=\"6\" fill=\"#27C93F\" stroke=\"#1AAB29\" stroke-width=\".5\"><\/circle><\/g><\/svg><\/span><span role=\"button\" tabindex=\"0\" data-code=\"print(x \/\/ y)  # 4.0 (Floor Division)\nprint(x % y)   # 1.5999999999999996 (Modulus)\nprint(x ** y)  # 163.65909599936696 (Exponentiation)\" style=\"color:#F8F8F2;display:none\" aria-label=\"Copy\" class=\"code-block-pro-copy-button\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" style=\"width:24px;height:24px\" fill=\"none\" viewBox=\"0 0 24 24\" stroke=\"currentColor\" stroke-width=\"2\"><path class=\"with-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2m-6 9l2 2 4-4\"><\/path><path class=\"without-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2\"><\/path><\/svg><\/span><pre class=\"shiki dracula\" style=\"background-color: #282A36\" tabindex=\"0\"><code><span class=\"line\"><span style=\"color: #50FA7B\">print<\/span><span style=\"color: #F8F8F2\">(x <\/span><span style=\"color: #6272A4\">\/\/ y)  # 4.0 (Floor Division)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #50FA7B\">print<\/span><span style=\"color: #F8F8F2\">(x <\/span><span style=\"color: #FF79C6\">%<\/span><span style=\"color: #F8F8F2\"> y)   # <\/span><span style=\"color: #BD93F9\">1.5999999999999996<\/span><span style=\"color: #F8F8F2\"> (Modulus)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #50FA7B\">print<\/span><span style=\"color: #F8F8F2\">(x <\/span><span style=\"color: #FF79C6\">**<\/span><span style=\"color: #F8F8F2\"> y)  # <\/span><span style=\"color: #BD93F9\">163.65909599936696<\/span><span style=\"color: #F8F8F2\"> (Exponentiation)<\/span><\/span><\/code><\/pre><\/div><h4 class=\"wp-block-heading\">Precision and Rounding<\/h4><ul class=\"wp-block-list\"><li><strong>Floating-point numbers can sometimes lead to precision issues:<\/strong><\/li><\/ul><div class=\"wp-block-kevinbatdorf-code-block-pro\" data-code-block-pro-font-family=\"Code-Pro-JetBrains-Mono\" style=\"font-size:clamp(18px, 1.125rem, 27px);font-family:Code-Pro-JetBrains-Mono,ui-monospace,SFMono-Regular,Menlo,Monaco,Consolas,monospace;line-height:clamp(26px, 1.625rem, 39px);--cbp-tab-width:2;tab-size:var(--cbp-tab-width, 2)\"><span style=\"display:block;padding:16px 0 0 16px;margin-bottom:-1px;width:100%;text-align:left;background-color:#282A36\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"54\" height=\"14\" viewBox=\"0 0 54 14\"><g fill=\"none\" fill-rule=\"evenodd\" transform=\"translate(1 1)\"><circle cx=\"6\" cy=\"6\" r=\"6\" fill=\"#FF5F56\" stroke=\"#E0443E\" stroke-width=\".5\"><\/circle><circle cx=\"26\" cy=\"6\" r=\"6\" fill=\"#FFBD2E\" stroke=\"#DEA123\" stroke-width=\".5\"><\/circle><circle cx=\"46\" cy=\"6\" r=\"6\" fill=\"#27C93F\" stroke=\"#1AAB29\" stroke-width=\".5\"><\/circle><\/g><\/svg><\/span><span role=\"button\" tabindex=\"0\" data-code=\"print(0.1 + 0.2)  # 0.30000000000000004 (Precision issue)\" style=\"color:#F8F8F2;display:none\" aria-label=\"Copy\" class=\"code-block-pro-copy-button\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" style=\"width:24px;height:24px\" fill=\"none\" viewBox=\"0 0 24 24\" stroke=\"currentColor\" stroke-width=\"2\"><path class=\"with-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2m-6 9l2 2 4-4\"><\/path><path class=\"without-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2\"><\/path><\/svg><\/span><pre class=\"shiki dracula\" style=\"background-color: #282A36\" tabindex=\"0\"><code><span class=\"line\"><span style=\"color: #50FA7B\">print<\/span><span style=\"color: #F8F8F2\">(<\/span><span style=\"color: #BD93F9\">0.1<\/span><span style=\"color: #F8F8F2\"> <\/span><span style=\"color: #FF79C6\">+<\/span><span style=\"color: #F8F8F2\"> <\/span><span style=\"color: #BD93F9\">0.2<\/span><span style=\"color: #F8F8F2\">)  # <\/span><span style=\"color: #BD93F9\">0.30000000000000004<\/span><span style=\"color: #F8F8F2\"> (Precision issue)<\/span><\/span><\/code><\/pre><\/div><p>To handle precision and rounding, you can use functions like <code>round()<\/code>, <code>math.ceil()<\/code>, and <code>math.floor()<\/code>:<\/p><div class=\"wp-block-kevinbatdorf-code-block-pro\" data-code-block-pro-font-family=\"Code-Pro-JetBrains-Mono\" style=\"font-size:clamp(18px, 1.125rem, 27px);font-family:Code-Pro-JetBrains-Mono,ui-monospace,SFMono-Regular,Menlo,Monaco,Consolas,monospace;line-height:clamp(26px, 1.625rem, 39px);--cbp-tab-width:2;tab-size:var(--cbp-tab-width, 2)\"><span style=\"display:block;padding:16px 0 0 16px;margin-bottom:-1px;width:100%;text-align:left;background-color:#282A36\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"54\" height=\"14\" viewBox=\"0 0 54 14\"><g fill=\"none\" fill-rule=\"evenodd\" transform=\"translate(1 1)\"><circle cx=\"6\" cy=\"6\" r=\"6\" fill=\"#FF5F56\" stroke=\"#E0443E\" stroke-width=\".5\"><\/circle><circle cx=\"26\" cy=\"6\" r=\"6\" fill=\"#FFBD2E\" stroke=\"#DEA123\" stroke-width=\".5\"><\/circle><circle cx=\"46\" cy=\"6\" r=\"6\" fill=\"#27C93F\" stroke=\"#1AAB29\" stroke-width=\".5\"><\/circle><\/g><\/svg><\/span><span role=\"button\" tabindex=\"0\" data-code=\"import math\nprint(round(3.14159, 2))  # 3.14 (Rounding to 2 decimal places)\nprint(math.ceil(4.1))     # 5 (Ceiling value)\nprint(math.floor(4.9))    # 4 (Floor value)\" style=\"color:#F8F8F2;display:none\" aria-label=\"Copy\" class=\"code-block-pro-copy-button\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" style=\"width:24px;height:24px\" fill=\"none\" viewBox=\"0 0 24 24\" stroke=\"currentColor\" stroke-width=\"2\"><path class=\"with-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2m-6 9l2 2 4-4\"><\/path><path class=\"without-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2\"><\/path><\/svg><\/span><pre class=\"shiki dracula\" style=\"background-color: #282A36\" tabindex=\"0\"><code><span class=\"line\"><span style=\"color: #FF79C6\">import<\/span><span style=\"color: #F8F8F2\"> math<\/span><\/span>\n<span class=\"line\"><span style=\"color: #F8F8F2\">print(round(3.14159, 2))  # 3.14 (Rounding to 2 decimal places)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #F8F8F2\">print(math.ceil(4.1))     # 5 (Ceiling value)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #F8F8F2\">print(math.floor(4.9))    # 4 (Floor value)<\/span><\/span><\/code><\/pre><\/div><h4 class=\"wp-block-heading\">Type Conversion<\/h4><p>Convert other data types to floats using the <code>float()<\/code> function:<\/p><div class=\"wp-block-kevinbatdorf-code-block-pro\" data-code-block-pro-font-family=\"Code-Pro-JetBrains-Mono\" style=\"font-size:clamp(18px, 1.125rem, 27px);font-family:Code-Pro-JetBrains-Mono,ui-monospace,SFMono-Regular,Menlo,Monaco,Consolas,monospace;line-height:clamp(26px, 1.625rem, 39px);--cbp-tab-width:2;tab-size:var(--cbp-tab-width, 2)\"><span style=\"display:block;padding:16px 0 0 16px;margin-bottom:-1px;width:100%;text-align:left;background-color:#282A36\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"54\" height=\"14\" viewBox=\"0 0 54 14\"><g fill=\"none\" fill-rule=\"evenodd\" transform=\"translate(1 1)\"><circle cx=\"6\" cy=\"6\" r=\"6\" fill=\"#FF5F56\" stroke=\"#E0443E\" stroke-width=\".5\"><\/circle><circle cx=\"26\" cy=\"6\" r=\"6\" fill=\"#FFBD2E\" stroke=\"#DEA123\" stroke-width=\".5\"><\/circle><circle cx=\"46\" cy=\"6\" r=\"6\" fill=\"#27C93F\" stroke=\"#1AAB29\" stroke-width=\".5\"><\/circle><\/g><\/svg><\/span><span role=\"button\" tabindex=\"0\" data-code=\"print(float(3))    # 3.0 (Converts int to float)\nprint(float(&quot;4.5&quot;)) # 4.5 (Converts string to float)\" style=\"color:#F8F8F2;display:none\" aria-label=\"Copy\" class=\"code-block-pro-copy-button\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" style=\"width:24px;height:24px\" fill=\"none\" viewBox=\"0 0 24 24\" stroke=\"currentColor\" stroke-width=\"2\"><path class=\"with-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2m-6 9l2 2 4-4\"><\/path><path class=\"without-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2\"><\/path><\/svg><\/span><pre class=\"shiki dracula\" style=\"background-color: #282A36\" tabindex=\"0\"><code><span class=\"line\"><span style=\"color: #50FA7B\">print<\/span><span style=\"color: #F8F8F2\">(<\/span><span style=\"color: #50FA7B\">float<\/span><span style=\"color: #F8F8F2\">(<\/span><span style=\"color: #BD93F9\">3<\/span><span style=\"color: #F8F8F2\">))    # <\/span><span style=\"color: #BD93F9\">3.0<\/span><span style=\"color: #F8F8F2\"> (Converts int to float)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #50FA7B\">print<\/span><span style=\"color: #F8F8F2\">(<\/span><span style=\"color: #50FA7B\">float<\/span><span style=\"color: #F8F8F2\">(<\/span><span style=\"color: #E9F284\">&quot;<\/span><span style=\"color: #F1FA8C\">4.5<\/span><span style=\"color: #E9F284\">&quot;<\/span><span style=\"color: #F8F8F2\">)) # <\/span><span style=\"color: #BD93F9\">4.5<\/span><span style=\"color: #F8F8F2\"> (Converts string to float)<\/span><\/span><\/code><\/pre><\/div><div class=\"wp-block-boldblocks-icon-separator\" role=\"separator\"><div class=\"wp-block-boldblocks-icon-separator__inner icon-center is-align-center\" style=\"--bb-border:1px solid;--bb--icon-width:1em;--bb--icon-spacing:.5em\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 512 512\">\n  <path d=\"M256 464c114.87 0 208-93.13 208-208S370.87 48 256 48 48 141.13 48 256s93.13 208 208 208m-80.09-224L240 303.58V154h32v149.58L336.09 240l22.54 22.71L256 364.54 153.37 262.7Z\"><\/path>\n<\/svg><\/div><\/div><h1 class=\"wp-block-heading has-vivid-green-cyan-color has-text-color has-link-color wp-elements-2b461c14861ddffee31fdf3615a4ea4e\">3. Complex Numbers (complex)<\/h1><h4 class=\"wp-block-heading\">Definition and Characteristics<\/h4><p>Complex numbers have a real and an imaginary part, represented as <code>a + bj<\/code>. In Python, the imaginary part is denoted by <code>j<\/code>.<\/p><h4 class=\"wp-block-heading\">Basic Operations<\/h4><p>You can perform arithmetic operations on complex numbers:<\/p><div class=\"wp-block-kevinbatdorf-code-block-pro\" data-code-block-pro-font-family=\"Code-Pro-JetBrains-Mono\" style=\"font-size:clamp(18px, 1.125rem, 27px);font-family:Code-Pro-JetBrains-Mono,ui-monospace,SFMono-Regular,Menlo,Monaco,Consolas,monospace;line-height:clamp(26px, 1.625rem, 39px);--cbp-tab-width:2;tab-size:var(--cbp-tab-width, 2)\"><span style=\"display:block;padding:16px 0 0 16px;margin-bottom:-1px;width:100%;text-align:left;background-color:#282A36\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"54\" height=\"14\" viewBox=\"0 0 54 14\"><g fill=\"none\" fill-rule=\"evenodd\" transform=\"translate(1 1)\"><circle cx=\"6\" cy=\"6\" r=\"6\" fill=\"#FF5F56\" stroke=\"#E0443E\" stroke-width=\".5\"><\/circle><circle cx=\"26\" cy=\"6\" r=\"6\" fill=\"#FFBD2E\" stroke=\"#DEA123\" stroke-width=\".5\"><\/circle><circle cx=\"46\" cy=\"6\" r=\"6\" fill=\"#27C93F\" stroke=\"#1AAB29\" stroke-width=\".5\"><\/circle><\/g><\/svg><\/span><span role=\"button\" tabindex=\"0\" data-code=\"z1 = 2 + 3j\nz2 = 1 - 1j\nprint(z1 + z2)  # (3+2j) (Addition)\nprint(z1 - z2)  # (1+4j) (Subtraction)\nprint(z1 * z2)  # (5+1j) (Multiplication)\nprint(z1 \/ z2)  # (0.5+2.5j) (Division)\" style=\"color:#F8F8F2;display:none\" aria-label=\"Copy\" class=\"code-block-pro-copy-button\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" style=\"width:24px;height:24px\" fill=\"none\" viewBox=\"0 0 24 24\" stroke=\"currentColor\" stroke-width=\"2\"><path class=\"with-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2m-6 9l2 2 4-4\"><\/path><path class=\"without-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2\"><\/path><\/svg><\/span><pre class=\"shiki dracula\" style=\"background-color: #282A36\" tabindex=\"0\"><code><span class=\"line\"><span style=\"color: #F8F8F2\">z1 <\/span><span style=\"color: #FF79C6\">=<\/span><span style=\"color: #F8F8F2\"> <\/span><span style=\"color: #BD93F9\">2<\/span><span style=\"color: #F8F8F2\"> <\/span><span style=\"color: #FF79C6\">+<\/span><span style=\"color: #F8F8F2\"> 3j<\/span><\/span>\n<span class=\"line\"><span style=\"color: #F8F8F2\">z2 <\/span><span style=\"color: #FF79C6\">=<\/span><span style=\"color: #F8F8F2\"> <\/span><span style=\"color: #BD93F9\">1<\/span><span style=\"color: #F8F8F2\"> <\/span><span style=\"color: #FF79C6\">-<\/span><span style=\"color: #F8F8F2\"> 1j<\/span><\/span>\n<span class=\"line\"><span style=\"color: #50FA7B\">print<\/span><span style=\"color: #F8F8F2\">(z1 <\/span><span style=\"color: #FF79C6\">+<\/span><span style=\"color: #F8F8F2\"> z2)  # (<\/span><span style=\"color: #BD93F9\">3<\/span><span style=\"color: #FF79C6\">+<\/span><span style=\"color: #F8F8F2\">2j) (Addition)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #50FA7B\">print<\/span><span style=\"color: #F8F8F2\">(z1 <\/span><span style=\"color: #FF79C6\">-<\/span><span style=\"color: #F8F8F2\"> z2)  # (<\/span><span style=\"color: #BD93F9\">1<\/span><span style=\"color: #FF79C6\">+<\/span><span style=\"color: #F8F8F2\">4j) (Subtraction)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #50FA7B\">print<\/span><span style=\"color: #F8F8F2\">(z1 <\/span><span style=\"color: #FF79C6\">*<\/span><span style=\"color: #F8F8F2\"> z2)  # (<\/span><span style=\"color: #BD93F9\">5<\/span><span style=\"color: #FF79C6\">+<\/span><span style=\"color: #F8F8F2\">1j) (Multiplication)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #50FA7B\">print<\/span><span style=\"color: #F8F8F2\">(z1 <\/span><span style=\"color: #FF79C6\">\/<\/span><span style=\"color: #F8F8F2\"> z2)  # (<\/span><span style=\"color: #BD93F9\">0.5<\/span><span style=\"color: #FF79C6\">+<\/span><span style=\"color: #F8F8F2\">2.5j) (Division)<\/span><\/span><\/code><\/pre><\/div><h4 class=\"wp-block-heading\">Real and Imaginary Parts<\/h4><p>You can access the real and imaginary parts of a complex number using <code>z.real<\/code> and <code>z.imag<\/code>:<\/p><div class=\"wp-block-kevinbatdorf-code-block-pro\" data-code-block-pro-font-family=\"Code-Pro-JetBrains-Mono\" style=\"font-size:clamp(18px, 1.125rem, 27px);font-family:Code-Pro-JetBrains-Mono,ui-monospace,SFMono-Regular,Menlo,Monaco,Consolas,monospace;line-height:clamp(26px, 1.625rem, 39px);--cbp-tab-width:2;tab-size:var(--cbp-tab-width, 2)\"><span style=\"display:block;padding:16px 0 0 16px;margin-bottom:-1px;width:100%;text-align:left;background-color:#282A36\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"54\" height=\"14\" viewBox=\"0 0 54 14\"><g fill=\"none\" fill-rule=\"evenodd\" transform=\"translate(1 1)\"><circle cx=\"6\" cy=\"6\" r=\"6\" fill=\"#FF5F56\" stroke=\"#E0443E\" stroke-width=\".5\"><\/circle><circle cx=\"26\" cy=\"6\" r=\"6\" fill=\"#FFBD2E\" stroke=\"#DEA123\" stroke-width=\".5\"><\/circle><circle cx=\"46\" cy=\"6\" r=\"6\" fill=\"#27C93F\" stroke=\"#1AAB29\" stroke-width=\".5\"><\/circle><\/g><\/svg><\/span><span role=\"button\" tabindex=\"0\" data-code=\"print(z1.real)  # 2.0 (Real part)\nprint(z1.imag)  # 3.0 (Imaginary part)\" style=\"color:#F8F8F2;display:none\" aria-label=\"Copy\" class=\"code-block-pro-copy-button\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" style=\"width:24px;height:24px\" fill=\"none\" viewBox=\"0 0 24 24\" stroke=\"currentColor\" stroke-width=\"2\"><path class=\"with-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2m-6 9l2 2 4-4\"><\/path><path class=\"without-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2\"><\/path><\/svg><\/span><pre class=\"shiki dracula\" style=\"background-color: #282A36\" tabindex=\"0\"><code><span class=\"line\"><span style=\"color: #50FA7B\">print<\/span><span style=\"color: #F8F8F2\">(z1.real)  # <\/span><span style=\"color: #BD93F9\">2.0<\/span><span style=\"color: #F8F8F2\"> (Real part)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #50FA7B\">print<\/span><span style=\"color: #F8F8F2\">(z1.imag)  # <\/span><span style=\"color: #BD93F9\">3.0<\/span><span style=\"color: #F8F8F2\"> (Imaginary part)<\/span><\/span><\/code><\/pre><\/div><h4 class=\"wp-block-heading\">Using Complex Functions<\/h4><p>The <code>cmath<\/code> module provides functions for complex numbers:<\/p><div class=\"wp-block-kevinbatdorf-code-block-pro\" data-code-block-pro-font-family=\"Code-Pro-JetBrains-Mono\" style=\"font-size:clamp(18px, 1.125rem, 27px);font-family:Code-Pro-JetBrains-Mono,ui-monospace,SFMono-Regular,Menlo,Monaco,Consolas,monospace;line-height:clamp(26px, 1.625rem, 39px);--cbp-tab-width:2;tab-size:var(--cbp-tab-width, 2)\"><span style=\"display:block;padding:16px 0 0 16px;margin-bottom:-1px;width:100%;text-align:left;background-color:#282A36\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"54\" height=\"14\" viewBox=\"0 0 54 14\"><g fill=\"none\" fill-rule=\"evenodd\" transform=\"translate(1 1)\"><circle cx=\"6\" cy=\"6\" r=\"6\" fill=\"#FF5F56\" stroke=\"#E0443E\" stroke-width=\".5\"><\/circle><circle cx=\"26\" cy=\"6\" r=\"6\" fill=\"#FFBD2E\" stroke=\"#DEA123\" stroke-width=\".5\"><\/circle><circle cx=\"46\" cy=\"6\" r=\"6\" fill=\"#27C93F\" stroke=\"#1AAB29\" stroke-width=\".5\"><\/circle><\/g><\/svg><\/span><span role=\"button\" tabindex=\"0\" data-code=\"import cmath\nprint(cmath.sqrt(-1))        # 1j (Square root of -1)\nprint(cmath.phase(z1))       # 0.982793723247329 (Phase of z1)\nprint(cmath.polar(z1))       # (3.605551275463989, 0.982793723247329) (Polar coordinates)\" style=\"color:#F8F8F2;display:none\" aria-label=\"Copy\" class=\"code-block-pro-copy-button\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" style=\"width:24px;height:24px\" fill=\"none\" viewBox=\"0 0 24 24\" stroke=\"currentColor\" stroke-width=\"2\"><path class=\"with-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2m-6 9l2 2 4-4\"><\/path><path class=\"without-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2\"><\/path><\/svg><\/span><pre class=\"shiki dracula\" style=\"background-color: #282A36\" tabindex=\"0\"><code><span class=\"line\"><span style=\"color: #FF79C6\">import<\/span><span style=\"color: #F8F8F2\"> cmath<\/span><\/span>\n<span class=\"line\"><span style=\"color: #F8F8F2\">print(cmath.sqrt(-1))        # 1j (Square root of -1)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #F8F8F2\">print(cmath.phase(z1))       # 0.982793723247329 (Phase of z1)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #F8F8F2\">print(cmath.polar(z1))       # (3.605551275463989, 0.982793723247329) (Polar coordinates)<\/span><\/span><\/code><\/pre><\/div><div class=\"wp-block-boldblocks-icon-separator\" role=\"separator\"><div class=\"wp-block-boldblocks-icon-separator__inner icon-center is-align-center\" style=\"--bb-border:1px solid;--bb--icon-width:1em;--bb--icon-spacing:.5em\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 512 512\">\n  <path d=\"M256 464c114.87 0 208-93.13 208-208S370.87 48 256 48 48 141.13 48 256s93.13 208 208 208m-80.09-224L240 303.58V154h32v149.58L336.09 240l22.54 22.71L256 364.54 153.37 262.7Z\"><\/path>\n<\/svg><\/div><\/div><h1 class=\"wp-block-heading has-vivid-green-cyan-color has-text-color has-link-color wp-elements-b3f14598f100841d4d1e1871485e84e9\">4. Arithmetic Operators<\/h1><p>Python provides several arithmetic operators:<\/p><ul class=\"wp-block-list\"><li><strong>Addition (+), Subtraction (-), Multiplication (*), Division (\/ and \/\/):<\/strong><\/li><\/ul><div class=\"wp-block-kevinbatdorf-code-block-pro\" data-code-block-pro-font-family=\"Code-Pro-JetBrains-Mono\" style=\"font-size:clamp(18px, 1.125rem, 27px);font-family:Code-Pro-JetBrains-Mono,ui-monospace,SFMono-Regular,Menlo,Monaco,Consolas,monospace;line-height:clamp(26px, 1.625rem, 39px);--cbp-tab-width:2;tab-size:var(--cbp-tab-width, 2)\"><span style=\"display:block;padding:16px 0 0 16px;margin-bottom:-1px;width:100%;text-align:left;background-color:#282A36\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"54\" height=\"14\" viewBox=\"0 0 54 14\"><g fill=\"none\" fill-rule=\"evenodd\" transform=\"translate(1 1)\"><circle cx=\"6\" cy=\"6\" r=\"6\" fill=\"#FF5F56\" stroke=\"#E0443E\" stroke-width=\".5\"><\/circle><circle cx=\"26\" cy=\"6\" r=\"6\" fill=\"#FFBD2E\" stroke=\"#DEA123\" stroke-width=\".5\"><\/circle><circle cx=\"46\" cy=\"6\" r=\"6\" fill=\"#27C93F\" stroke=\"#1AAB29\" stroke-width=\".5\"><\/circle><\/g><\/svg><\/span><span role=\"button\" tabindex=\"0\" data-code=\"print(10 + 5)  # 15 (Addition)\nprint(10 - 5)  # 5 (Subtraction)\nprint(10 * 5)  # 50 (Multiplication)\nprint(10 \/ 5)  # 2.0 (Division)\nprint(10 \/\/ 5) # 2 (Floor Division)\" style=\"color:#F8F8F2;display:none\" aria-label=\"Copy\" class=\"code-block-pro-copy-button\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" style=\"width:24px;height:24px\" fill=\"none\" viewBox=\"0 0 24 24\" stroke=\"currentColor\" stroke-width=\"2\"><path class=\"with-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2m-6 9l2 2 4-4\"><\/path><path class=\"without-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2\"><\/path><\/svg><\/span><pre class=\"shiki dracula\" style=\"background-color: #282A36\" tabindex=\"0\"><code><span class=\"line\"><span style=\"color: #50FA7B\">print<\/span><span style=\"color: #F8F8F2\">(<\/span><span style=\"color: #BD93F9\">10<\/span><span style=\"color: #F8F8F2\"> <\/span><span style=\"color: #FF79C6\">+<\/span><span style=\"color: #F8F8F2\"> <\/span><span style=\"color: #BD93F9\">5<\/span><span style=\"color: #F8F8F2\">)  # <\/span><span style=\"color: #BD93F9\">15<\/span><span style=\"color: #F8F8F2\"> (Addition)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #50FA7B\">print<\/span><span style=\"color: #F8F8F2\">(<\/span><span style=\"color: #BD93F9\">10<\/span><span style=\"color: #F8F8F2\"> <\/span><span style=\"color: #FF79C6\">-<\/span><span style=\"color: #F8F8F2\"> <\/span><span style=\"color: #BD93F9\">5<\/span><span style=\"color: #F8F8F2\">)  # <\/span><span style=\"color: #BD93F9\">5<\/span><span style=\"color: #F8F8F2\"> (Subtraction)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #50FA7B\">print<\/span><span style=\"color: #F8F8F2\">(<\/span><span style=\"color: #BD93F9\">10<\/span><span style=\"color: #F8F8F2\"> <\/span><span style=\"color: #FF79C6\">*<\/span><span style=\"color: #F8F8F2\"> <\/span><span style=\"color: #BD93F9\">5<\/span><span style=\"color: #F8F8F2\">)  # <\/span><span style=\"color: #BD93F9\">50<\/span><span style=\"color: #F8F8F2\"> (Multiplication)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #50FA7B\">print<\/span><span style=\"color: #F8F8F2\">(<\/span><span style=\"color: #BD93F9\">10<\/span><span style=\"color: #F8F8F2\"> <\/span><span style=\"color: #FF79C6\">\/<\/span><span style=\"color: #F8F8F2\"> <\/span><span style=\"color: #BD93F9\">5<\/span><span style=\"color: #F8F8F2\">)  # <\/span><span style=\"color: #BD93F9\">2.0<\/span><span style=\"color: #F8F8F2\"> (Division)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #50FA7B\">print<\/span><span style=\"color: #F8F8F2\">(<\/span><span style=\"color: #BD93F9\">10<\/span><span style=\"color: #F8F8F2\"> <\/span><span style=\"color: #6272A4\">\/\/ 5) # 2 (Floor Division)<\/span><\/span><\/code><\/pre><\/div><p><strong>Modulus (%), Exponentiation (<\/strong>):**<\/p><div class=\"wp-block-kevinbatdorf-code-block-pro\" data-code-block-pro-font-family=\"Code-Pro-JetBrains-Mono\" style=\"font-size:clamp(18px, 1.125rem, 27px);font-family:Code-Pro-JetBrains-Mono,ui-monospace,SFMono-Regular,Menlo,Monaco,Consolas,monospace;line-height:clamp(26px, 1.625rem, 39px);--cbp-tab-width:2;tab-size:var(--cbp-tab-width, 2)\"><span style=\"display:block;padding:16px 0 0 16px;margin-bottom:-1px;width:100%;text-align:left;background-color:#282A36\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"54\" height=\"14\" viewBox=\"0 0 54 14\"><g fill=\"none\" fill-rule=\"evenodd\" transform=\"translate(1 1)\"><circle cx=\"6\" cy=\"6\" r=\"6\" fill=\"#FF5F56\" stroke=\"#E0443E\" stroke-width=\".5\"><\/circle><circle cx=\"26\" cy=\"6\" r=\"6\" fill=\"#FFBD2E\" stroke=\"#DEA123\" stroke-width=\".5\"><\/circle><circle cx=\"46\" cy=\"6\" r=\"6\" fill=\"#27C93F\" stroke=\"#1AAB29\" stroke-width=\".5\"><\/circle><\/g><\/svg><\/span><span role=\"button\" tabindex=\"0\" data-code=\"print(10 % 3)  # 1 (Modulus)\nprint(2 ** 3)  # 8 (Exponentiation)\" style=\"color:#F8F8F2;display:none\" aria-label=\"Copy\" class=\"code-block-pro-copy-button\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" style=\"width:24px;height:24px\" fill=\"none\" viewBox=\"0 0 24 24\" stroke=\"currentColor\" stroke-width=\"2\"><path class=\"with-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2m-6 9l2 2 4-4\"><\/path><path class=\"without-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2\"><\/path><\/svg><\/span><pre class=\"shiki dracula\" style=\"background-color: #282A36\" tabindex=\"0\"><code><span class=\"line\"><span style=\"color: #50FA7B\">print<\/span><span style=\"color: #F8F8F2\">(<\/span><span style=\"color: #BD93F9\">10<\/span><span style=\"color: #F8F8F2\"> <\/span><span style=\"color: #FF79C6\">%<\/span><span style=\"color: #F8F8F2\"> <\/span><span style=\"color: #BD93F9\">3<\/span><span style=\"color: #F8F8F2\">)  # <\/span><span style=\"color: #BD93F9\">1<\/span><span style=\"color: #F8F8F2\"> (Modulus)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #50FA7B\">print<\/span><span style=\"color: #F8F8F2\">(<\/span><span style=\"color: #BD93F9\">2<\/span><span style=\"color: #F8F8F2\"> <\/span><span style=\"color: #FF79C6\">**<\/span><span style=\"color: #F8F8F2\"> <\/span><span style=\"color: #BD93F9\">3<\/span><span style=\"color: #F8F8F2\">)  # <\/span><span style=\"color: #BD93F9\">8<\/span><span style=\"color: #F8F8F2\"> (Exponentiation)<\/span><\/span><\/code><\/pre><\/div><p><strong>Order of Operations (PEMDAS\/BODMAS):<\/strong><\/p><div class=\"wp-block-kevinbatdorf-code-block-pro\" data-code-block-pro-font-family=\"Code-Pro-JetBrains-Mono\" style=\"font-size:clamp(18px, 1.125rem, 27px);font-family:Code-Pro-JetBrains-Mono,ui-monospace,SFMono-Regular,Menlo,Monaco,Consolas,monospace;line-height:clamp(26px, 1.625rem, 39px);--cbp-tab-width:2;tab-size:var(--cbp-tab-width, 2)\"><span style=\"display:block;padding:16px 0 0 16px;margin-bottom:-1px;width:100%;text-align:left;background-color:#282A36\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"54\" height=\"14\" viewBox=\"0 0 54 14\"><g fill=\"none\" fill-rule=\"evenodd\" transform=\"translate(1 1)\"><circle cx=\"6\" cy=\"6\" r=\"6\" fill=\"#FF5F56\" stroke=\"#E0443E\" stroke-width=\".5\"><\/circle><circle cx=\"26\" cy=\"6\" r=\"6\" fill=\"#FFBD2E\" stroke=\"#DEA123\" stroke-width=\".5\"><\/circle><circle cx=\"46\" cy=\"6\" r=\"6\" fill=\"#27C93F\" stroke=\"#1AAB29\" stroke-width=\".5\"><\/circle><\/g><\/svg><\/span><span role=\"button\" tabindex=\"0\" data-code=\"print(2 + 3 * 4)    # 14 (Multiplication before Addition)\nprint((2 + 3) * 4)  # 20 (Parentheses first)\" style=\"color:#F8F8F2;display:none\" aria-label=\"Copy\" class=\"code-block-pro-copy-button\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" style=\"width:24px;height:24px\" fill=\"none\" viewBox=\"0 0 24 24\" stroke=\"currentColor\" stroke-width=\"2\"><path class=\"with-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2m-6 9l2 2 4-4\"><\/path><path class=\"without-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2\"><\/path><\/svg><\/span><pre class=\"shiki dracula\" style=\"background-color: #282A36\" tabindex=\"0\"><code><span class=\"line\"><span style=\"color: #50FA7B\">print<\/span><span style=\"color: #F8F8F2\">(<\/span><span style=\"color: #BD93F9\">2<\/span><span style=\"color: #F8F8F2\"> <\/span><span style=\"color: #FF79C6\">+<\/span><span style=\"color: #F8F8F2\"> <\/span><span style=\"color: #BD93F9\">3<\/span><span style=\"color: #F8F8F2\"> <\/span><span style=\"color: #FF79C6\">*<\/span><span style=\"color: #F8F8F2\"> <\/span><span style=\"color: #BD93F9\">4<\/span><span style=\"color: #F8F8F2\">)    # <\/span><span style=\"color: #BD93F9\">14<\/span><span style=\"color: #F8F8F2\"> (Multiplication before Addition)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #50FA7B\">print<\/span><span style=\"color: #F8F8F2\">((<\/span><span style=\"color: #BD93F9\">2<\/span><span style=\"color: #F8F8F2\"> <\/span><span style=\"color: #FF79C6\">+<\/span><span style=\"color: #F8F8F2\"> <\/span><span style=\"color: #BD93F9\">3<\/span><span style=\"color: #F8F8F2\">) <\/span><span style=\"color: #FF79C6\">*<\/span><span style=\"color: #F8F8F2\"> <\/span><span style=\"color: #BD93F9\">4<\/span><span style=\"color: #F8F8F2\">)  # <\/span><span style=\"color: #BD93F9\">20<\/span><span style=\"color: #F8F8F2\"> (Parentheses first)<\/span><\/span><\/code><\/pre><\/div><div class=\"wp-block-boldblocks-icon-separator\" role=\"separator\"><div class=\"wp-block-boldblocks-icon-separator__inner icon-center is-align-center\" style=\"--bb-border:1px solid;--bb--icon-width:1em;--bb--icon-spacing:.5em\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 512 512\">\n  <path d=\"M256 464c114.87 0 208-93.13 208-208S370.87 48 256 48 48 141.13 48 256s93.13 208 208 208m-80.09-224L240 303.58V154h32v149.58L336.09 240l22.54 22.71L256 364.54 153.37 262.7Z\"><\/path>\n<\/svg><\/div><\/div><h1 class=\"wp-block-heading has-vivid-green-cyan-color has-text-color has-link-color wp-elements-ffa94e75f81fd8c2b589949347a43873\">5. Built-in Functions for Numbers<\/h1><p>Python provides several built-in functions for numbers:<\/p><ul class=\"wp-block-list\"><li><strong><code>abs()<\/code>: Absolute Value:<\/strong><\/li><\/ul><div class=\"wp-block-kevinbatdorf-code-block-pro\" data-code-block-pro-font-family=\"Code-Pro-JetBrains-Mono\" style=\"font-size:clamp(18px, 1.125rem, 27px);font-family:Code-Pro-JetBrains-Mono,ui-monospace,SFMono-Regular,Menlo,Monaco,Consolas,monospace;line-height:clamp(26px, 1.625rem, 39px);--cbp-tab-width:2;tab-size:var(--cbp-tab-width, 2)\"><span style=\"display:block;padding:16px 0 0 16px;margin-bottom:-1px;width:100%;text-align:left;background-color:#282A36\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"54\" height=\"14\" viewBox=\"0 0 54 14\"><g fill=\"none\" fill-rule=\"evenodd\" transform=\"translate(1 1)\"><circle cx=\"6\" cy=\"6\" r=\"6\" fill=\"#FF5F56\" stroke=\"#E0443E\" stroke-width=\".5\"><\/circle><circle cx=\"26\" cy=\"6\" r=\"6\" fill=\"#FFBD2E\" stroke=\"#DEA123\" stroke-width=\".5\"><\/circle><circle cx=\"46\" cy=\"6\" r=\"6\" fill=\"#27C93F\" stroke=\"#1AAB29\" stroke-width=\".5\"><\/circle><\/g><\/svg><\/span><span role=\"button\" tabindex=\"0\" data-code=\"print(abs(-10))  # 10 (Absolute value of -10)\" style=\"color:#F8F8F2;display:none\" aria-label=\"Copy\" class=\"code-block-pro-copy-button\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" style=\"width:24px;height:24px\" fill=\"none\" viewBox=\"0 0 24 24\" stroke=\"currentColor\" stroke-width=\"2\"><path class=\"with-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2m-6 9l2 2 4-4\"><\/path><path class=\"without-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2\"><\/path><\/svg><\/span><pre class=\"shiki dracula\" style=\"background-color: #282A36\" tabindex=\"0\"><code><span class=\"line\"><span style=\"color: #50FA7B\">print<\/span><span style=\"color: #F8F8F2\">(<\/span><span style=\"color: #50FA7B\">abs<\/span><span style=\"color: #F8F8F2\">(<\/span><span style=\"color: #FF79C6\">-<\/span><span style=\"color: #BD93F9\">10<\/span><span style=\"color: #F8F8F2\">))  # <\/span><span style=\"color: #BD93F9\">10<\/span><span style=\"color: #F8F8F2\"> (Absolute value <\/span><span style=\"color: #FF79C6\">of<\/span><span style=\"color: #F8F8F2\"> <\/span><span style=\"color: #FF79C6\">-<\/span><span style=\"color: #BD93F9\">10<\/span><span style=\"color: #F8F8F2\">)<\/span><\/span><\/code><\/pre><\/div><ul class=\"wp-block-list\"><li><strong><code>round()<\/code>: Rounding Numbers:<\/strong><\/li><\/ul><div class=\"wp-block-kevinbatdorf-code-block-pro\" data-code-block-pro-font-family=\"Code-Pro-JetBrains-Mono\" style=\"font-size:clamp(18px, 1.125rem, 27px);font-family:Code-Pro-JetBrains-Mono,ui-monospace,SFMono-Regular,Menlo,Monaco,Consolas,monospace;line-height:clamp(26px, 1.625rem, 39px);--cbp-tab-width:2;tab-size:var(--cbp-tab-width, 2)\"><span style=\"display:block;padding:16px 0 0 16px;margin-bottom:-1px;width:100%;text-align:left;background-color:#282A36\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"54\" height=\"14\" viewBox=\"0 0 54 14\"><g fill=\"none\" fill-rule=\"evenodd\" transform=\"translate(1 1)\"><circle cx=\"6\" cy=\"6\" r=\"6\" fill=\"#FF5F56\" stroke=\"#E0443E\" stroke-width=\".5\"><\/circle><circle cx=\"26\" cy=\"6\" r=\"6\" fill=\"#FFBD2E\" stroke=\"#DEA123\" stroke-width=\".5\"><\/circle><circle cx=\"46\" cy=\"6\" r=\"6\" fill=\"#27C93F\" stroke=\"#1AAB29\" stroke-width=\".5\"><\/circle><\/g><\/svg><\/span><span role=\"button\" tabindex=\"0\" data-code=\"print(round(3.14159, 2))  # 3.14 (Rounding to 2 decimal places)\" style=\"color:#F8F8F2;display:none\" aria-label=\"Copy\" class=\"code-block-pro-copy-button\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" style=\"width:24px;height:24px\" fill=\"none\" viewBox=\"0 0 24 24\" stroke=\"currentColor\" stroke-width=\"2\"><path class=\"with-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2m-6 9l2 2 4-4\"><\/path><path class=\"without-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2\"><\/path><\/svg><\/span><pre class=\"shiki dracula\" style=\"background-color: #282A36\" tabindex=\"0\"><code><span class=\"line\"><span style=\"color: #50FA7B\">print<\/span><span style=\"color: #F8F8F2\">(<\/span><span style=\"color: #50FA7B\">round<\/span><span style=\"color: #F8F8F2\">(<\/span><span style=\"color: #BD93F9\">3.14159<\/span><span style=\"color: #F8F8F2\">, <\/span><span style=\"color: #BD93F9\">2<\/span><span style=\"color: #F8F8F2\">))  # <\/span><span style=\"color: #BD93F9\">3.14<\/span><span style=\"color: #F8F8F2\"> (Rounding to <\/span><span style=\"color: #BD93F9\">2<\/span><span style=\"color: #F8F8F2\"> decimal places)<\/span><\/span><\/code><\/pre><\/div><ul class=\"wp-block-list\"><li><strong><code>pow()<\/code>: Power Function:<\/strong><\/li><\/ul><div class=\"wp-block-kevinbatdorf-code-block-pro\" data-code-block-pro-font-family=\"Code-Pro-JetBrains-Mono\" style=\"font-size:clamp(18px, 1.125rem, 27px);font-family:Code-Pro-JetBrains-Mono,ui-monospace,SFMono-Regular,Menlo,Monaco,Consolas,monospace;line-height:clamp(26px, 1.625rem, 39px);--cbp-tab-width:2;tab-size:var(--cbp-tab-width, 2)\"><span style=\"display:block;padding:16px 0 0 16px;margin-bottom:-1px;width:100%;text-align:left;background-color:#282A36\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"54\" height=\"14\" viewBox=\"0 0 54 14\"><g fill=\"none\" fill-rule=\"evenodd\" transform=\"translate(1 1)\"><circle cx=\"6\" cy=\"6\" r=\"6\" fill=\"#FF5F56\" stroke=\"#E0443E\" stroke-width=\".5\"><\/circle><circle cx=\"26\" cy=\"6\" r=\"6\" fill=\"#FFBD2E\" stroke=\"#DEA123\" stroke-width=\".5\"><\/circle><circle cx=\"46\" cy=\"6\" r=\"6\" fill=\"#27C93F\" stroke=\"#1AAB29\" stroke-width=\".5\"><\/circle><\/g><\/svg><\/span><span role=\"button\" tabindex=\"0\" data-code=\"print(pow(2, 3))  # 8 (2 to the power of 3)\" style=\"color:#F8F8F2;display:none\" aria-label=\"Copy\" class=\"code-block-pro-copy-button\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" style=\"width:24px;height:24px\" fill=\"none\" viewBox=\"0 0 24 24\" stroke=\"currentColor\" stroke-width=\"2\"><path class=\"with-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2m-6 9l2 2 4-4\"><\/path><path class=\"without-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2\"><\/path><\/svg><\/span><pre class=\"shiki dracula\" style=\"background-color: #282A36\" tabindex=\"0\"><code><span class=\"line\"><span style=\"color: #50FA7B\">print<\/span><span style=\"color: #F8F8F2\">(<\/span><span style=\"color: #50FA7B\">pow<\/span><span style=\"color: #F8F8F2\">(<\/span><span style=\"color: #BD93F9\">2<\/span><span style=\"color: #F8F8F2\">, <\/span><span style=\"color: #BD93F9\">3<\/span><span style=\"color: #F8F8F2\">))  # <\/span><span style=\"color: #BD93F9\">8<\/span><span style=\"color: #F8F8F2\"> (<\/span><span style=\"color: #BD93F9\">2<\/span><span style=\"color: #F8F8F2\"> to the power <\/span><span style=\"color: #FF79C6\">of<\/span><span style=\"color: #F8F8F2\"> <\/span><span style=\"color: #BD93F9\">3<\/span><span style=\"color: #F8F8F2\">)<\/span><\/span><\/code><\/pre><\/div><ul class=\"wp-block-list\"><li><strong><code>divmod()<\/code>: Division and Modulus:<\/strong><\/li><\/ul><div class=\"wp-block-kevinbatdorf-code-block-pro\" data-code-block-pro-font-family=\"Code-Pro-JetBrains-Mono\" style=\"font-size:clamp(18px, 1.125rem, 27px);font-family:Code-Pro-JetBrains-Mono,ui-monospace,SFMono-Regular,Menlo,Monaco,Consolas,monospace;line-height:clamp(26px, 1.625rem, 39px);--cbp-tab-width:2;tab-size:var(--cbp-tab-width, 2)\"><span style=\"display:block;padding:16px 0 0 16px;margin-bottom:-1px;width:100%;text-align:left;background-color:#282A36\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"54\" height=\"14\" viewBox=\"0 0 54 14\"><g fill=\"none\" fill-rule=\"evenodd\" transform=\"translate(1 1)\"><circle cx=\"6\" cy=\"6\" r=\"6\" fill=\"#FF5F56\" stroke=\"#E0443E\" stroke-width=\".5\"><\/circle><circle cx=\"26\" cy=\"6\" r=\"6\" fill=\"#FFBD2E\" stroke=\"#DEA123\" stroke-width=\".5\"><\/circle><circle cx=\"46\" cy=\"6\" r=\"6\" fill=\"#27C93F\" stroke=\"#1AAB29\" stroke-width=\".5\"><\/circle><\/g><\/svg><\/span><span role=\"button\" tabindex=\"0\" data-code=\"print(divmod(10, 3))  # (3, 1) (Division and modulus)\" style=\"color:#F8F8F2;display:none\" aria-label=\"Copy\" class=\"code-block-pro-copy-button\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" style=\"width:24px;height:24px\" fill=\"none\" viewBox=\"0 0 24 24\" stroke=\"currentColor\" stroke-width=\"2\"><path class=\"with-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2m-6 9l2 2 4-4\"><\/path><path class=\"without-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2\"><\/path><\/svg><\/span><pre class=\"shiki dracula\" style=\"background-color: #282A36\" tabindex=\"0\"><code><span class=\"line\"><span style=\"color: #50FA7B\">print<\/span><span style=\"color: #F8F8F2\">(<\/span><span style=\"color: #50FA7B\">divmod<\/span><span style=\"color: #F8F8F2\">(<\/span><span style=\"color: #BD93F9\">10<\/span><span style=\"color: #F8F8F2\">, <\/span><span style=\"color: #BD93F9\">3<\/span><span style=\"color: #F8F8F2\">))  # (<\/span><span style=\"color: #BD93F9\">3<\/span><span style=\"color: #F8F8F2\">, <\/span><span style=\"color: #BD93F9\">1<\/span><span style=\"color: #F8F8F2\">) (Division and modulus)<\/span><\/span><\/code><\/pre><\/div><ul class=\"wp-block-list\"><li><strong><code>sum()<\/code>: Summation:<\/strong><\/li><\/ul><div class=\"wp-block-kevinbatdorf-code-block-pro\" data-code-block-pro-font-family=\"Code-Pro-JetBrains-Mono\" style=\"font-size:clamp(18px, 1.125rem, 27px);font-family:Code-Pro-JetBrains-Mono,ui-monospace,SFMono-Regular,Menlo,Monaco,Consolas,monospace;line-height:clamp(26px, 1.625rem, 39px);--cbp-tab-width:2;tab-size:var(--cbp-tab-width, 2)\"><span style=\"display:block;padding:16px 0 0 16px;margin-bottom:-1px;width:100%;text-align:left;background-color:#282A36\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"54\" height=\"14\" viewBox=\"0 0 54 14\"><g fill=\"none\" fill-rule=\"evenodd\" transform=\"translate(1 1)\"><circle cx=\"6\" cy=\"6\" r=\"6\" fill=\"#FF5F56\" stroke=\"#E0443E\" stroke-width=\".5\"><\/circle><circle cx=\"26\" cy=\"6\" r=\"6\" fill=\"#FFBD2E\" stroke=\"#DEA123\" stroke-width=\".5\"><\/circle><circle cx=\"46\" cy=\"6\" r=\"6\" fill=\"#27C93F\" stroke=\"#1AAB29\" stroke-width=\".5\"><\/circle><\/g><\/svg><\/span><span role=\"button\" tabindex=\"0\" data-code=\"print(sum([1, 2, 3, 4]))  # 10 (Sum of list elements)\" style=\"color:#F8F8F2;display:none\" aria-label=\"Copy\" class=\"code-block-pro-copy-button\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" style=\"width:24px;height:24px\" fill=\"none\" viewBox=\"0 0 24 24\" stroke=\"currentColor\" stroke-width=\"2\"><path class=\"with-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2m-6 9l2 2 4-4\"><\/path><path class=\"without-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2\"><\/path><\/svg><\/span><pre class=\"shiki dracula\" style=\"background-color: #282A36\" tabindex=\"0\"><code><span class=\"line\"><span style=\"color: #50FA7B\">print<\/span><span style=\"color: #F8F8F2\">(<\/span><span style=\"color: #50FA7B\">sum<\/span><span style=\"color: #F8F8F2\">([<\/span><span style=\"color: #BD93F9\">1<\/span><span style=\"color: #F8F8F2\">, <\/span><span style=\"color: #BD93F9\">2<\/span><span style=\"color: #F8F8F2\">, <\/span><span style=\"color: #BD93F9\">3<\/span><span style=\"color: #F8F8F2\">, <\/span><span style=\"color: #BD93F9\">4<\/span><span style=\"color: #F8F8F2\">]))  # <\/span><span style=\"color: #BD93F9\">10<\/span><span style=\"color: #F8F8F2\"> (Sum <\/span><span style=\"color: #FF79C6\">of<\/span><span style=\"color: #F8F8F2\"> list elements)<\/span><\/span><\/code><\/pre><\/div><ul class=\"wp-block-list\"><li><strong><code>min()<\/code> and <code>max()<\/code>: Minimum and Maximum Values:<\/strong><\/li><\/ul><div class=\"wp-block-kevinbatdorf-code-block-pro\" data-code-block-pro-font-family=\"Code-Pro-JetBrains-Mono\" style=\"font-size:clamp(18px, 1.125rem, 27px);font-family:Code-Pro-JetBrains-Mono,ui-monospace,SFMono-Regular,Menlo,Monaco,Consolas,monospace;line-height:clamp(26px, 1.625rem, 39px);--cbp-tab-width:2;tab-size:var(--cbp-tab-width, 2)\"><span style=\"display:block;padding:16px 0 0 16px;margin-bottom:-1px;width:100%;text-align:left;background-color:#282A36\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"54\" height=\"14\" viewBox=\"0 0 54 14\"><g fill=\"none\" fill-rule=\"evenodd\" transform=\"translate(1 1)\"><circle cx=\"6\" cy=\"6\" r=\"6\" fill=\"#FF5F56\" stroke=\"#E0443E\" stroke-width=\".5\"><\/circle><circle cx=\"26\" cy=\"6\" r=\"6\" fill=\"#FFBD2E\" stroke=\"#DEA123\" stroke-width=\".5\"><\/circle><circle cx=\"46\" cy=\"6\" r=\"6\" fill=\"#27C93F\" stroke=\"#1AAB29\" stroke-width=\".5\"><\/circle><\/g><\/svg><\/span><span role=\"button\" tabindex=\"0\" data-code=\"print(min(1, 2, 3, 4))  # 1 (Minimum value)\nprint(max(1, 2, 3, 4))  # 4 (Maximum value)\" style=\"color:#F8F8F2;display:none\" aria-label=\"Copy\" class=\"code-block-pro-copy-button\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" style=\"width:24px;height:24px\" fill=\"none\" viewBox=\"0 0 24 24\" stroke=\"currentColor\" stroke-width=\"2\"><path class=\"with-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2m-6 9l2 2 4-4\"><\/path><path class=\"without-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2\"><\/path><\/svg><\/span><pre class=\"shiki dracula\" style=\"background-color: #282A36\" tabindex=\"0\"><code><span class=\"line\"><span style=\"color: #50FA7B\">print<\/span><span style=\"color: #F8F8F2\">(<\/span><span style=\"color: #50FA7B\">min<\/span><span style=\"color: #F8F8F2\">(<\/span><span style=\"color: #BD93F9\">1<\/span><span style=\"color: #F8F8F2\">, <\/span><span style=\"color: #BD93F9\">2<\/span><span style=\"color: #F8F8F2\">, <\/span><span style=\"color: #BD93F9\">3<\/span><span style=\"color: #F8F8F2\">, <\/span><span style=\"color: #BD93F9\">4<\/span><span style=\"color: #F8F8F2\">))  # <\/span><span style=\"color: #BD93F9\">1<\/span><span style=\"color: #F8F8F2\"> (Minimum value)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #50FA7B\">print<\/span><span style=\"color: #F8F8F2\">(<\/span><span style=\"color: #50FA7B\">max<\/span><span style=\"color: #F8F8F2\">(<\/span><span style=\"color: #BD93F9\">1<\/span><span style=\"color: #F8F8F2\">, <\/span><span style=\"color: #BD93F9\">2<\/span><span style=\"color: #F8F8F2\">, <\/span><span style=\"color: #BD93F9\">3<\/span><span style=\"color: #F8F8F2\">, <\/span><span style=\"color: #BD93F9\">4<\/span><span style=\"color: #F8F8F2\">))  # <\/span><span style=\"color: #BD93F9\">4<\/span><span style=\"color: #F8F8F2\"> (Maximum value)<\/span><\/span><\/code><\/pre><\/div><div class=\"wp-block-boldblocks-icon-separator\" role=\"separator\"><div class=\"wp-block-boldblocks-icon-separator__inner icon-center is-align-center\" style=\"--bb-border:1px solid;--bb--icon-width:1em;--bb--icon-spacing:.5em\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 512 512\">\n  <path d=\"M256 464c114.87 0 208-93.13 208-208S370.87 48 256 48 48 141.13 48 256s93.13 208 208 208m-80.09-224L240 303.58V154h32v149.58L336.09 240l22.54 22.71L256 364.54 153.37 262.7Z\"><\/path>\n<\/svg><\/div><\/div><h1 class=\"wp-block-heading has-vivid-green-cyan-color has-text-color has-link-color wp-elements-9bad7ad79c982aa971e655e67867333b\">6. Number Methods<\/h1><p>Python provides several methods for number objects:<\/p><ul class=\"wp-block-list\"><li><strong>Methods for <code>int<\/code>:<\/strong><\/li><\/ul><div class=\"wp-block-kevinbatdorf-code-block-pro\" data-code-block-pro-font-family=\"Code-Pro-JetBrains-Mono\" style=\"font-size:clamp(18px, 1.125rem, 27px);font-family:Code-Pro-JetBrains-Mono,ui-monospace,SFMono-Regular,Menlo,Monaco,Consolas,monospace;line-height:clamp(26px, 1.625rem, 39px);--cbp-tab-width:2;tab-size:var(--cbp-tab-width, 2)\"><span style=\"display:block;padding:16px 0 0 16px;margin-bottom:-1px;width:100%;text-align:left;background-color:#282A36\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"54\" height=\"14\" viewBox=\"0 0 54 14\"><g fill=\"none\" fill-rule=\"evenodd\" transform=\"translate(1 1)\"><circle cx=\"6\" cy=\"6\" r=\"6\" fill=\"#FF5F56\" stroke=\"#E0443E\" stroke-width=\".5\"><\/circle><circle cx=\"26\" cy=\"6\" r=\"6\" fill=\"#FFBD2E\" stroke=\"#DEA123\" stroke-width=\".5\"><\/circle><circle cx=\"46\" cy=\"6\" r=\"6\" fill=\"#27C93F\" stroke=\"#1AAB29\" stroke-width=\".5\"><\/circle><\/g><\/svg><\/span><span role=\"button\" tabindex=\"0\" data-code=\"n = 10\nprint(n.bit_length())  # 4 (Number of bits required to represent the integer)\" style=\"color:#F8F8F2;display:none\" aria-label=\"Copy\" class=\"code-block-pro-copy-button\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" style=\"width:24px;height:24px\" fill=\"none\" viewBox=\"0 0 24 24\" stroke=\"currentColor\" stroke-width=\"2\"><path class=\"with-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2m-6 9l2 2 4-4\"><\/path><path class=\"without-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2\"><\/path><\/svg><\/span><pre class=\"shiki dracula\" style=\"background-color: #282A36\" tabindex=\"0\"><code><span class=\"line\"><span style=\"color: #F8F8F2\">n <\/span><span style=\"color: #FF79C6\">=<\/span><span style=\"color: #F8F8F2\"> <\/span><span style=\"color: #BD93F9\">10<\/span><\/span>\n<span class=\"line\"><span style=\"color: #50FA7B\">print<\/span><span style=\"color: #F8F8F2\">(n.<\/span><span style=\"color: #50FA7B\">bit_length<\/span><span style=\"color: #F8F8F2\">())  # <\/span><span style=\"color: #BD93F9\">4<\/span><span style=\"color: #F8F8F2\"> (Number <\/span><span style=\"color: #FF79C6\">of<\/span><span style=\"color: #F8F8F2\"> bits required to represent the integer)<\/span><\/span><\/code><\/pre><\/div><ul class=\"wp-block-list\"><li><strong>Methods for <code>float<\/code>:<\/strong><\/li><\/ul><div class=\"wp-block-kevinbatdorf-code-block-pro\" data-code-block-pro-font-family=\"Code-Pro-JetBrains-Mono\" style=\"font-size:clamp(18px, 1.125rem, 27px);font-family:Code-Pro-JetBrains-Mono,ui-monospace,SFMono-Regular,Menlo,Monaco,Consolas,monospace;line-height:clamp(26px, 1.625rem, 39px);--cbp-tab-width:2;tab-size:var(--cbp-tab-width, 2)\"><span style=\"display:block;padding:16px 0 0 16px;margin-bottom:-1px;width:100%;text-align:left;background-color:#282A36\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"54\" height=\"14\" viewBox=\"0 0 54 14\"><g fill=\"none\" fill-rule=\"evenodd\" transform=\"translate(1 1)\"><circle cx=\"6\" cy=\"6\" r=\"6\" fill=\"#FF5F56\" stroke=\"#E0443E\" stroke-width=\".5\"><\/circle><circle cx=\"26\" cy=\"6\" r=\"6\" fill=\"#FFBD2E\" stroke=\"#DEA123\" stroke-width=\".5\"><\/circle><circle cx=\"46\" cy=\"6\" r=\"6\" fill=\"#27C93F\" stroke=\"#1AAB29\" stroke-width=\".5\"><\/circle><\/g><\/svg><\/span><span role=\"button\" tabindex=\"0\" data-code=\"f = 3.14\nprint(f.is_integer())  # False (Check if the float is an integer)\nprint(f.hex())         # '0x1.91eb851eb851fp+1' (Hexadecimal representation)\" style=\"color:#F8F8F2;display:none\" aria-label=\"Copy\" class=\"code-block-pro-copy-button\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" style=\"width:24px;height:24px\" fill=\"none\" viewBox=\"0 0 24 24\" stroke=\"currentColor\" stroke-width=\"2\"><path class=\"with-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2m-6 9l2 2 4-4\"><\/path><path class=\"without-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2\"><\/path><\/svg><\/span><pre class=\"shiki dracula\" style=\"background-color: #282A36\" tabindex=\"0\"><code><span class=\"line\"><span style=\"color: #F8F8F2\">f <\/span><span style=\"color: #FF79C6\">=<\/span><span style=\"color: #F8F8F2\"> <\/span><span style=\"color: #BD93F9\">3.14<\/span><\/span>\n<span class=\"line\"><span style=\"color: #50FA7B\">print<\/span><span style=\"color: #F8F8F2\">(f.<\/span><span style=\"color: #50FA7B\">is_integer<\/span><span style=\"color: #F8F8F2\">())  # <\/span><span style=\"color: #50FA7B\">False<\/span><span style=\"color: #F8F8F2\"> (Check if the float is an integer)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #50FA7B\">print<\/span><span style=\"color: #F8F8F2\">(f.<\/span><span style=\"color: #50FA7B\">hex<\/span><span style=\"color: #F8F8F2\">())         # <\/span><span style=\"color: #E9F284\">&#39;<\/span><span style=\"color: #F1FA8C\">0x1.91eb851eb851fp+1<\/span><span style=\"color: #E9F284\">&#39;<\/span><span style=\"color: #F8F8F2\"> (Hexadecimal representation)<\/span><\/span><\/code><\/pre><\/div><ul class=\"wp-block-list\"><li><strong>Methods for <code>complex<\/code>:<\/strong><\/li><\/ul><div class=\"wp-block-kevinbatdorf-code-block-pro\" data-code-block-pro-font-family=\"Code-Pro-JetBrains-Mono\" style=\"font-size:clamp(18px, 1.125rem, 27px);font-family:Code-Pro-JetBrains-Mono,ui-monospace,SFMono-Regular,Menlo,Monaco,Consolas,monospace;line-height:clamp(26px, 1.625rem, 39px);--cbp-tab-width:2;tab-size:var(--cbp-tab-width, 2)\"><span style=\"display:block;padding:16px 0 0 16px;margin-bottom:-1px;width:100%;text-align:left;background-color:#282A36\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"54\" height=\"14\" viewBox=\"0 0 54 14\"><g fill=\"none\" fill-rule=\"evenodd\" transform=\"translate(1 1)\"><circle cx=\"6\" cy=\"6\" r=\"6\" fill=\"#FF5F56\" stroke=\"#E0443E\" stroke-width=\".5\"><\/circle><circle cx=\"26\" cy=\"6\" r=\"6\" fill=\"#FFBD2E\" stroke=\"#DEA123\" stroke-width=\".5\"><\/circle><circle cx=\"46\" cy=\"6\" r=\"6\" fill=\"#27C93F\" stroke=\"#1AAB29\" stroke-width=\".5\"><\/circle><\/g><\/svg><\/span><span role=\"button\" tabindex=\"0\" data-code=\"c = 3 + 4j\nprint(c.conjugate())  # (3-4j) (Complex conjugate)\" style=\"color:#F8F8F2;display:none\" aria-label=\"Copy\" class=\"code-block-pro-copy-button\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" style=\"width:24px;height:24px\" fill=\"none\" viewBox=\"0 0 24 24\" stroke=\"currentColor\" stroke-width=\"2\"><path class=\"with-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2m-6 9l2 2 4-4\"><\/path><path class=\"without-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2\"><\/path><\/svg><\/span><pre class=\"shiki dracula\" style=\"background-color: #282A36\" tabindex=\"0\"><code><span class=\"line\"><span style=\"color: #F8F8F2\">c <\/span><span style=\"color: #FF79C6\">=<\/span><span style=\"color: #F8F8F2\"> <\/span><span style=\"color: #BD93F9\">3<\/span><span style=\"color: #F8F8F2\"> <\/span><span style=\"color: #FF79C6\">+<\/span><span style=\"color: #F8F8F2\"> 4j<\/span><\/span>\n<span class=\"line\"><span style=\"color: #50FA7B\">print<\/span><span style=\"color: #F8F8F2\">(c.<\/span><span style=\"color: #50FA7B\">conjugate<\/span><span style=\"color: #F8F8F2\">())  # (<\/span><span style=\"color: #BD93F9\">3<\/span><span style=\"color: #FF79C6\">-<\/span><span style=\"color: #F8F8F2\">4j) (Complex conjugate)<\/span><\/span><\/code><\/pre><\/div><div class=\"wp-block-boldblocks-icon-separator\" role=\"separator\"><div class=\"wp-block-boldblocks-icon-separator__inner icon-center is-align-center\" style=\"--bb-border:1px solid;--bb--icon-width:1em;--bb--icon-spacing:.5em\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 512 512\">\n  <path d=\"M256 464c114.87 0 208-93.13 208-208S370.87 48 256 48 48 141.13 48 256s93.13 208 208 208m-80.09-224L240 303.58V154h32v149.58L336.09 240l22.54 22.71L256 364.54 153.37 262.7Z\"><\/path>\n<\/svg><\/div><\/div><h1 class=\"wp-block-heading has-vivid-green-cyan-color has-text-color has-link-color wp-elements-9ed716f2b96f956a15331dda95231b70\">7. Working with Large Numbers<\/h1><h4 class=\"wp-block-heading\">Handling Large Integers<\/h4><p>Python handles large integers gracefully without overflow.<\/p><div class=\"wp-block-kevinbatdorf-code-block-pro\" data-code-block-pro-font-family=\"Code-Pro-JetBrains-Mono\" style=\"font-size:clamp(18px, 1.125rem, 27px);font-family:Code-Pro-JetBrains-Mono,ui-monospace,SFMono-Regular,Menlo,Monaco,Consolas,monospace;line-height:clamp(26px, 1.625rem, 39px);--cbp-tab-width:2;tab-size:var(--cbp-tab-width, 2)\"><span style=\"display:block;padding:16px 0 0 16px;margin-bottom:-1px;width:100%;text-align:left;background-color:#282A36\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"54\" height=\"14\" viewBox=\"0 0 54 14\"><g fill=\"none\" fill-rule=\"evenodd\" transform=\"translate(1 1)\"><circle cx=\"6\" cy=\"6\" r=\"6\" fill=\"#FF5F56\" stroke=\"#E0443E\" stroke-width=\".5\"><\/circle><circle cx=\"26\" cy=\"6\" r=\"6\" fill=\"#FFBD2E\" stroke=\"#DEA123\" stroke-width=\".5\"><\/circle><circle cx=\"46\" cy=\"6\" r=\"6\" fill=\"#27C93F\" stroke=\"#1AAB29\" stroke-width=\".5\"><\/circle><\/g><\/svg><\/span><span role=\"button\" tabindex=\"0\" data-code=\"large_int = 12345678901234567890\nprint(large_int * large_int)  # Large integer multiplication\n\n#output\n152415787532388367501905199875019052100\n\" style=\"color:#F8F8F2;display:none\" aria-label=\"Copy\" class=\"code-block-pro-copy-button\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" style=\"width:24px;height:24px\" fill=\"none\" viewBox=\"0 0 24 24\" stroke=\"currentColor\" stroke-width=\"2\"><path class=\"with-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2m-6 9l2 2 4-4\"><\/path><path class=\"without-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2\"><\/path><\/svg><\/span><pre class=\"shiki dracula\" style=\"background-color: #282A36\" tabindex=\"0\"><code><span class=\"line\"><span style=\"color: #F8F8F2\">large_int <\/span><span style=\"color: #FF79C6\">=<\/span><span style=\"color: #F8F8F2\"> <\/span><span style=\"color: #BD93F9\">12345678901234567890<\/span><\/span>\n<span class=\"line\"><span style=\"color: #50FA7B\">print<\/span><span style=\"color: #F8F8F2\">(large_int <\/span><span style=\"color: #FF79C6\">*<\/span><span style=\"color: #F8F8F2\"> large_int)  # Large integer multiplication<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #F8F8F2\">#output<\/span><\/span>\n<span class=\"line\"><span style=\"color: #BD93F9\">152415787532388367501905199875019052100<\/span><\/span>\n<span class=\"line\"><\/span><\/code><\/pre><\/div><h4 class=\"wp-block-heading\">Scientific Notation for Floats<\/h4><p>Use scientific notation for very large or small numbers.<\/p><div class=\"wp-block-kevinbatdorf-code-block-pro\" data-code-block-pro-font-family=\"Code-Pro-JetBrains-Mono\" style=\"font-size:clamp(18px, 1.125rem, 27px);font-family:Code-Pro-JetBrains-Mono,ui-monospace,SFMono-Regular,Menlo,Monaco,Consolas,monospace;line-height:clamp(26px, 1.625rem, 39px);--cbp-tab-width:2;tab-size:var(--cbp-tab-width, 2)\"><span style=\"display:block;padding:16px 0 0 16px;margin-bottom:-1px;width:100%;text-align:left;background-color:#282A36\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"54\" height=\"14\" viewBox=\"0 0 54 14\"><g fill=\"none\" fill-rule=\"evenodd\" transform=\"translate(1 1)\"><circle cx=\"6\" cy=\"6\" r=\"6\" fill=\"#FF5F56\" stroke=\"#E0443E\" stroke-width=\".5\"><\/circle><circle cx=\"26\" cy=\"6\" r=\"6\" fill=\"#FFBD2E\" stroke=\"#DEA123\" stroke-width=\".5\"><\/circle><circle cx=\"46\" cy=\"6\" r=\"6\" fill=\"#27C93F\" stroke=\"#1AAB29\" stroke-width=\".5\"><\/circle><\/g><\/svg><\/span><span role=\"button\" tabindex=\"0\" data-code=\"small_float = 1.23e-10\nprint(small_float)  # 1.23e-10 (Scientific notation)\" style=\"color:#F8F8F2;display:none\" aria-label=\"Copy\" class=\"code-block-pro-copy-button\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" style=\"width:24px;height:24px\" fill=\"none\" viewBox=\"0 0 24 24\" stroke=\"currentColor\" stroke-width=\"2\"><path class=\"with-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2m-6 9l2 2 4-4\"><\/path><path class=\"without-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2\"><\/path><\/svg><\/span><pre class=\"shiki dracula\" style=\"background-color: #282A36\" tabindex=\"0\"><code><span class=\"line\"><span style=\"color: #F8F8F2\">small_float <\/span><span style=\"color: #FF79C6\">=<\/span><span style=\"color: #F8F8F2\"> <\/span><span style=\"color: #BD93F9\">1.23e-10<\/span><\/span>\n<span class=\"line\"><span style=\"color: #50FA7B\">print<\/span><span style=\"color: #F8F8F2\">(small_float)  # <\/span><span style=\"color: #BD93F9\">1.23e-10<\/span><span style=\"color: #F8F8F2\"> (Scientific notation)<\/span><\/span><\/code><\/pre><\/div><h4 class=\"wp-block-heading\">Using the <code>decimal<\/code> Module<\/h4><p>The <code>decimal<\/code> module provides precise decimal arithmetic.<\/p><ul class=\"wp-block-list\"><li><strong>Definition and Characteristics:<\/strong><\/li><\/ul><div class=\"wp-block-kevinbatdorf-code-block-pro\" data-code-block-pro-font-family=\"Code-Pro-JetBrains-Mono\" style=\"font-size:clamp(18px, 1.125rem, 27px);font-family:Code-Pro-JetBrains-Mono,ui-monospace,SFMono-Regular,Menlo,Monaco,Consolas,monospace;line-height:clamp(26px, 1.625rem, 39px);--cbp-tab-width:2;tab-size:var(--cbp-tab-width, 2)\"><span style=\"display:block;padding:16px 0 0 16px;margin-bottom:-1px;width:100%;text-align:left;background-color:#282A36\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"54\" height=\"14\" viewBox=\"0 0 54 14\"><g fill=\"none\" fill-rule=\"evenodd\" transform=\"translate(1 1)\"><circle cx=\"6\" cy=\"6\" r=\"6\" fill=\"#FF5F56\" stroke=\"#E0443E\" stroke-width=\".5\"><\/circle><circle cx=\"26\" cy=\"6\" r=\"6\" fill=\"#FFBD2E\" stroke=\"#DEA123\" stroke-width=\".5\"><\/circle><circle cx=\"46\" cy=\"6\" r=\"6\" fill=\"#27C93F\" stroke=\"#1AAB29\" stroke-width=\".5\"><\/circle><\/g><\/svg><\/span><span role=\"button\" tabindex=\"0\" data-code=\"from decimal import Decimal\nd = Decimal('3.14159')\nprint(d)  # 3.14159 (Decimal object)\" style=\"color:#F8F8F2;display:none\" aria-label=\"Copy\" class=\"code-block-pro-copy-button\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" style=\"width:24px;height:24px\" fill=\"none\" viewBox=\"0 0 24 24\" stroke=\"currentColor\" stroke-width=\"2\"><path class=\"with-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2m-6 9l2 2 4-4\"><\/path><path class=\"without-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2\"><\/path><\/svg><\/span><pre class=\"shiki dracula\" style=\"background-color: #282A36\" tabindex=\"0\"><code><span class=\"line\"><span style=\"color: #F8F8F2\">from decimal <\/span><span style=\"color: #FF79C6\">import<\/span><span style=\"color: #F8F8F2\"> Decimal<\/span><\/span>\n<span class=\"line\"><span style=\"color: #F8F8F2\">d = Decimal(<\/span><span style=\"color: #E9F284\">&#39;<\/span><span style=\"color: #F1FA8C\">3.14159<\/span><span style=\"color: #E9F284\">&#39;<\/span><span style=\"color: #F8F8F2\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #F8F8F2\">print(d)  # 3.14159 (Decimal object)<\/span><\/span><\/code><\/pre><\/div><ul class=\"wp-block-list\"><li><strong>Basic Operations:<\/strong><\/li><\/ul><div class=\"wp-block-kevinbatdorf-code-block-pro\" data-code-block-pro-font-family=\"Code-Pro-JetBrains-Mono\" style=\"font-size:clamp(18px, 1.125rem, 27px);font-family:Code-Pro-JetBrains-Mono,ui-monospace,SFMono-Regular,Menlo,Monaco,Consolas,monospace;line-height:clamp(26px, 1.625rem, 39px);--cbp-tab-width:2;tab-size:var(--cbp-tab-width, 2)\"><span style=\"display:block;padding:16px 0 0 16px;margin-bottom:-1px;width:100%;text-align:left;background-color:#282A36\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"54\" height=\"14\" viewBox=\"0 0 54 14\"><g fill=\"none\" fill-rule=\"evenodd\" transform=\"translate(1 1)\"><circle cx=\"6\" cy=\"6\" r=\"6\" fill=\"#FF5F56\" stroke=\"#E0443E\" stroke-width=\".5\"><\/circle><circle cx=\"26\" cy=\"6\" r=\"6\" fill=\"#FFBD2E\" stroke=\"#DEA123\" stroke-width=\".5\"><\/circle><circle cx=\"46\" cy=\"6\" r=\"6\" fill=\"#27C93F\" stroke=\"#1AAB29\" stroke-width=\".5\"><\/circle><\/g><\/svg><\/span><span role=\"button\" tabindex=\"0\" data-code=\"d1 = Decimal('1.1')\nd2 = Decimal('2.2')\nprint(d1 + d2)  # 3.3 (Precise addition)\" style=\"color:#F8F8F2;display:none\" aria-label=\"Copy\" class=\"code-block-pro-copy-button\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" style=\"width:24px;height:24px\" fill=\"none\" viewBox=\"0 0 24 24\" stroke=\"currentColor\" stroke-width=\"2\"><path class=\"with-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2m-6 9l2 2 4-4\"><\/path><path class=\"without-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2\"><\/path><\/svg><\/span><pre class=\"shiki dracula\" style=\"background-color: #282A36\" tabindex=\"0\"><code><span class=\"line\"><span style=\"color: #F8F8F2\">d1 <\/span><span style=\"color: #FF79C6\">=<\/span><span style=\"color: #F8F8F2\"> <\/span><span style=\"color: #50FA7B\">Decimal<\/span><span style=\"color: #F8F8F2\">(<\/span><span style=\"color: #E9F284\">&#39;<\/span><span style=\"color: #F1FA8C\">1.1<\/span><span style=\"color: #E9F284\">&#39;<\/span><span style=\"color: #F8F8F2\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #F8F8F2\">d2 <\/span><span style=\"color: #FF79C6\">=<\/span><span style=\"color: #F8F8F2\"> <\/span><span style=\"color: #50FA7B\">Decimal<\/span><span style=\"color: #F8F8F2\">(<\/span><span style=\"color: #E9F284\">&#39;<\/span><span style=\"color: #F1FA8C\">2.2<\/span><span style=\"color: #E9F284\">&#39;<\/span><span style=\"color: #F8F8F2\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #50FA7B\">print<\/span><span style=\"color: #F8F8F2\">(d1 <\/span><span style=\"color: #FF79C6\">+<\/span><span style=\"color: #F8F8F2\"> d2)  # <\/span><span style=\"color: #BD93F9\">3.3<\/span><span style=\"color: #F8F8F2\"> (Precise addition)<\/span><\/span><\/code><\/pre><\/div><ul class=\"wp-block-list\"><li><strong>Controlling Precision:<\/strong><\/li><\/ul><div class=\"wp-block-kevinbatdorf-code-block-pro\" data-code-block-pro-font-family=\"Code-Pro-JetBrains-Mono\" style=\"font-size:clamp(18px, 1.125rem, 27px);font-family:Code-Pro-JetBrains-Mono,ui-monospace,SFMono-Regular,Menlo,Monaco,Consolas,monospace;line-height:clamp(26px, 1.625rem, 39px);--cbp-tab-width:2;tab-size:var(--cbp-tab-width, 2)\"><span style=\"display:block;padding:16px 0 0 16px;margin-bottom:-1px;width:100%;text-align:left;background-color:#282A36\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"54\" height=\"14\" viewBox=\"0 0 54 14\"><g fill=\"none\" fill-rule=\"evenodd\" transform=\"translate(1 1)\"><circle cx=\"6\" cy=\"6\" r=\"6\" fill=\"#FF5F56\" stroke=\"#E0443E\" stroke-width=\".5\"><\/circle><circle cx=\"26\" cy=\"6\" r=\"6\" fill=\"#FFBD2E\" stroke=\"#DEA123\" stroke-width=\".5\"><\/circle><circle cx=\"46\" cy=\"6\" r=\"6\" fill=\"#27C93F\" stroke=\"#1AAB29\" stroke-width=\".5\"><\/circle><\/g><\/svg><\/span><span role=\"button\" tabindex=\"0\" data-code=\"from decimal import getcontext\ngetcontext().prec = 5\nprint(Decimal(1) \/ Decimal(7))  # 0.14286 (Controlled precision)\" style=\"color:#F8F8F2;display:none\" aria-label=\"Copy\" class=\"code-block-pro-copy-button\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" style=\"width:24px;height:24px\" fill=\"none\" viewBox=\"0 0 24 24\" stroke=\"currentColor\" stroke-width=\"2\"><path class=\"with-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2m-6 9l2 2 4-4\"><\/path><path class=\"without-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2\"><\/path><\/svg><\/span><pre class=\"shiki dracula\" style=\"background-color: #282A36\" tabindex=\"0\"><code><span class=\"line\"><span style=\"color: #F8F8F2\">from decimal <\/span><span style=\"color: #FF79C6\">import<\/span><span style=\"color: #F8F8F2\"> getcontext<\/span><\/span>\n<span class=\"line\"><span style=\"color: #F8F8F2\">getcontext().prec = 5<\/span><\/span>\n<span class=\"line\"><span style=\"color: #F8F8F2\">print(Decimal(1) \/ Decimal(7))  # 0.14286 (Controlled precision)<\/span><\/span><\/code><\/pre><\/div><ul class=\"wp-block-list\"><li><strong>Comparison with <code>float<\/code>:<\/strong><\/li><\/ul><div class=\"wp-block-kevinbatdorf-code-block-pro\" data-code-block-pro-font-family=\"Code-Pro-JetBrains-Mono\" style=\"font-size:clamp(18px, 1.125rem, 27px);font-family:Code-Pro-JetBrains-Mono,ui-monospace,SFMono-Regular,Menlo,Monaco,Consolas,monospace;line-height:clamp(26px, 1.625rem, 39px);--cbp-tab-width:2;tab-size:var(--cbp-tab-width, 2)\"><span style=\"display:block;padding:16px 0 0 16px;margin-bottom:-1px;width:100%;text-align:left;background-color:#282A36\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"54\" height=\"14\" viewBox=\"0 0 54 14\"><g fill=\"none\" fill-rule=\"evenodd\" transform=\"translate(1 1)\"><circle cx=\"6\" cy=\"6\" r=\"6\" fill=\"#FF5F56\" stroke=\"#E0443E\" stroke-width=\".5\"><\/circle><circle cx=\"26\" cy=\"6\" r=\"6\" fill=\"#FFBD2E\" stroke=\"#DEA123\" stroke-width=\".5\"><\/circle><circle cx=\"46\" cy=\"6\" r=\"6\" fill=\"#27C93F\" stroke=\"#1AAB29\" stroke-width=\".5\"><\/circle><\/g><\/svg><\/span><span role=\"button\" tabindex=\"0\" data-code=\"print(Decimal('1.1') + Decimal('2.2'))  # 3.3 (Precise addition)\nprint(1.1 + 2.2)                        # 3.3000000000000003 (Floating-point addition)\" style=\"color:#F8F8F2;display:none\" aria-label=\"Copy\" class=\"code-block-pro-copy-button\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" style=\"width:24px;height:24px\" fill=\"none\" viewBox=\"0 0 24 24\" stroke=\"currentColor\" stroke-width=\"2\"><path class=\"with-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2m-6 9l2 2 4-4\"><\/path><path class=\"without-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2\"><\/path><\/svg><\/span><pre class=\"shiki dracula\" style=\"background-color: #282A36\" tabindex=\"0\"><code><span class=\"line\"><span style=\"color: #50FA7B\">print<\/span><span style=\"color: #F8F8F2\">(<\/span><span style=\"color: #50FA7B\">Decimal<\/span><span style=\"color: #F8F8F2\">(<\/span><span style=\"color: #E9F284\">&#39;<\/span><span style=\"color: #F1FA8C\">1.1<\/span><span style=\"color: #E9F284\">&#39;<\/span><span style=\"color: #F8F8F2\">) <\/span><span style=\"color: #FF79C6\">+<\/span><span style=\"color: #F8F8F2\"> <\/span><span style=\"color: #50FA7B\">Decimal<\/span><span style=\"color: #F8F8F2\">(<\/span><span style=\"color: #E9F284\">&#39;<\/span><span style=\"color: #F1FA8C\">2.2<\/span><span style=\"color: #E9F284\">&#39;<\/span><span style=\"color: #F8F8F2\">))  # <\/span><span style=\"color: #BD93F9\">3.3<\/span><span style=\"color: #F8F8F2\"> (Precise addition)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #50FA7B\">print<\/span><span style=\"color: #F8F8F2\">(<\/span><span style=\"color: #BD93F9\">1.1<\/span><span style=\"color: #F8F8F2\"> <\/span><span style=\"color: #FF79C6\">+<\/span><span style=\"color: #F8F8F2\"> <\/span><span style=\"color: #BD93F9\">2.2<\/span><span style=\"color: #F8F8F2\">)                        # <\/span><span style=\"color: #BD93F9\">3.3000000000000003<\/span><span style=\"color: #F8F8F2\"> (Floating<\/span><span style=\"color: #FF79C6\">-<\/span><span style=\"color: #F8F8F2\">point addition)<\/span><\/span><\/code><\/pre><\/div><div class=\"wp-block-boldblocks-icon-separator\" role=\"separator\"><div class=\"wp-block-boldblocks-icon-separator__inner icon-center is-align-center\" style=\"--bb-border:1px solid;--bb--icon-width:1em;--bb--icon-spacing:.5em\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 512 512\">\n  <path d=\"M256 464c114.87 0 208-93.13 208-208S370.87 48 256 48 48 141.13 48 256s93.13 208 208 208m-80.09-224L240 303.58V154h32v149.58L336.09 240l22.54 22.71L256 364.54 153.37 262.7Z\"><\/path>\n<\/svg><\/div><\/div><h1 class=\"wp-block-heading has-vivid-green-cyan-color has-text-color has-link-color wp-elements-c44b9c6a7328978ed1449403d1480283\">8. Random Numbers<\/h1><h4 class=\"wp-block-heading\">Generating Random Numbers<\/h4><p>The <code>random<\/code> module allows you to generate random numbers.<\/p><ul class=\"wp-block-list\"><li><strong><code>random.randint()<\/code>, <code>random.random()<\/code>, <code>random.uniform()<\/code>:<\/strong><\/li><\/ul><div class=\"wp-block-kevinbatdorf-code-block-pro\" data-code-block-pro-font-family=\"Code-Pro-JetBrains-Mono\" style=\"font-size:clamp(18px, 1.125rem, 27px);font-family:Code-Pro-JetBrains-Mono,ui-monospace,SFMono-Regular,Menlo,Monaco,Consolas,monospace;line-height:clamp(26px, 1.625rem, 39px);--cbp-tab-width:2;tab-size:var(--cbp-tab-width, 2)\"><span style=\"display:block;padding:16px 0 0 16px;margin-bottom:-1px;width:100%;text-align:left;background-color:#282A36\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"54\" height=\"14\" viewBox=\"0 0 54 14\"><g fill=\"none\" fill-rule=\"evenodd\" transform=\"translate(1 1)\"><circle cx=\"6\" cy=\"6\" r=\"6\" fill=\"#FF5F56\" stroke=\"#E0443E\" stroke-width=\".5\"><\/circle><circle cx=\"26\" cy=\"6\" r=\"6\" fill=\"#FFBD2E\" stroke=\"#DEA123\" stroke-width=\".5\"><\/circle><circle cx=\"46\" cy=\"6\" r=\"6\" fill=\"#27C93F\" stroke=\"#1AAB29\" stroke-width=\".5\"><\/circle><\/g><\/svg><\/span><span role=\"button\" tabindex=\"0\" data-code=\"import random\nprint(random.randint(1, 10))  # Random integer between 1 and 10\nprint(random.random())        # Random float between 0.0 and 1.0\nprint(random.uniform(1.0, 10.0))  # Random float between 1.0 and 10.0\" style=\"color:#F8F8F2;display:none\" aria-label=\"Copy\" class=\"code-block-pro-copy-button\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" style=\"width:24px;height:24px\" fill=\"none\" viewBox=\"0 0 24 24\" stroke=\"currentColor\" stroke-width=\"2\"><path class=\"with-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2m-6 9l2 2 4-4\"><\/path><path class=\"without-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2\"><\/path><\/svg><\/span><pre class=\"shiki dracula\" style=\"background-color: #282A36\" tabindex=\"0\"><code><span class=\"line\"><span style=\"color: #FF79C6\">import<\/span><span style=\"color: #F8F8F2\"> random<\/span><\/span>\n<span class=\"line\"><span style=\"color: #F8F8F2\">print(random.randint(1, 10))  # Random integer between 1 and 10<\/span><\/span>\n<span class=\"line\"><span style=\"color: #F8F8F2\">print(random.random())        # Random float between 0.0 and 1.0<\/span><\/span>\n<span class=\"line\"><span style=\"color: #F8F8F2\">print(random.uniform(1.0, 10.0))  # Random float between 1.0 and 10.0<\/span><\/span><\/code><\/pre><\/div><h4 class=\"wp-block-heading\">Seeding Random Number Generators<\/h4><p>Setting a seed ensures reproducibility.<\/p><div class=\"wp-block-kevinbatdorf-code-block-pro\" data-code-block-pro-font-family=\"Code-Pro-JetBrains-Mono\" style=\"font-size:clamp(18px, 1.125rem, 27px);font-family:Code-Pro-JetBrains-Mono,ui-monospace,SFMono-Regular,Menlo,Monaco,Consolas,monospace;line-height:clamp(26px, 1.625rem, 39px);--cbp-tab-width:2;tab-size:var(--cbp-tab-width, 2)\"><span style=\"display:block;padding:16px 0 0 16px;margin-bottom:-1px;width:100%;text-align:left;background-color:#282A36\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"54\" height=\"14\" viewBox=\"0 0 54 14\"><g fill=\"none\" fill-rule=\"evenodd\" transform=\"translate(1 1)\"><circle cx=\"6\" cy=\"6\" r=\"6\" fill=\"#FF5F56\" stroke=\"#E0443E\" stroke-width=\".5\"><\/circle><circle cx=\"26\" cy=\"6\" r=\"6\" fill=\"#FFBD2E\" stroke=\"#DEA123\" stroke-width=\".5\"><\/circle><circle cx=\"46\" cy=\"6\" r=\"6\" fill=\"#27C93F\" stroke=\"#1AAB29\" stroke-width=\".5\"><\/circle><\/g><\/svg><\/span><span role=\"button\" tabindex=\"0\" data-code=\"random.seed(42)\nprint(random.random())  # Same random number each time\" style=\"color:#F8F8F2;display:none\" aria-label=\"Copy\" class=\"code-block-pro-copy-button\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" style=\"width:24px;height:24px\" fill=\"none\" viewBox=\"0 0 24 24\" stroke=\"currentColor\" stroke-width=\"2\"><path class=\"with-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2m-6 9l2 2 4-4\"><\/path><path class=\"without-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2\"><\/path><\/svg><\/span><pre class=\"shiki dracula\" style=\"background-color: #282A36\" tabindex=\"0\"><code><span class=\"line\"><span style=\"color: #F8F8F2\">random.<\/span><span style=\"color: #50FA7B\">seed<\/span><span style=\"color: #F8F8F2\">(<\/span><span style=\"color: #BD93F9\">42<\/span><span style=\"color: #F8F8F2\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #50FA7B\">print<\/span><span style=\"color: #F8F8F2\">(random.<\/span><span style=\"color: #50FA7B\">random<\/span><span style=\"color: #F8F8F2\">())  # Same random number each time<\/span><\/span><\/code><\/pre><\/div><h4 class=\"wp-block-heading\">Generating Random Numbers with <code>numpy<\/code><\/h4><p>The <code>numpy<\/code> library provides additional random number generation functions.<\/p><div class=\"wp-block-kevinbatdorf-code-block-pro\" data-code-block-pro-font-family=\"Code-Pro-JetBrains-Mono\" style=\"font-size:clamp(18px, 1.125rem, 27px);font-family:Code-Pro-JetBrains-Mono,ui-monospace,SFMono-Regular,Menlo,Monaco,Consolas,monospace;line-height:clamp(26px, 1.625rem, 39px);--cbp-tab-width:2;tab-size:var(--cbp-tab-width, 2)\"><span style=\"display:block;padding:16px 0 0 16px;margin-bottom:-1px;width:100%;text-align:left;background-color:#282A36\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"54\" height=\"14\" viewBox=\"0 0 54 14\"><g fill=\"none\" fill-rule=\"evenodd\" transform=\"translate(1 1)\"><circle cx=\"6\" cy=\"6\" r=\"6\" fill=\"#FF5F56\" stroke=\"#E0443E\" stroke-width=\".5\"><\/circle><circle cx=\"26\" cy=\"6\" r=\"6\" fill=\"#FFBD2E\" stroke=\"#DEA123\" stroke-width=\".5\"><\/circle><circle cx=\"46\" cy=\"6\" r=\"6\" fill=\"#27C93F\" stroke=\"#1AAB29\" stroke-width=\".5\"><\/circle><\/g><\/svg><\/span><span role=\"button\" tabindex=\"0\" data-code=\"import numpy as np\nprint(np.random.rand(3))  # Array of 3 random floats\" style=\"color:#F8F8F2;display:none\" aria-label=\"Copy\" class=\"code-block-pro-copy-button\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" style=\"width:24px;height:24px\" fill=\"none\" viewBox=\"0 0 24 24\" stroke=\"currentColor\" stroke-width=\"2\"><path class=\"with-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2m-6 9l2 2 4-4\"><\/path><path class=\"without-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2\"><\/path><\/svg><\/span><pre class=\"shiki dracula\" style=\"background-color: #282A36\" tabindex=\"0\"><code><span class=\"line\"><span style=\"color: #FF79C6\">import<\/span><span style=\"color: #F8F8F2\"> <\/span><span style=\"color: #FFB86C; font-style: italic\">numpy<\/span><span style=\"color: #F8F8F2\"> <\/span><span style=\"color: #FF79C6\">as<\/span><span style=\"color: #F8F8F2\"> np<\/span><\/span>\n<span class=\"line\"><span style=\"color: #F8F8F2\">print(np.random.rand(3))  # Array of 3 random floats<\/span><\/span><\/code><\/pre><\/div><div class=\"wp-block-boldblocks-icon-separator\" role=\"separator\"><div class=\"wp-block-boldblocks-icon-separator__inner icon-center is-align-center\" style=\"--bb-border:1px solid;--bb--icon-width:1em;--bb--icon-spacing:.5em\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 512 512\">\n  <path d=\"M256 464c114.87 0 208-93.13 208-208S370.87 48 256 48 48 141.13 48 256s93.13 208 208 208m-80.09-224L240 303.58V154h32v149.58L336.09 240l22.54 22.71L256 364.54 153.37 262.7Z\"><\/path>\n<\/svg><\/div><\/div><h1 class=\"wp-block-heading has-vivid-green-cyan-color has-text-color has-link-color wp-elements-1e2301211015460792ad5579d7a0dacf\">9. Performance Considerations<\/h1><h4 class=\"wp-block-heading\">Efficiency of Integer Operations<\/h4><p>Integer operations are fast and efficient in Python.<\/p><h4 class=\"wp-block-heading\">Efficiency of Floating-point Operations<\/h4><p>Floating-point operations can be slower due to precision handling.<\/p><h4 class=\"wp-block-heading\">Optimizing Number Calculations<\/h4><p>Use appropriate data types and libraries (like <code>numpy<\/code>) for optimized performance.<\/p><div class=\"wp-block-boldblocks-icon-separator\" role=\"separator\"><div class=\"wp-block-boldblocks-icon-separator__inner icon-center is-align-center\" style=\"--bb-border:1px solid;--bb--icon-width:1em;--bb--icon-spacing:.5em\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 512 512\">\n  <path d=\"M256 464c114.87 0 208-93.13 208-208S370.87 48 256 48 48 141.13 48 256s93.13 208 208 208m-80.09-224L240 303.58V154h32v149.58L336.09 240l22.54 22.71L256 364.54 153.37 262.7Z\"><\/path>\n<\/svg><\/div><\/div><h1 class=\"wp-block-heading has-vivid-green-cyan-color has-text-color has-link-color wp-elements-f52756a9c5268401be9ef5b9c0ee8f2f\">10. Common Pitfalls and Best Practices<\/h1><h4 class=\"wp-block-heading\">Floating-point Arithmetic Issues<\/h4><p>Be aware of precision issues with floating-point numbers.<\/p><div class=\"wp-block-kevinbatdorf-code-block-pro\" data-code-block-pro-font-family=\"Code-Pro-JetBrains-Mono\" style=\"font-size:clamp(18px, 1.125rem, 27px);font-family:Code-Pro-JetBrains-Mono,ui-monospace,SFMono-Regular,Menlo,Monaco,Consolas,monospace;line-height:clamp(26px, 1.625rem, 39px);--cbp-tab-width:2;tab-size:var(--cbp-tab-width, 2)\"><span style=\"display:block;padding:16px 0 0 16px;margin-bottom:-1px;width:100%;text-align:left;background-color:#282A36\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"54\" height=\"14\" viewBox=\"0 0 54 14\"><g fill=\"none\" fill-rule=\"evenodd\" transform=\"translate(1 1)\"><circle cx=\"6\" cy=\"6\" r=\"6\" fill=\"#FF5F56\" stroke=\"#E0443E\" stroke-width=\".5\"><\/circle><circle cx=\"26\" cy=\"6\" r=\"6\" fill=\"#FFBD2E\" stroke=\"#DEA123\" stroke-width=\".5\"><\/circle><circle cx=\"46\" cy=\"6\" r=\"6\" fill=\"#27C93F\" stroke=\"#1AAB29\" stroke-width=\".5\"><\/circle><\/g><\/svg><\/span><span role=\"button\" tabindex=\"0\" data-code=\"print(0.1 + 0.2 == 0.3)  # False (Precision issue)\" style=\"color:#F8F8F2;display:none\" aria-label=\"Copy\" class=\"code-block-pro-copy-button\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" style=\"width:24px;height:24px\" fill=\"none\" viewBox=\"0 0 24 24\" stroke=\"currentColor\" stroke-width=\"2\"><path class=\"with-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2m-6 9l2 2 4-4\"><\/path><path class=\"without-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2\"><\/path><\/svg><\/span><pre class=\"shiki dracula\" style=\"background-color: #282A36\" tabindex=\"0\"><code><span class=\"line\"><span style=\"color: #50FA7B\">print<\/span><span style=\"color: #F8F8F2\">(<\/span><span style=\"color: #BD93F9\">0.1<\/span><span style=\"color: #F8F8F2\"> <\/span><span style=\"color: #FF79C6\">+<\/span><span style=\"color: #F8F8F2\"> <\/span><span style=\"color: #BD93F9\">0.2<\/span><span style=\"color: #F8F8F2\"> <\/span><span style=\"color: #FF79C6\">==<\/span><span style=\"color: #F8F8F2\"> <\/span><span style=\"color: #BD93F9\">0.3<\/span><span style=\"color: #F8F8F2\">)  # <\/span><span style=\"color: #50FA7B\">False<\/span><span style=\"color: #F8F8F2\"> (Precision issue)<\/span><\/span><\/code><\/pre><\/div><h4 class=\"wp-block-heading\">Avoiding Integer Overflow<\/h4><p>Python handles large integers automatically, but be mindful of performance.<\/p><h4 class=\"wp-block-heading\">Precision in Financial Calculations<\/h4><p>Use the <code>decimal<\/code> module for precise financial calculations.<\/p><div class=\"wp-block-kevinbatdorf-code-block-pro\" data-code-block-pro-font-family=\"Code-Pro-JetBrains-Mono\" style=\"font-size:clamp(18px, 1.125rem, 27px);font-family:Code-Pro-JetBrains-Mono,ui-monospace,SFMono-Regular,Menlo,Monaco,Consolas,monospace;line-height:clamp(26px, 1.625rem, 39px);--cbp-tab-width:2;tab-size:var(--cbp-tab-width, 2)\"><span style=\"display:block;padding:16px 0 0 16px;margin-bottom:-1px;width:100%;text-align:left;background-color:#282A36\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"54\" height=\"14\" viewBox=\"0 0 54 14\"><g fill=\"none\" fill-rule=\"evenodd\" transform=\"translate(1 1)\"><circle cx=\"6\" cy=\"6\" r=\"6\" fill=\"#FF5F56\" stroke=\"#E0443E\" stroke-width=\".5\"><\/circle><circle cx=\"26\" cy=\"6\" r=\"6\" fill=\"#FFBD2E\" stroke=\"#DEA123\" stroke-width=\".5\"><\/circle><circle cx=\"46\" cy=\"6\" r=\"6\" fill=\"#27C93F\" stroke=\"#1AAB29\" stroke-width=\".5\"><\/circle><\/g><\/svg><\/span><span role=\"button\" tabindex=\"0\" data-code=\"from decimal import Decimal\nprice = Decimal('19.99')\ntax = Decimal('0.07')\ntotal = price + price * tax\nprint(total)  # Correct calculation with precise decimal\n\n#output\n21.3893\n\" style=\"color:#F8F8F2;display:none\" aria-label=\"Copy\" class=\"code-block-pro-copy-button\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" style=\"width:24px;height:24px\" fill=\"none\" viewBox=\"0 0 24 24\" stroke=\"currentColor\" stroke-width=\"2\"><path class=\"with-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2m-6 9l2 2 4-4\"><\/path><path class=\"without-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2\"><\/path><\/svg><\/span><pre class=\"shiki dracula\" style=\"background-color: #282A36\" tabindex=\"0\"><code><span class=\"line\"><span style=\"color: #F8F8F2\">from decimal <\/span><span style=\"color: #FF79C6\">import<\/span><span style=\"color: #F8F8F2\"> Decimal<\/span><\/span>\n<span class=\"line\"><span style=\"color: #F8F8F2\">price = Decimal(<\/span><span style=\"color: #E9F284\">&#39;<\/span><span style=\"color: #F1FA8C\">19.99<\/span><span style=\"color: #E9F284\">&#39;<\/span><span style=\"color: #F8F8F2\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #F8F8F2\">tax = Decimal(<\/span><span style=\"color: #E9F284\">&#39;<\/span><span style=\"color: #F1FA8C\">0.07<\/span><span style=\"color: #E9F284\">&#39;<\/span><span style=\"color: #F8F8F2\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #F8F8F2\">total = price + price <\/span><span style=\"color: #BD93F9\">*<\/span><span style=\"color: #F8F8F2\"> tax<\/span><\/span>\n<span class=\"line\"><span style=\"color: #F8F8F2\">print(total)  # Correct calculation with precise decimal<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #F8F8F2\">#output<\/span><\/span>\n<span class=\"line\"><span style=\"color: #F8F8F2\">21.3893<\/span><\/span>\n<span class=\"line\"><\/span><\/code><\/pre><\/div><h4 class=\"wp-block-heading\">Best Practices for Choosing Number Types<\/h4><p>Choose <code>int<\/code> for whole numbers, <code>float<\/code> for general real numbers, and <code>decimal<\/code> for precision-critical calculations.<\/p><h3 class=\"wp-block-heading\">Conclusion<\/h3><p>Understanding Python numbers is essential for writing efficient and accurate code. From basic integer and float operations to handling large numbers and ensuring precision, this guide covers it all. Keep practicing and experimenting with these concepts in your projects. Happy coding!<\/p><p class=\"has-vivid-red-color has-text-color has-link-color wp-elements-b1328f87d84d956a68e686df75549643\"><strong>Leave a response to this article by providing your insights, comments, or requests for future articles.<\/strong><\/p><p class=\"has-vivid-red-color has-text-color has-link-color wp-elements-cef85d374a7330d12ea261c6c53bbb09\" id=\"f6ba\"><strong>Share the articles with your friends and colleagues on social media.<\/strong><\/p><p class=\"has-vivid-red-color has-text-color has-link-color wp-elements-8c76242b09eb6599f905df9d8473d038\" id=\"80f2\"><strong>Let\u2019s Get in Touch! 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