{"id":1433,"date":"2020-11-11T18:29:16","date_gmt":"2020-11-11T18:29:16","guid":{"rendered":"https:\/\/www.saralstudy.com\/blog\/?p=1433"},"modified":"2026-05-11T12:10:24","modified_gmt":"2026-05-11T06:40:24","slug":"bodmas-rule-definition-formula-examples","status":"publish","type":"post","link":"https:\/\/www.saralstudy.com\/blog\/bodmas-rule-definition-formula-examples\/","title":{"rendered":"BODMAS Rule &#8211; Definition, Formula, Examples"},"content":{"rendered":"<p><span style=\"font-weight: 400;\">The students start to learn mathematics problem solving with simple one operations like subtraction\/ multiplication\/ addition\/ division. These single operations are very simple to do but what about problems containing more than one operation like addition, subtraction, multiplication, division in the same problem? This is where the BODMAS Rule plays a vital role in solving these types of problems with 100% accuracy.<\/span><\/p>\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_84 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 eztoc-toggle-hide-by-default' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/www.saralstudy.com\/blog\/bodmas-rule-definition-formula-examples\/#What_is_the_BODMAS_Rule\" >What is the BODMAS Rule?<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.saralstudy.com\/blog\/bodmas-rule-definition-formula-examples\/#Order_of_operations_of_BODMAS_Rule\" >Order of operations of BODMAS Rule<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.saralstudy.com\/blog\/bodmas-rule-definition-formula-examples\/#BODMAS_FULL_FORM\" >BODMAS FULL FORM<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.saralstudy.com\/blog\/bodmas-rule-definition-formula-examples\/#Explanation\" >Explanation:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/www.saralstudy.com\/blog\/bodmas-rule-definition-formula-examples\/#History_and_Importance_of_BODMAS_Rule\" >History and Importance of BODMAS Rule<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/www.saralstudy.com\/blog\/bodmas-rule-definition-formula-examples\/#Order_of_operation_according_to_BODMAS_Rule\" >Order of operation according to BODMAS Rule<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/www.saralstudy.com\/blog\/bodmas-rule-definition-formula-examples\/#Examples_of_BODMAS_Rule\" >Examples of BODMAS Rule<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/www.saralstudy.com\/blog\/bodmas-rule-definition-formula-examples\/#Frequently_Asked_Questions\" >Frequently Asked Questions<\/a><ul class='ez-toc-list-level-4' ><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/www.saralstudy.com\/blog\/bodmas-rule-definition-formula-examples\/#Q1_What_is_the_need_of_the_BODMAS_Rule\" >Q1. What is the need of the BODMAS Rule?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/www.saralstudy.com\/blog\/bodmas-rule-definition-formula-examples\/#Q2_Please_give_an_example_of_the_BODMAS_Rule\" >Q2. Please give an example of the BODMAS Rule.<\/a><\/li><\/ul><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"What_is_the_BODMAS_Rule\"><\/span><span style=\"font-weight: 400;\">What is the BODMAS Rule?<\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><span style=\"font-weight: 400;\">The BODMAS rule is a trick to solve primary school mathematical questions which stands for<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>B &#8211; <\/b><span style=\"font-weight: 400;\">Bracket<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>O &#8211; <\/b><span style=\"font-weight: 400;\">Orders (i.e., powers and square roots, etc.)<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>D &#8211; <\/b><span style=\"font-weight: 400;\">Division<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>M &#8211; <\/b><span style=\"font-weight: 400;\">Multiplication<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>A &#8211; <\/b><span style=\"font-weight: 400;\">Addition<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>S &#8211;<\/b><span style=\"font-weight: 400;\"> Subtraction<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">BODMAS helps students remember the order of operations to follow when solving a mathematical expression. In some regions, it&#8217;s referred to as BIDMAS (where &#8216;I&#8217; stands for Indices) or PEMDAS in the USA (where &#8216;P&#8217; stands for Parentheses and &#8216;E&#8217; for Exponents)..<\/span><\/p>\n<p><span style=\"font-weight: 400;\">In some places like the USA, it is also known as <\/span><b>PEMDAS<\/b><\/p>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>P &#8211;<\/b><span style=\"font-weight: 400;\"> Parentheses<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>E &#8211;<\/b><span style=\"font-weight: 400;\"> Exponents<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>M &#8211;<\/b><span style=\"font-weight: 400;\"> Multiplication<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>D &#8211;<\/b><span style=\"font-weight: 400;\"> Division<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>A &#8211; <\/b><span style=\"font-weight: 400;\">Addition<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>S &#8211;<\/b><span style=\"font-weight: 400;\"> Subtraction.<\/span><\/li>\n<\/ul>\n<h3><span class=\"ez-toc-section\" id=\"Order_of_operations_of_BODMAS_Rule\"><\/span><span style=\"font-weight: 400;\">Order of operations of BODMAS Rule<\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-7172 size-full\" src=\"https:\/\/www.saralstudy.com\/blog\/wp-content\/uploads\/2020\/11\/BODMAS.jpg\" alt=\"BODMAS\" width=\"1200\" height=\"675\" title=\"\" srcset=\"https:\/\/www.saralstudy.com\/blog\/wp-content\/uploads\/2020\/11\/BODMAS.jpg 1200w, https:\/\/www.saralstudy.com\/blog\/wp-content\/uploads\/2020\/11\/BODMAS-300x169.jpg 300w, https:\/\/www.saralstudy.com\/blog\/wp-content\/uploads\/2020\/11\/BODMAS-1024x576.jpg 1024w, https:\/\/www.saralstudy.com\/blog\/wp-content\/uploads\/2020\/11\/BODMAS-768x432.jpg 768w\" sizes=\"auto, (max-width: 1200px) 100vw, 1200px\" \/><\/p>\n<p><span style=\"font-weight: 400;\">Mathematics relies on a universal set of rules to determine the sequence of operations. The <a href=\"https:\/\/thirdspacelearning.com\/blog\/what-is-bodmas\/?utm_source=saaszeal&amp;utm_medium=referral\" target=\"_blank\" rel=\"nofollow noopener\">BODMAS rule<\/a> establishes this order:<\/span><\/p>\n<ol>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>Brackets: <\/b><span style=\"font-weight: 400;\">Solve expressions inside brackets first.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>Orders: <\/b><span style=\"font-weight: 400;\">Solve exponents (orders and indices) next.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>Division: <\/b><span style=\"font-weight: 400;\">Solve division then<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>Multiplication: <\/b><span style=\"font-weight: 400;\">Solve multiplication, and then\u00a0<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>Addition and Subtraction: <\/b><span style=\"font-weight: 400;\">Finally, solve the addition followed by subtraction.<\/span><\/li>\n<\/ol>\n<p><span style=\"font-weight: 400;\">Understanding and applying BODMAS ensures that complex mathematical expressions are solved correctly and consistently.<\/span><\/p>\n<h3><span class=\"ez-toc-section\" id=\"BODMAS_FULL_FORM\"><\/span>BODMAS FULL FORM<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>BODMAS stands for <strong>Brackets, Orders, Division, Multiplication, Addition, and Subtraction<\/strong>. It is a mathematical acronym that represents the order in which arithmetic operations should be performed to solve an expression.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Explanation\"><\/span>Explanation:<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ol>\n<li><strong>B<\/strong>rackets: Solve anything inside brackets first.<\/li>\n<li><strong>O<\/strong>rders: Handle powers and roots (such as squares, cubes, and square roots).<\/li>\n<li><strong>D<\/strong>ivision and <strong>M<\/strong>ultiplication: Perform from left to right.<\/li>\n<li><strong>A<\/strong>ddition and <strong>S<\/strong>ubtraction: Finally, perform addition and subtraction from left to right.<\/li>\n<\/ol>\n<p>Using BODMAS helps avoid confusion and ensures accurate calculation of complex mathematical expressions.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"History_and_Importance_of_BODMAS_Rule\"><\/span><span style=\"font-weight: 400;\">History and Importance of BODMAS Rule<\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><span style=\"font-weight: 400;\">The precedence rules in mathematics have evolved over centuries. Multiplication and division were given higher precedence than addition and subtraction since the introduction of modern algebra. Exponents were introduced in the <a href=\"https:\/\/www.britannica.com\/science\/mathematics\/Mathematics-in-the-17th-and-18th-centuries\" target=\"_blank\" rel=\"noopener\">16th and 17th centuries<\/a>, adding another layer to the order of operations. BODMAS was established to provide a clear framework for solving expressions with multiple operations.<\/span><\/p>\n<h3><span class=\"ez-toc-section\" id=\"Order_of_operation_according_to_BODMAS_Rule\"><\/span><span style=\"font-weight: 400;\">Order of operation according to BODMAS Rule<\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><span style=\"font-weight: 400;\"><div class=\"wptb-container-legacy\" data-table-id=\"1434\">\n    <table class=\"wptb-preview-table wptb-element-main-table_setting-startedid-0\" data-reconstraction=\"1\" style=\"border-width: 0px; border-style: solid; border-image: initial;\" data-wptb-table-tds-sum-max-width=\"696\" data-wptb-cells-width-auto-count=\"6\" role=\"table\" data-table-columns=\"6\"><tbody><tr class=\"wptb-row\"><td class=\"wptb-cell\" data-y-index=\"0\" data-x-index=\"0\" style=\"border-width: 1px; padding: 8px;\" data-wptb-css-td-auto-width=\"true\"><div class=\"wptb-text-container wptb-ph-element wptb-element-text-1\"><div class=\"\" style=\"position: relative;\"><p style=\"text-align: center;\"><strong>B<\/strong><\/p><\/div><\/div><\/td><td class=\"wptb-cell\" data-y-index=\"0\" data-x-index=\"1\" style=\"border-width: 1px; padding: 8px;\" data-wptb-css-td-auto-width=\"true\"><div class=\"wptb-text-container wptb-ph-element wptb-element-text-2\"><div class=\"\" style=\"position: relative;\"><p style=\"text-align: center;\"><strong>O<\/strong><\/p><\/div><\/div><\/td><td class=\"wptb-cell\" data-y-index=\"0\" data-x-index=\"2\" style=\"border-width: 1px; padding: 8px;\" data-wptb-css-td-auto-width=\"true\"><div class=\"wptb-text-container wptb-ph-element wptb-element-text-3\"><div class=\"\" style=\"position: relative;\"><p style=\"text-align: center;\"><strong>D<\/strong><\/p><\/div><\/div><\/td><td class=\"wptb-cell\" data-y-index=\"0\" data-x-index=\"3\" style=\"border-width: 1px; padding: 8px;\" data-wptb-css-td-auto-width=\"true\"><div class=\"wptb-text-container wptb-ph-element wptb-element-text-4\"><div class=\"\" style=\"position: relative;\"><p style=\"text-align: center;\"><strong>M<\/strong><\/p><\/div><\/div><\/td><td class=\"wptb-cell\" data-y-index=\"0\" data-x-index=\"4\" style=\"border-width: 1px; padding: 8px;\" data-wptb-css-td-auto-width=\"true\"><div class=\"wptb-text-container wptb-ph-element wptb-element-text-5\"><div class=\"\" style=\"position: relative;\"><p style=\"text-align: center;\"><strong>A<\/strong><\/p><\/div><\/div><\/td><td class=\"wptb-cell\" data-y-index=\"0\" data-x-index=\"5\" style=\"border-width: 1px; padding: 8px;\" data-wptb-css-td-auto-width=\"true\"><div class=\"wptb-text-container wptb-ph-element wptb-element-text-6\"><div class=\"\" style=\"position: relative;\"><p style=\"text-align: center;\"><strong>S<\/strong><\/p><\/div><\/div><\/td><\/tr><tr class=\"wptb-row\"><td class=\"wptb-cell\" data-y-index=\"1\" data-x-index=\"0\" style=\"border-width: 1px; padding: 8px;\" data-wptb-css-td-auto-width=\"true\"><div class=\"wptb-text-container wptb-ph-element wptb-element-text-7\"><div class=\"\" style=\"position: relative;\"><p style=\"text-align: center;\">Bracket ()<\/p><\/div><\/div><\/td><td class=\"wptb-cell\" data-y-index=\"1\" data-x-index=\"1\" style=\"border-width: 1px; padding: 8px;\" data-wptb-css-td-auto-width=\"true\"><div class=\"wptb-text-container wptb-ph-element wptb-element-text-8\"><div class=\"\" style=\"position: relative;\"><p style=\"text-align: center;\">Order \u221a<\/p><\/div><\/div><\/td><td class=\"wptb-cell\" data-y-index=\"1\" data-x-index=\"2\" style=\"border-width: 1px; padding: 8px;\" data-wptb-css-td-auto-width=\"true\"><div class=\"wptb-text-container wptb-ph-element wptb-element-text-9\"><div class=\"\" style=\"position: relative;\"><p style=\"text-align: center;\">Division \u00f7<\/p><\/div><\/div><\/td><td class=\"wptb-cell\" data-y-index=\"1\" data-x-index=\"3\" style=\"border-width: 1px; padding: 8px;\" data-wptb-css-td-auto-width=\"true\"><div class=\"wptb-text-container wptb-ph-element wptb-element-text-10\"><div class=\"\" style=\"position: relative;\"><p style=\"text-align: center;\">Multiplication x<\/p><\/div><\/div><\/td><td class=\"wptb-cell\" data-y-index=\"1\" data-x-index=\"4\" style=\"border-width: 1px; padding: 8px;\" data-wptb-css-td-auto-width=\"true\"><div class=\"wptb-text-container wptb-ph-element wptb-element-text-11\"><div class=\"\" style=\"position: relative;\"><p style=\"text-align: center;\">Addition +<\/p><\/div><\/div><\/td><td class=\"wptb-cell\" data-y-index=\"1\" data-x-index=\"5\" style=\"border-width: 1px; padding: 8px;\" data-wptb-css-td-auto-width=\"true\"><div class=\"wptb-text-container wptb-ph-element wptb-element-text-12\"><div class=\"\" style=\"position: relative;\"><p style=\"text-align: center;\">Subtraction -<\/p><\/div><\/div><\/td><\/tr><\/tbody><\/table>\n<\/div>\n<\/span><\/p>\n<h3><span class=\"ez-toc-section\" id=\"Examples_of_BODMAS_Rule\"><\/span><span style=\"font-weight: 400;\">Examples of BODMAS Rule<\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<h5><strong>Example 1: 4 + 2 x 8 =?<\/strong><\/h5>\n<p><span style=\"font-weight: 400;\">Solution: According to the BODMAS Rule, Multiplication needs to be done before addition.<\/span><span style=\"font-weight: 400;\"><br \/>\n<\/span><span style=\"font-weight: 400;\">So,<\/span><span style=\"font-weight: 400;\"><br \/>\n<\/span><span style=\"font-weight: 400;\">Step 1: 2 x 8 = 16<\/span><span style=\"font-weight: 400;\"><br \/>\n<\/span><span style=\"font-weight: 400;\">Step 2: 4 + 16 = 20<\/span><\/p>\n<p><b>The correct answer is 20<\/b><span style=\"font-weight: 400;\">.<\/span><span style=\"font-weight: 400;\"><br \/>\n<\/span><span style=\"font-weight: 400;\">(Common mistake that students make: 4 + 2 = 6, 6 x 8 = 48)<\/span><\/p>\n<h5><strong>Example 2: 6 \u2013 3 + 8 \u00f7 2 =?<\/strong><\/h5>\n<p><span style=\"font-weight: 400;\">Solution: Applying BODMAS Rule,<\/span><span style=\"font-weight: 400;\"><br \/>\n<\/span><span style=\"font-weight: 400;\">Step 1: 8 \u00f7 2 = 4<\/span><span style=\"font-weight: 400;\"><br \/>\n<\/span><span style=\"font-weight: 400;\">Step 2: Mow, We have 6 \u2013 3 + 4<\/span><span style=\"font-weight: 400;\"><br \/>\n<\/span><span style=\"font-weight: 400;\">So, 6 \u2013 3 = 3<\/span><span style=\"font-weight: 400;\"><br \/>\n<\/span><span style=\"font-weight: 400;\">Step 3: + 4 = 7<\/span><\/p>\n<p><span style=\"font-weight: 400;\">7 is the correct answer<\/span><span style=\"font-weight: 400;\"><br \/>\n<\/span><span style=\"font-weight: 400;\">(Common errors: 6 \u2013 3 = 3, 3 + 8 = 11, 11 \u00f7 2 = 5.5)<\/span><\/p>\n<h5><strong>Example 3: 4 x (5 + 6) + 5 2 =?<\/strong><\/h5>\n<p><span style=\"font-weight: 400;\">Solution: Apply BODMAS Rule,<\/span><span style=\"font-weight: 400;\"><br \/>\n<\/span><span style=\"font-weight: 400;\">Step 1: (5 + 6) = 11<\/span><span style=\"font-weight: 400;\"><br \/>\n<\/span><span style=\"font-weight: 400;\">Step 2: 5 2 = 25<\/span><span style=\"font-weight: 400;\"><br \/>\n<\/span><span style=\"font-weight: 400;\">Step 3: 4 x 11 = 44<\/span><span style=\"font-weight: 400;\"><br \/>\n<\/span><span style=\"font-weight: 400;\">Step 4: 44 + 25 = 69<\/span><\/p>\n<p><span style=\"font-weight: 400;\">69 is the correct answer<\/span><span style=\"font-weight: 400;\"><br \/>\n<\/span><span style=\"font-weight: 400;\">(Common errors: many students work from left to right and get wrong answer)<\/span><\/p>\n<h5><strong>Example 4: Find the value of z using BODMAS Rule 33 \u00f7 3 + z x 3 -23 = 0<\/strong><\/h5>\n<p><span style=\"font-weight: 400;\">Solution: Apply BODMAS Rule,<\/span><span style=\"font-weight: 400;\"><br \/>\n<\/span><span style=\"font-weight: 400;\">Step 1: 33 \u00f7 3 = 11<\/span><span style=\"font-weight: 400;\"><br \/>\n<\/span><span style=\"font-weight: 400;\">Step 2: z x 3 = 3z<\/span><span style=\"font-weight: 400;\"><br \/>\n<\/span><span style=\"font-weight: 400;\">Step 3: now, we have 11 + 3z -23 = 0<\/span><span style=\"font-weight: 400;\"><br \/>\n<\/span><span style=\"font-weight: 400;\">Step 4: 11 + 3z = 23<\/span><span style=\"font-weight: 400;\"><br \/>\n<\/span><span style=\"font-weight: 400;\">Step 5: 3z = 23 \u2013 11<\/span><span style=\"font-weight: 400;\"><br \/>\n<\/span><span style=\"font-weight: 400;\">Step 6: 3z = 12<\/span><span style=\"font-weight: 400;\"><br \/>\n<\/span><span style=\"font-weight: 400;\">Step 7: z = 12 \u00f7 3<\/span><span style=\"font-weight: 400;\"><br \/>\n<\/span><span style=\"font-weight: 400;\">Step 8: z = 4<\/span><\/p>\n<p><span style=\"font-weight: 400;\">The value of z is 4.<\/span><\/p>\n<h5><strong>Example 5: (6<span style=\"font-weight: 400;\">\u00f7<\/span>4+2<span style=\"font-weight: 400;\">\u00f7<\/span>4) -2 =?<\/strong><\/h5>\n<p><span style=\"font-weight: 400;\">Solution: Applying BODMAS Rule<\/span><span style=\"font-weight: 400;\"><br \/>\n<\/span><span style=\"font-weight: 400;\">Step 1: (6\/4+2\/4) = 2<\/span><span style=\"font-weight: 400;\"><br \/>\n<\/span><span style=\"font-weight: 400;\">Step 2: 2 \u2013 2 = 0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">0 is the correct answer<\/span><\/p>\n<p><strong>Example 6: 3&#215;3-3\u00f73+3<\/strong><\/p>\n<p>solutions: <span style=\"font-weight: 400;\">Applying BODMAS Rule<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Step 1: 3 \u00f7 3 = 1<\/span><span style=\"font-weight: 400;\"><br \/>\n<\/span><span style=\"font-weight: 400;\">Step 2: 3 x 3 = 9<\/span><span style=\"font-weight: 400;\"><br \/>\n<\/span><span style=\"font-weight: 400;\">Step 3: now, we have 9-1+3<\/span><span style=\"font-weight: 400;\"><br \/>\n<\/span><span style=\"font-weight: 400;\">Step 4: 9 + 3 = 12<\/span><span style=\"font-weight: 400;\"><br \/>\n<\/span><span style=\"font-weight: 400;\">Step 5: now, we have 12-1<\/span><span style=\"font-weight: 400;\"><br \/>\n<\/span><span style=\"font-weight: 400;\">Step 6: 12-1=11<\/span><span style=\"font-weight: 400;\"><br \/>\n<\/span><strong>The correct answer is: 11<\/strong><\/p>\n<h3><span class=\"ez-toc-section\" id=\"Frequently_Asked_Questions\"><\/span><span style=\"font-weight: 400;\">Frequently Asked Questions<\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<h4><span class=\"ez-toc-section\" id=\"Q1_What_is_the_need_of_the_BODMAS_Rule\"><\/span><span style=\"font-weight: 400;\">Q1. What is the need of the BODMAS Rule?<\/span><span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p><span style=\"font-weight: 400;\">Ans. The BODMAS helps students to solve the mathematical problem in the proper order of operations. When students reach the primary classes, they need to solve mathematical problems that require more than one operation. These kinds of problems have more chances of mistakes, BODMAS plays an important role here in eliminating confusion and errors while solving the problem.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">BODMAS instructs that brackets should be solved first, then comes the orders, followed by the division or multiplication and addition or subtraction at the last. It is the most useful rule to make difficult expressions easy to understand. BODMAS is a very easy and simple rule which can be understood easily by the students in primary classes.<\/span><\/p>\n<h4><span class=\"ez-toc-section\" id=\"Q2_Please_give_an_example_of_the_BODMAS_Rule\"><\/span><span style=\"font-weight: 400;\">Q2. Please give an example of the BODMAS Rule.<\/span><span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p><span style=\"font-weight: 400;\">Ans. Here is the BODMAS rule example:<\/span><span style=\"font-weight: 400;\"><br \/>\n<\/span><span style=\"font-weight: 400;\">4 + 3 x 8 =?<\/span><span style=\"font-weight: 400;\"><br \/>\n<\/span><span style=\"font-weight: 400;\">Solution: According to the BODMAS rule, Multiplication needs to be done before addition.<\/span><span style=\"font-weight: 400;\"><br \/>\n<\/span><span style=\"font-weight: 400;\">So,<\/span><span style=\"font-weight: 400;\"><br \/>\n<\/span><span style=\"font-weight: 400;\">Step 1: 3 x 8 = 24<\/span><span style=\"font-weight: 400;\"><br \/>\n<\/span><span style=\"font-weight: 400;\">Step 2: 24 + 4 = 28<\/span><span style=\"font-weight: 400;\"><br \/>\n<\/span><span style=\"font-weight: 400;\">The correct answer is 20.<\/span><span style=\"font-weight: 400;\"><br \/>\n<\/span><span style=\"font-weight: 400;\">(Common mistake that students make: 4 + 3 = 7, 7 x 8 = 56)<\/span><span style=\"font-weight: 400;\"><br \/>\n<\/span><span style=\"font-weight: 400;\">You can find more examples above in the article.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">The BODMAS rule is the order of the operations used in solving algebraic problems. First, start with solving the brackets, then orders followed by division and multiplication and addition\/subtraction are the last step. If students fail to use the rule properly or ignore the BODMAS rule while solving the question, they will get the wrong answer.<\/span><\/p>\n<h5><span style=\"font-weight: 400;\">Q3. What is the full form of BODMAS?<\/span><\/h5>\n<p><span style=\"font-weight: 400;\">Ans. The full form of BODMAS is :<\/span><span style=\"font-weight: 400;\"><br \/>\n<\/span><span style=\"font-weight: 400;\">B- Brackets () \/ {} \/ []<\/span><span style=\"font-weight: 400;\"><br \/>\n<\/span><span style=\"font-weight: 400;\">O- Orders (powers and roots, \u221a)<\/span><span style=\"font-weight: 400;\"><br \/>\n<\/span><span style=\"font-weight: 400;\">D- Division (\u00f7)<\/span><span style=\"font-weight: 400;\"><br \/>\n<\/span><span style=\"font-weight: 400;\">M- Multiplication (x)<\/span><span style=\"font-weight: 400;\"><br \/>\n<\/span><span style=\"font-weight: 400;\">A \u2013 Addition (+)<\/span><span style=\"font-weight: 400;\"><br \/>\n<\/span><span style=\"font-weight: 400;\">S- Subtraction (-)<\/span><\/p>\n<h5><span style=\"font-weight: 400;\">Q4. Are BODMAS and PEMDAS the same?<\/span><\/h5>\n<p><span style=\"font-weight: 400;\">Ans. BODMAS and PEMDAS are exactly the same things. PEMDAS is usually used in the UK. Although PEMDAS indicates to do multiplication before division but that doesn\u2019t change the calculation. Either way, the answer will be the same.<\/span><span style=\"font-weight: 400;\"><br \/>\n<\/span><span style=\"font-weight: 400;\">For example: 5 \u00f7 2 x 3 = 7.5 and 5 x 3 \u00f7 2 = 7.5. In both cases the answer is same.<\/span><\/p>\n<h5><span style=\"font-weight: 400;\">Q5. Are Orders, Indices and Exponents the same?<\/span><\/h5>\n<h5><span style=\"font-weight: 400;\">Ans. Orders, Indices, and exponents are the same things which are the subscript numbers representing the powers in Mathematics. These are the half-size numbers we usually see in algebraic expressions as powers. For example: 3 2 +5, Here, 2 is the power of 3. This can be denoted as order, index, or exponent.<\/span><\/h5>\n<h5><span style=\"font-weight: 400;\">Q6. Is BODMAS a universal rule?<\/span><\/h5>\n<p><span style=\"font-weight: 400;\">Ans. Yes BODMAS is a universal rule. It was introduced by Achilles Reselfelt. This was introduced to make it easy to solve mathematical problems involving more than one sign or operation. BODMAS tells us the order in which we have to operate.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">BODMAS was created according to the rule of mathematics and the precedence of one operation over another. As it is not easy to remember all the rules and precedence, BODMAS is a simple way to solve them. This is accepted universally. Some places call it PEMDAS or BIDMAS also but they are all the same things.<\/span><\/p>\n<h5><span style=\"font-weight: 400;\">Q7. Is there any chance of getting the wrong answer after using BODMAS?<\/span><\/h5>\n<p><span style=\"font-weight: 400;\">Ans. Although BODMAS is the rule to solve problems involving multiple operations but the correct calculations and using it properly is the responsibility of students. If you use the BODMAS rule correctly and make no mistakes in calculations, you will surely get the right answer.<\/span><\/p>\n<h5 data-section-id=\"c2k420\" data-start=\"0\" data-end=\"58\">Q8. Why is BODMAS important in solving maths problems?<\/h5>\n<p data-start=\"60\" data-end=\"387\">Ans<strong data-start=\"60\" data-end=\"68\">.<\/strong> BODMAS is important because it gives a fixed order for solving mathematical expressions. Without using BODMAS, different students may solve the same question in different ways and get different answers. The rule helps in avoiding confusion and ensures that everyone gets the correct answer by following the same steps.<\/p>\n<h5 data-section-id=\"120g31z\" data-start=\"394\" data-end=\"451\">Q9. What happens if we do not follow the BODMAS rule?<\/h5>\n<p data-start=\"453\" data-end=\"718\">Ans<strong data-start=\"453\" data-end=\"461\">.<\/strong> If we do not follow the BODMAS rule, the answer may become incorrect. Mathematical expressions with many operations can be confusing, and solving them in the wrong order changes the final result. BODMAS helps students solve problems step by step correctly.<\/p>\n<h5 data-section-id=\"1vfkamx\" data-start=\"725\" data-end=\"776\">Q10. Which operation is solved first in BODMAS?<\/h5>\n<p data-start=\"778\" data-end=\"1003\">Ans. In BODMAS, brackets are solved first. After brackets, orders such as powers and roots are solved. Then division and multiplication are done from left to right, followed by addition and subtraction from left to right.<\/p>\n<h5 data-section-id=\"12uhe4l\" data-start=\"1010\" data-end=\"1049\">Q11. Can BODMAS be used in algebra?<\/h5>\n<p data-start=\"1051\" data-end=\"1319\">Ans. Yes, BODMAS is widely used in algebra. Algebraic expressions often contain brackets, powers, multiplication, division, addition, and subtraction together. Using the BODMAS rule helps students simplify algebraic expressions correctly and find accurate answers.<\/p>\n<h5 data-section-id=\"ubmotq\" data-start=\"1326\" data-end=\"1393\">Q12. Does multiplication always come before division in BODMAS?<\/h5>\n<p data-start=\"1395\" data-end=\"1627\">Ans<strong data-start=\"1395\" data-end=\"1403\">.<\/strong> No, multiplication does not always come before division. In BODMAS, multiplication and division have the same priority. They should be solved from left to right, depending on which operation appears first in the expression.<\/p>\n<p data-start=\"1629\" data-end=\"1695\"><strong data-start=\"1629\" data-end=\"1641\">Example:<\/strong><br data-start=\"1641\" data-end=\"1644\" \/>20 \u00f7 5 \u00d7 2<br data-start=\"1654\" data-end=\"1657\" \/>Step 1: 20 \u00f7 5 = 4<br data-start=\"1675\" data-end=\"1678\" \/>Step 2: 4 \u00d7 2 = 8<\/p>\n<h5 data-section-id=\"fa6v9z\" data-start=\"1702\" data-end=\"1764\">Q13. Can BODMAS be used for decimal and fraction problems?<\/h5>\n<p data-start=\"1766\" data-end=\"2030\" data-is-last-node=\"\" data-is-only-node=\"\"><strong data-start=\"1766\" data-end=\"1774\">Ans.<\/strong> Yes, BODMAS can also be used for problems involving decimals and fractions. The same order of operations is followed while solving expressions with decimal numbers or fractions. It helps students solve complex calculations in an organized and correct way.<\/p>\n<p><strong>Also Read:\u00a0<a href=\"https:\/\/www.saralstudy.com\/blog\/vedic-maths\/\" target=\"_blank\" rel=\"noopener\">Vedic Mathematics: History, Tricks, Techniques and Example<\/a><\/strong><\/p>\n<p><strong>Learn the BODMAS Rule QUICKLY!<\/strong><\/p>\n<p><iframe loading=\"lazy\" title=\"Learn the BODMAS Rule QUICKLY!\" width=\"1200\" height=\"675\" src=\"https:\/\/www.youtube.com\/embed\/5LE_4UpvK7o?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe><\/p>\n<div id=\"title\" class=\"style-scope ytd-watch-metadata\">\n<p class=\"style-scope ytd-watch-metadata\"><strong>How To Use BODMAS for Order Of Operations<\/strong><\/p>\n<div dir=\"ltr\" data-gpts-theme=\"light\"><\/div>\n<\/div>\n<div id=\"top-row\" class=\"style-scope ytd-watch-metadata\">\n<div id=\"owner\" class=\"item style-scope ytd-watch-metadata\"><\/div>\n<\/div>\n<p><iframe loading=\"lazy\" title=\"How To Use BODMAS for Order Of Operations\" width=\"1200\" height=\"675\" src=\"https:\/\/www.youtube.com\/embed\/nHXT8am9X0o?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe><\/p>\n","protected":false},"excerpt":{"rendered":"<p>The students start to learn mathematics problem solving with simple one operations like subtraction\/ multiplication\/ addition\/ division. These single operations are very simple to do but what about problems containing more than one operation like addition, subtraction, multiplication, division in the same problem? This is where the BODMAS Rule plays a vital role in solving &#8230; <a title=\"BODMAS Rule &#8211; Definition, Formula, Examples\" class=\"read-more\" href=\"https:\/\/www.saralstudy.com\/blog\/bodmas-rule-definition-formula-examples\/\" aria-label=\"Read more about BODMAS Rule &#8211; Definition, Formula, Examples\">Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":2182,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1097],"tags":[],"class_list":["post-1433","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-maths"],"_links":{"self":[{"href":"https:\/\/www.saralstudy.com\/blog\/wp-json\/wp\/v2\/posts\/1433","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.saralstudy.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.saralstudy.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.saralstudy.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.saralstudy.com\/blog\/wp-json\/wp\/v2\/comments?post=1433"}],"version-history":[{"count":12,"href":"https:\/\/www.saralstudy.com\/blog\/wp-json\/wp\/v2\/posts\/1433\/revisions"}],"predecessor-version":[{"id":7174,"href":"https:\/\/www.saralstudy.com\/blog\/wp-json\/wp\/v2\/posts\/1433\/revisions\/7174"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.saralstudy.com\/blog\/wp-json\/wp\/v2\/media\/2182"}],"wp:attachment":[{"href":"https:\/\/www.saralstudy.com\/blog\/wp-json\/wp\/v2\/media?parent=1433"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.saralstudy.com\/blog\/wp-json\/wp\/v2\/categories?post=1433"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.saralstudy.com\/blog\/wp-json\/wp\/v2\/tags?post=1433"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}