{"id":79466,"date":"2021-03-29T13:50:08","date_gmt":"2021-03-29T08:20:08","guid":{"rendered":"https:\/\/ccssmathanswers.com\/?p=79466"},"modified":"2022-04-01T10:27:15","modified_gmt":"2022-04-01T04:57:15","slug":"bodmas-rule","status":"publish","type":"post","link":"https:\/\/bigideasmathanswers.com\/bodmas-rule\/","title":{"rendered":"BODMAS Rule &#8211; Definition, Formula, Examples | Order of Operations | How to Apply BODMAS Rule?"},"content":{"rendered":"<p>BODMAS is a basic rule in mathematics to solve an arithmetic expression simply. BODMAS Rule is very helpful to improve the mathematic operations easily and quickly. Some Mathematical operations where we use BODMAS Rule are given here. Those mathematical operations are addition (+), subtraction (-), multiplication (X), division (\u00f7).<\/p>\n<p>BODMAS stands for<br \/>\nB \u2013 Bracket.<br \/>\nO \u2013 Of or Order.<br \/>\nD \u2013 Division.<br \/>\nM \u2013 Multiplication.<br \/>\nA \u2013 Addition.<br \/>\nS \u2013 Subtraction.<\/p>\n<p>Read More Articles:<\/p>\n<ul>\n<li><a href=\"https:\/\/ccssmathanswers.com\/uses-of-brackets\/\">Uses of Brackets<\/a><\/li>\n<li><a href=\"https:\/\/ccssmathanswers.com\/removal-of-brackets\/\">Removal of Brackets<\/a><\/li>\n<\/ul>\n<h3>Order of Operations<\/h3>\n<p>By following the left to right method on operations, we won\u2019t get the exact solution. We need to follow the order to simplify the mathematical operations. To solve any arithmetic operation, the BODMAS rule provides the order of operations. The operations in mathematics are addition, subtraction, multiplication, and division. While solving an expression we need to follow the below-mentioned order. That is<\/p>\n<ul>\n<li>Firstly, we have to give priority to the Bracket terms.<\/li>\n<li>The second priority for Of or Order operation.<\/li>\n<li>The third priority for division operation.<\/li>\n<li>Fourth priority for the multiplication operation.<\/li>\n<li>Next priority for the addition operation.<\/li>\n<li>Final priority for subtraction operation.<\/li>\n<\/ul>\n<p>For example: x + (y \u2013 z) + a \u00d7 c \u00f7 p +a\u00b2.<\/p>\n<p>1. First priority for bracket operation that is (y \u2013 z) = A.<br \/>\n2. Second priority for of or order operation a\u00b2 = B.<br \/>\n3. Third priority for division operation c \u00f7 p = C.<br \/>\n4. Fourth priority for multiplication a \u00d7 C = D.<br \/>\n5. Next priority for addition operation x + A + D + B = E.<\/p>\n<p>Sometimes BODMAS is also called BIDMAS and PEMDAS. BIDMAS stands for Brackets, Indices, Division, Multiplication, Addition, Subtraction. If we have square terms, powers, and exponent terms in an arithmetic operation, then we can use this \u2018BIDMAS\u2019 instead of the \u2018BODMAS\u2019 rule. PEMDAS stands for Parentheses, Exponent, Multiplication, Division, Addition, and Subtraction.<\/p>\n<h3>Use of Bracket<\/h3>\n<p>We have to give the importance for bracket terms first in an expression. In the bracket terms also, we need to follow the division, multiplication, addition, and subtraction order. For example,<br \/>\n2 + 3(2 + 4 \u00d7 5) \u2013 1 = 2 + 3(2 + 20) \u2013 1.<br \/>\n= 2 + 3(22) \u2013 1.<br \/>\n= 2 + 66 \u2013 1.<br \/>\n= 68 \u2013 1 = 67.<br \/>\nThe brackets will clearly explain the relationship between terms.<br \/>\n1500 \u00f7 500 [(12-2) + (10 +5) \u00d7 (6 + 4)] = 1500 \u00f7 500 [10 + 15 \u00d7 10].<br \/>\n= 1500 \u00f7 500 [10 + 150].<br \/>\n= 1500 \u00f7 500 \u00d7 160.<br \/>\n= 3 \u00d7 160 = 480.<br \/>\n1500 \u00f7 500 [(12-2) + (10 +5) \u00d7 (6 + 4)] = 480.<\/p>\n<h3>BODMAS Rule Questions<\/h3>\n<p>1. Simplify the below operations by using the BODMAS Rule.<br \/>\n(i) 8 + 3 \u00d7 5.<br \/>\n(ii) 5 \u00d7 (2 + 6) + 6\u00b2.<br \/>\n(iii) 4 \u2013 1 + 9 \u00f7 3.<br \/>\n(iv) 25 \u2013 8 \u00d7 2 + 5.<br \/>\n(v) 50 \u2013 20 + (2 \u00d7 4) + 2\u00b2.<\/p>\n<p>(i) 8 + 3 \u00d7 5.<br \/>\nSolution: The given expression is 8 + 3 \u00d7 5.<br \/>\nWe have only two operations in the above expression. They are addition and multiplication.<br \/>\nAs per the BODMAS Rule, we need to simplify the multiplication term first and then additional terms.<br \/>\nMultiplication terms are 3 \u00d7 5 = 15.<br \/>\n8 + 3 \u00d7 5 = 8 + 15.<br \/>\nNow, simplify the addition term. That is, 8 + 15 = 23.<br \/>\nTherefore, 8 + 3 X 5 is equal to 23.<\/p>\n<p>(ii) 5 \u00d7 (2 + 6) + 6\u00b2.<br \/>\nSolution: The given expression is 5 \u00d7 (2 + 6) + 6\u00b2.<br \/>\nwe have multiplication, bracket terms, and order terms in the above expression.<br \/>\nAs per the BODMAS Rule, we need to simplify the bracket term first, next order terms, then multiplication, and finally addition terms.<br \/>\nBracket terms are (2 \u00d7 6) = 12.<br \/>\nSo, 5 \u00d7 12 + 6\u00b2.<br \/>\nNext, order terms, 6\u00b2 = 36.<br \/>\nSo, 5 \u00d7 12 + 36.<br \/>\nNext, multiplication order. That is, 5 \u00d7 12 = 60.<br \/>\nThat is 60 + 36.<br \/>\nFinally addition 60 + 36 = 96.<br \/>\nTherefore, 5 \u00d7 (2 + 6) + 6\u00b2 is equal to 96.<\/p>\n<p>(iii) 4 \u2013 1 + 9 \u00f7 3.<br \/>\nSolution: The given expression is 4 \u2013 1 + 9 \u00f7 3.<br \/>\nThe order of the BODMAS Rule is<br \/>\nB \u2013 Bracket \u2013 1st.<br \/>\nO \u2013 Order \u2013 2nd.<br \/>\nD \u2013 Division \u2013 3rd.<br \/>\nM \u2013 Multiplication \u2013 4th.<br \/>\nA \u2013 Addition \u2013 5th.<br \/>\nS \u2013 Subtraction \u2013 6th.<br \/>\nWe have only subtraction, addition, and division operations in the above expression. By following the BODMAS Rule, we need to give first priority for division, subtraction, and then addition.<br \/>\n4 \u2013 1 + 9 \u00f7 3 = 4 \u2013 1 + 3.<br \/>\n= 3 + 3.<br \/>\n= 6.<br \/>\nTherefore, 4 \u2013 1 + 9 \u00f7 3 is equal to 6.<\/p>\n<p>(iv) 25 \u2013 8 \u00d7 2 + 5.<br \/>\nSolution: The given expression is 25 \u2013 8 \u00d7 2 + 5.<br \/>\nThe order of the BODMAS Rule is<br \/>\nB \u2013 Bracket \u2013 1st.<br \/>\nO \u2013 Order \u2013 2nd.<br \/>\nD \u2013 Division \u2013 3rd.<br \/>\nM \u2013 Multiplication \u2013 4th.<br \/>\nA \u2013 Addition \u2013 5th.<br \/>\nS \u2013 Subtraction \u2013 6th.<br \/>\nWe have subtraction, multiplication, and addition operations in the above expression. Based on the BODMAS Rule, the first priority will give for the multiplication, next addition, and then subtraction terms. That is,<br \/>\n25 \u2013 8 \u00d7 2 + 5 = 25 \u2013 16 + 5.<br \/>\n= 30 \u2013 16.<br \/>\n= 14.<br \/>\nTherefore, 25 \u2013 8 \u00d7 2 + 5 is equal to 14.<\/p>\n<p>(v) 50 \u2013 20 + (2 \u00d7 4) + 2\u00b2.<br \/>\nSolution: The given expression is 50 \u2013 20 + (2 \u00d7 4) + 2\u00b2.<br \/>\nBy following the BODMAS Rule,<br \/>\n50 \u2013 20 + (2 \u00d7 4) + 2\u00b2 = 50 \u2013 20 + 8 + 2\u00b2 (bracket term first).<br \/>\n= 50 \u2013 20 + 8 + 4 (order term).<br \/>\n= 62 \u2013 20 (addition term).<br \/>\n= 42 (subtraction term).<br \/>\nTherefore, 50 \u2013 20 + (2 \u00d7 4) + 2\u00b2 is equal to 42.<\/p>\n<h3>FAQs on BODMAS Rule<\/h3>\n<p><strong>1. What is BODMAS Rule?<\/strong><\/p>\n<p>BODMAS Rule is the order of operations in mathematics to simply solve the arithmetic expression. BODMAS stands for Bracket, Of or Order, Division, Multiplication, Addition, and Subtraction.<\/p>\n<p><strong>2. What is \u2018D\u2019 in BODMAS?<\/strong><\/p>\n<p>D in BODMAS Stands for Division.<\/p>\n<p><strong>3. What is the order of operations in the BODMAS rule?<\/strong><\/p>\n<p>For better simplification, we have an order of operation in the BODMAS Rule. That is Bracket terms, Order or exponent operation, division operation, multiplication operation, addition operation, and the subtraction operation.<\/p>\n<p><strong>4. Do you Multiply if there are no exponent terms in the expression?<\/strong><\/p>\n<p>Yes, if there are no bracket terms and exponent terms, then we can do the multiplication operation. If there is a bracket term, then we have to do a bracket term operation and then a multiplication operation.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>BODMAS is a basic rule in mathematics to solve an arithmetic expression simply. BODMAS Rule is very helpful to improve the mathematic operations easily and quickly. Some Mathematical operations where we use BODMAS Rule are given here. Those mathematical operations are addition (+), subtraction (-), multiplication (X), division (\u00f7). BODMAS stands for B \u2013 Bracket. &#8230; <a title=\"BODMAS Rule &#8211; Definition, Formula, Examples | Order of Operations | How to Apply BODMAS Rule?\" class=\"read-more\" href=\"https:\/\/bigideasmathanswers.com\/bodmas-rule\/\" aria-label=\"More on BODMAS Rule &#8211; Definition, Formula, Examples | Order of Operations | How to Apply BODMAS Rule?\">Read more<\/a><\/p>\n","protected":false},"author":3,"featured_media":79472,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[5],"tags":[],"jetpack_featured_media_url":"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/03\/BODMAS-Rule.png","_links":{"self":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/79466"}],"collection":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/comments?post=79466"}],"version-history":[{"count":1,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/79466\/revisions"}],"predecessor-version":[{"id":91964,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/79466\/revisions\/91964"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/media\/79472"}],"wp:attachment":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/media?parent=79466"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/categories?post=79466"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/tags?post=79466"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}