{"id":79476,"date":"2021-03-29T13:57:00","date_gmt":"2021-03-29T08:27:00","guid":{"rendered":"https:\/\/ccssmathanswers.com\/?p=79476"},"modified":"2022-04-01T10:27:15","modified_gmt":"2022-04-01T04:57:15","slug":"bodmas-rules-involving-integers","status":"publish","type":"post","link":"https:\/\/bigideasmathanswers.com\/bodmas-rules-involving-integers\/","title":{"rendered":"BODMAS Rules \u2013 Involving Integers | Simplification of Expressions Involving Integers | Order of Operations in Mathematics"},"content":{"rendered":"<p>For the simplification of involving integers in an arithmetic expression, we have to follow the BODMAS Rules. It is the basic order for mathematic operations. In BODMAS every letter indicates one operation and we have to place it in a specific order to simplify any arithmetic operation easily.<\/p>\n<p>B stands for Bracket, O stands for order or of, D stands for Division, M stands for Multiplication, A stands for Addition and S stands for Subtraction. We have to follow the above priority levels for every arithmetic operation simplification process which involves integers.<\/p>\n<p>Read More:<\/p>\n<ul>\n<li><a href=\"https:\/\/ccssmathanswers.com\/bodmas-rule\/\">BODMAS Rule<\/a><\/li>\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<h2>BODMAS Rules Involving Integers Questions<\/h2>\n<p><strong>Example 1.<\/strong><\/p>\n<p>Solve the below expressions by using BODMAS Rule<br \/>\n(i) 6 \u00d7 (10 + 5).<br \/>\n(ii) 2 + 5 of 3 \u2013 6.<br \/>\n(iii) 10 \u00f7 2 \u00d7 3 + 6.<br \/>\n(iv) 15 + (6 \u00d7 3) \u2013 20 \u00f7 5.<\/p>\n<p>(i) 6 \u00d7 (10 + 5).<br \/>\n<strong>Solution:<\/strong><\/p>\n<p>The given expression is 6 \u00d7 (10 + 5).<br \/>\nAs per the BODMAS rule, simplify the bracket terms first and then multiplication.<br \/>\n6 \u00d7 (10 + 5) = 6 \u00d7 15.<br \/>\n= 90.<br \/>\nTherefore, 6 X (10 + 5)is equal to 90.<br \/>\n(ii) 2 + 5 of 3 \u2013 6.<br \/>\nSolution: The given expression is 2 + 5 of 3 \u2013 6.<br \/>\nAs per the BODMAS rules, we have to simplify the \u2018of\u2019 term first and then addition and subtraction terms.<br \/>\n2 + 5 of 3 \u2013 6 = 2 + 5 \u00d7 3 \u2013 6.<br \/>\n= 2 + 15 \u2013 6.<br \/>\n= 17 \u2013 6.<br \/>\n= 11.<br \/>\nSo, by simplifying the 2 + 5 of 3 \u2013 6 is equal to 11.<br \/>\n(iii) 10 \u00f7 2 \u00d7 3 + 6.<br \/>\nSolution: The given expression is 10 \u00f7 2 \u00d7 3 + 6.<br \/>\nAs per the BODMAS Rule, we have to simplify division terms first then multiplication and addition.<br \/>\n10 \u00f7 2 \u00d7 3 + 6 = 5 \u00d7 3 + 6.<br \/>\n= 15 + 6.<br \/>\n= 21.<br \/>\nTherefore, by simplifying the 10 \u00f7 2 \u00d7 3 + 6 is equal to 21.<br \/>\n(iv) 15 + (6 \u00d7 3) \u2013 20 \u00f7 5.<br \/>\nSolution: The given expression is 15 + (6 \u00d7 3) \u2013 20 \u00f7 5.<br \/>\nAs per the BODMAS rule, we have to simplify the bracket terms first, then division, addition, and subtraction.<br \/>\n15 + (6 \u00d7 3) \u2013 20 \u00f7 5 = 15 + 18 \u2013 20 \u00f7 5.<br \/>\n= 15 + 18 \u2013 4.<br \/>\n= 33 \u2013 4.<br \/>\n= 29.<br \/>\nSo, by simplifying the 15 + (6 \u00d7 3) \u2013 20 \u00f7 5, we will get the result as 29.<\/p>\n<p><strong>Example 2.<\/strong><\/p>\n<p>Simplify the below expressions by using the BODMAS rule.<br \/>\n(a) 15 \u2013 24 \u00f7 6 + 10 \u00d7 2.<br \/>\n(b) 39 \u2013 [10 + 6 of (20 \u2013 2 + 10)].<br \/>\n(c) 25 \u2013 8 of (15 \u2013 10) + 2 \u00d7 5.<br \/>\n(d) 30 \u00d7 2 + 2 of (10 \u00f7 2) \u2013 10.<\/p>\n<p>(a) 15 \u2013 24 \u00f7 6 + 10 \u00d7 2.<br \/>\n<strong>Solution:<\/strong><\/p>\n<p>The given expression is 15 \u2013 24 \u00f7 6 + 10 \u00d7 2.<br \/>\nBased on the BODMAS Rule.<br \/>\n15 \u2013 24 \u00f7 6 + 10 \u00d7 2 = 15 \u2013 4 + 10 \u00d7 2 (Division first 24 \u00f7 6 = 4).<br \/>\n= 15 \u2013 4 + 20 (multiplication term 10 \u00d7 2 = 20).<br \/>\n= 35 \u2013 4 (addition 15 + 20 = 35).<br \/>\n= 31 (subtraction 35 \u2013 4 = 31).<br \/>\nTherefore, by simplifying the 15 \u2013 24 \u00f7 6 + 10 \u00d7 2, we will get the result as 31.<br \/>\n(b) 39 \u2013 [10 + 6 of (20 \u2013 2 + 10)].<br \/>\nSolution: The given expression is 39 \u2013 [10 + 6 of (20 \u2013 2 + 10)].<br \/>\nBased on the BODMAS Rule,<br \/>\n39 \u2013 [10 + 6 of (20 \u2013 2 + 10)] = 39 \u2013 [10 + 6 of (30 \u2013 2)] (addition term in brackets 10 + 20 =30).<br \/>\n= 39 \u2013 [10 + 6 of (28)] (subtraction 30 \u2013 2= 28).<br \/>\n= 39 \u2013 [10 + 6 \u00d7 28].<br \/>\n= 39 \u2013 [10 + 168] (multiplication 6 x 28 = 168).<br \/>\n= 39 \u2013 178 (addition 10 + 168 = 178).<br \/>\n= &#8211; 139 ( subtraction).<br \/>\nBy simplifying the 39 \u2013 [10 + 6 of (20 \u2013 2 + 10)], we will get the result as -139.<br \/>\n(c) 25 \u2013 8 of (15 \u2013 10) + 2 \u00d7 5.<br \/>\nSolution: The given expression is 25 \u2013 8 of (15 \u2013 10) + 2 \u00d7 5.<br \/>\nBased on the BODMAS rule,<br \/>\n25 \u2013 8 of (15 \u2013 10) + 2 \u00d7 5 = 25 \u2013 8 of (5) + 2 \u00d7 5 (bracket term subtraction 15 \u2013 10 = 5).<br \/>\n= 25 \u2013 8 \u00d7 5 + 2 \u00d7 5.<br \/>\n= 25 \u2013 40 + 10 (multiplication 8 \u00d7 5 = 40, 2 \u00d7 5 = 10).<br \/>\n= 35 \u2013 40 (addition 25 + 10 = 35).<br \/>\n= &#8211; 5 (subtraction 35 \u2013 40 = -5).<br \/>\nTherefore, 25 \u2013 8 of (15 \u2013 10) + 2 \u00d7 5 is equal to &#8211; 5.<br \/>\n(d) 30 \u00d7 2 + 2 of (10 \u00f7 2) \u2013 10.<br \/>\nSolution: The given expression is 30 \u00d7 2 + 2 of (10 \u00f7 2) \u2013 10.<br \/>\nBased on the BODMAS Rule,<br \/>\n30 \u00d7 2 + 2 of (10 \u00f7 2) \u2013 10 = 30 \u00d7 2 + 2 of (5) \u2013 10 (division 10 \u00f7 2 = 5).<br \/>\n= 30 \u00d7 2 + 2 \u00d7 5 \u2013 10.<br \/>\n= 60 + 10 \u2013 10 (multiplication 30 \u00d7 2 = 60, 2 \u00d7 5 = 10).<br \/>\n= 70 -10 (addition 60 + 10 = 70).<br \/>\n= 60 (subtraction 70 \u2013 10 = 60).<br \/>\nTherefore, 30 \u00d7 2 + 2 of (10 \u00f7 2) \u2013 10 is equal to 60.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>For the simplification of involving integers in an arithmetic expression, we have to follow the BODMAS Rules. It is the basic order for mathematic operations. In BODMAS every letter indicates one operation and we have to place it in a specific order to simplify any arithmetic operation easily. B stands for Bracket, O stands for &#8230; <a title=\"BODMAS Rules \u2013 Involving Integers | Simplification of Expressions Involving Integers | Order of Operations in Mathematics\" class=\"read-more\" href=\"https:\/\/bigideasmathanswers.com\/bodmas-rules-involving-integers\/\" aria-label=\"More on BODMAS Rules \u2013 Involving Integers | Simplification of Expressions Involving Integers | Order of Operations in Mathematics\">Read more<\/a><\/p>\n","protected":false},"author":3,"featured_media":79478,"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-Rules-Involving-Integers.png","_links":{"self":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/79476"}],"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=79476"}],"version-history":[{"count":1,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/79476\/revisions"}],"predecessor-version":[{"id":91963,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/79476\/revisions\/91963"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/media\/79478"}],"wp:attachment":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/media?parent=79476"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/categories?post=79476"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/tags?post=79476"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}