{"appState":{"pageLoadApiCallsStatus":true},"articleState":{"article":{"headers":{"creationTime":"2016-03-28T14:38:30+00:00","modifiedTime":"2016-03-28T14:38:30+00:00","timestamp":"2022-09-09T18:15:42+00:00"},"data":{"breadcrumbs":[{"name":"Academics & The Arts","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33662"},"slug":"academics-the-arts","categoryId":33662},{"name":"Math","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33720"},"slug":"math","categoryId":33720},{"name":"Algebra","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33721"},"slug":"algebra","categoryId":33721}],"title":"How to Apply Order of Operations in Algebra","strippedTitle":"how to apply order of operations in algebra","slug":"how-to-apply-order-of-operations-in-algebra","canonicalUrl":"","seo":{"metaDescription":"The order of operations in algebra means solving first for exponents or roots, then multiplication, division, addition, and last for subtraction. 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The steps for the order of operations also require attention to mathematical grouping symbols, such as parentheses and brackets.","item_vector":null},"titleHighlight":null,"descriptionHighlights":null,"headers":null},{"objectType":"article","id":194576,"data":{"title":"How to Remember the Order of Operations","slug":"how-to-remember-the-order-of-operations","update_time":"2016-03-26T21:49:52+00:00","object_type":"article","image":null,"breadcrumbs":[{"name":"Academics & The Arts","slug":"academics-the-arts","categoryId":33662},{"name":"Math","slug":"math","categoryId":33720},{"name":"Algebra","slug":"algebra","categoryId":33721}],"description":"You have to follow the order of operations with each algebra problem you solve. Following the order of operations in algebra ensures that anyone reading a mathematical expression can solve it the same way and get the same answer.\nYou work out the order of operations by solving in this order:\n\n Parentheses or grouping symbols\n \n Exponents (powers) or roots\n \n Multiplication or division\n \n Addition or subtraction\n \n\nWhen you have two operations on the same “level,” you can do them in any order. For example, if a problem contains both a power and a root, either can be done first. If you have more than two operations, do them in order from left to right, following the order of operations.\nYou may encounter an expression with no grouping symbols, such as 4 – 4 ÷ 2 + 5 × 2. You can make it easier to follow the order of operations by adding your own grouping symbols. Now the problem looks like this: 4 − [(4 ÷ 2) + (5 × 2)].\nRemember algebra's order of operations with the phrase, \"Please Excuse My Dear Aunt Sally.\" This trick for remembering the order of operations reminds you of which steps to take and when: Parentheses/grouping symbols, Exponents/roots, Multiply, Divide, Add, Subtract (PEMDAS).","item_vector":null},"titleHighlight":null,"descriptionHighlights":null,"headers":null},{"objectType":"article","id":197580,"data":{"title":"How to Use the Order of Operations","slug":"how-to-use-the-order-of-operations","update_time":"2016-03-26T22:21:17+00:00","object_type":"article","image":null,"breadcrumbs":[{"name":"Academics & The Arts","slug":"academics-the-arts","categoryId":33662},{"name":"Math","slug":"math","categoryId":33720},{"name":"Algebra","slug":"algebra","categoryId":33721}],"description":"Follow the order of operations with each algebra problem you solve. The order of operations in algebra is important if you want to find the correct answer. You first work through any grouping symbols, then exponents or roots, then multiplication, division, addition, and finally subtraction.\nPractice following the order of operations by solving this example problem:\n2 + 32(5 – 1)= ?\n\n\nSolve expressions contained within grouping symbols.\nSubtract the 1 from the 5 in the parenthesis to get 4.\nNow the problem looks like this: 2 + 32(4) = ?\n\n\nSolve terms with exponents or square roots\nRaise the 3 to the second power to get 9.\nNow the problem looks like this: 2 + 9(4) = ?\n\n\nSolve expressions that require multiplication or division.\nMultiply the 9 and 4 to get 36.\nNow the problem looks like this: 2 + 36 = ?\n\n\nSolve expressions that require addition or subtraction.\nAdd 2 and 36.\nYour final answer is 38.\n\n\nYou may encounter an expression with no grouping symbols, such as 4 − 4 ÷ 2 + 5 × 2 = ?. To make following the order of operations easier, you can add your own grouping symbols, which makes the order clearer. Now the problem looks like this: 4 – (4 ÷ 2) + (5 × 2) = ?.\nAn easy way to remember the order of operations is to remember the phrase, \"Please Excuse My Dear Aunt Sally,\" which means Parentheses/grouping symbols Exponents or roots Multiply Divide Add Subtract.","item_vector":null},"titleHighlight":null,"descriptionHighlights":null,"headers":null},{"objectType":"article","id":144058,"data":{"title":"Order of Operations","slug":"order-of-operations","update_time":"2016-03-26T07:58:50+00:00","object_type":"article","image":null,"breadcrumbs":[{"name":"Academics & The Arts","slug":"academics-the-arts","categoryId":33662},{"name":"Math","slug":"math","categoryId":33720},{"name":"Algebra","slug":"algebra","categoryId":33721}],"description":"When performing more than one operation on an algebraic expression, you must use the different operations in a precise order. Grouping symbols, such as parentheses and brackets, can interrupt the order of operations. The order of operations is listed here:\n\n Powers or roots\n \n Multiplication or division\n \n Addition or subtraction\n \n\nIf an operation appears more than once in an expression, perform that operation from left to right.","item_vector":null},"titleHighlight":null,"descriptionHighlights":null,"headers":null},{"objectType":"article","id":192380,"data":{"title":"Order of Operations in Algebra","slug":"order-of-operations-in-algebra","update_time":"2016-03-26T21:21:06+00:00","object_type":"article","image":null,"breadcrumbs":[{"name":"Academics & The Arts","slug":"academics-the-arts","categoryId":33662},{"name":"Math","slug":"math","categoryId":33720},{"name":"Algebra","slug":"algebra","categoryId":33721}],"description":"When creating simpler and more useful expressions, you want to be careful not to change the original value. By applying the order of operations, you maintain that value.\nApply the order of operations when no grouping symbols, such as parentheses, interrupt. When more of one level occurs in a problem, do them in order from left to right. When you perform operations on algebraic expressions and you have a choice between one or more operations to perform, use the following order:\n\n\nPowers and roots\n\n\nMultiplication and division\n\n\nAddition and subtraction\n\n\nThese rules are interrupted if the problem has grouping symbols. You first need to perform operations in grouping symbols, such as ( ), { }, [ ] , above and below fraction lines, and inside radicals.","item_vector":null},"titleHighlight":null,"descriptionHighlights":null,"headers":null}]},"relatedArticlesStatus":"success"},"routeState":{"name":"Article3","path":"/article/academics-the-arts/math/algebra/how-to-apply-order-of-operations-in-algebra-210245/","hash":"","query":{},"params":{"category1":"academics-the-arts","category2":"math","category3":"algebra","article":"how-to-apply-order-of-operations-in-algebra-210245"},"fullPath":"/article/academics-the-arts/math/algebra/how-to-apply-order-of-operations-in-algebra-210245/","meta":{"routeType":"article","breadcrumbInfo":{"suffix":"Articles","baseRoute":"/category/articles"},"prerenderWithAsyncData":true},"from":{"name":null,"path":"/","hash":"","query":{},"params":{},"fullPath":"/","meta":{}}},"dropsState":{"submitEmailResponse":false,"status":"initial"},"sfmcState":{"status":"initial"},"profileState":{"auth":{},"userOptions":{},"status":"success"}}How to Apply Order of Operations in Algebra
The order of operations in algebra means solving first for exponents or roots, then multiplication, division, addition, and last for subtraction. The steps for the order of operations also require attention to mathematical grouping symbols, such as parentheses and brackets. About This Article
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