# Order of Operations

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Category: Education

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Ms. Dulavitch SOL 6.8 Math 6 Order of Operations

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Using Order of Operations helps us decide which part of a problem to solve first. For example, in this problem, do you add 9 + 5 first or multiply 5 x 2 first? 9 + 5 x 2 Do you get the same answer either way? Order of Operations

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9 + 5 x 2 If you add 9 + 5 first, then multiply by 2, your final answer is 28. If you multiply 5 x 2 first, then add 9, your final answer is 19. Which answer is correct? Order of Operations

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9 + 5 x 2 Answer: 19 How do you know to multiply first? Does it work that way every time? Yes! If you use Order of Operations, you will follow the same steps for every problem and arrive at the correct answer. Order of Operations

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We will use PEMDAS to help us remember the Order of Operations. P arentheses E xponents M ultiplication D ivision A ddition S ubtraction PEMDAS or or

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First, solve every operation in P arentheses. Second, solve every E xponent. Third, solve M ultiplication and D ivision depending on which comes first left to right . Ex 1) 3 x 6 / 2 Multiply first, then divide. Ex 2) 10 / 2 x 3 Divide first, then multiply. PEMDAS

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Fourth, solve A ddition and S ubtraction depending on which comes first left to right . Ex 1) 5 + 6 - 2 Add first, then subtract. Ex 2) 12 - 1 + 3 Subtract first, then add. Let’s try one together! PEMDAS

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Keep PEMDAS in mind! First, solve everything in P arentheses. Our new problem says: Example 1

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Example 1 There are no E xponents in the problem, so we can skip that step. Next, we M ultiply or D ivide. Last, we A dd or S ubtract.

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Let’s try another one! We can skip the P arentheses step. First, solve the E xponent. Example 2

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We skip M ultiplication and D ivision. Next, we S ubtract, since subtraction comes before addition in the problem. Last, we A dd. Example 2

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Now it’s your turn! Don’t forget to use PEMDAS! Check your work: Answer: O Practice 1

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Let’s try one more practice problem! Check your work: Answer: 12 Practice 2

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If you want some more practice before your quiz, check out the Math is Fun website. You can also watch this Order of Operations rap to help you learn the PEMDAS steps! More PEMDAS

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For the following problem, which operation would you do first? A. Multiplication B. Division C. Addition D. Subtraction Quiz Question 1

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For the following problem, which operation would you do last? A. Multiplication B. Division C. Addition D. Subtraction Quiz Question 2

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Solve the problem using Order of Operations: A. 9 B. 13 C. 7 D. - 3 Quiz Question 3

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Solve the problem using Order of Operations: A. 24 B. 9 C. 4 D. 1 Quiz Question 4

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Why do you multiply before you divide in the following problem? A. Multiply comes before divide in PEMDAS. B. Multiplication comes first reading left to right. C. The Multiplication problem has an exponent with it. D. Actually, it doesn’t matter whether you multiply or divide first. You get the same answer. Quiz Question 5

Right

Wrong

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Microsoft Office Clipart- http://office.microsoft.com/en-us/images/ Creative Commons- http://creativecommons.org/ Order of Operations Math Rap [Video File] Retrieved from http://www.youtube.com/watch?v=d0xutl2sUt0 MathIsFun (2012). Order of Operations. Retrieved from http://www.mathsisfun.com/operation-order-pemdas.html Credits