Order of Operations

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What does order of operations mean? Order of operations is the order in which you solve a math problem with many components. The first rule of order of operations is P.E.M.D.A.S. Don’t forget to solve the problem from left to right!

P l e a s E x c u s e M y D e a r A u n t S a l y

Parentheses The first step of the order of operations is parentheses. Ex. (3 x 6) = 18 Ex. (3 x 6) + 2 = 20 á 18 + 2 = 20

Exponents The second step of the order of operations is exponents. á 52 = 25 Ex. 3 + (3 + 2)2 = 28 á 3 + 25 = 28

Multiplication The third step of the order of operations is multiplication. Ex. 6 x 4 = 24 Ex. (3-2)2 x 4 = 4 á 1 x 4 = 4

Division The fourth step of the order of operations is division. Ex. 8 ÷ 2 = 4 Ex. 8 ÷ 2 + (3 x 6) = 22 á 4 + 18 = 22

Addition The fifth step of the order of operations is addition. Ex. 3 + 6 = 9 Ex. 3 + 4 ÷ 2 = 4 á 3 + 2 = 4

Subtraction The last step of the order of operations is subtraction. Ex. 16 – 4 = 12 Ex. 18 – (2 + 2)2 = 2 á 18 - 16 = 2

Practice Copy the following problems into your notebook and practice them. (3 + 5) – 2 = 3 + 8 ÷ 4 + 12 = 28 – 32 x 2 = (3 + 5)2 – 2 = Answers

Practice Copy the following problems into your notebook and practice them. 42 + (2 x 5) x 3 – 6 ÷ 2 = (3 x 2)2 ÷ 5 – 3 + 4 = Answers

Practice Need extra help? Try this: More order of operation problems

Self Quiz Copy the following problems on a piece of paper and hand them in when you are done. 12 x 2 – 4 x 6 = (12 + 2) – 12 ÷ 22 x 1 = (3 x 2)2 x 4 ÷ 2 + 32 – 4 = Answer

Practice Answers (3 + 5) – 2 = 6 8 – 2 = 6 3 + 8 ÷ 4 + 12 = 17 3 + 2 + 12 = 17 5 +12 = 17 28 – 32 x 2 = 10 28 – 9 x 2 = 10 28 – 18 = 10 (3 + 5)2 – 2 = 62 82 – 2 = 62 64 – 2 = 62

Practice Answers 42 + (2 x 5) x 3 – 6 ÷ 2 = 43 16 + 10 x 3 – 3 = 43 16 + 30 – 3 = 43 46 – 3 = 43 (3 + 2)2 ÷ 5 – 3 + 4 = 6 52 ÷ 5 – 3 + 4 = 6 25 ÷ 5 – 3 + 4 = 6 5 - 3 + 4 = 6 2 + 4 = 6

Quiz Answers 12 x 2 – 4 x 6 = 0 24 – 24 = 0 (12 + 2) – 12 ÷ 22 x 1 = 21 24 – 3 x 1 = 21 21 x 1 = 21 (3 x 2)2 x 4 ÷ 2 + 32 – 4 = 77 36 x 2 + 9 – 4 = 77 72 + 5 = 77

Credits Created by: Lisa Foti Graphics from: Microsoft Office Online Website from practice help: Math Goodies http://www.mathgoodies.com/lessons/vol7/order_operations.html