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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!
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Please Excuse My Dear Aunt Sally
PEMDAS Please Excuse My Dear Aunt Sally Do you have other Mnemonics?
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Parentheses The first step of the order of operations is parentheses.
Ex. (3 x 6) = 18 Ex. (3 x 6) + 2 = 20 á = 20
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Exponents The second step of the order of operations is exponents.
á 52 = 25 Ex. 3 + (3 + 2)2 = 28 á = 28
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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
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Division The fourth step of the order of operations is division.
Ex. 8 ÷ 2 = 4 Ex. 8 ÷ 2 + (3 x 6) = 22 á = 22
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Addition The fifth step of the order of operations is addition.
Ex = 9 Ex ÷ 2 = 4 á 3 + 2 = 4
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Subtraction The last step of the order of operations is subtraction.
Ex. 16 – 4 = 12 Ex. 18 – (2 + 2)2 = 2 á = 2
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Practice Copy the following problems into your notebook and practice them. (3 + 5) – 2 = 3 + 8 ÷ = 28 – 32 x 2 = (3 + 5)2 – 2 = Answers
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Practice Copy the following problems into your notebook and practice them. 42 + (2 x 5) x 3 – 6 ÷ 2 = (3 x 2)2 ÷ 5 – = Answers
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Quiz 12 x 2 – 4 x 6 = (12 + 2) – 12 ÷ 22 x 1 = Answer
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Quiz (3 x 2)2 x 4 ÷ – 4 = (12 + 2) – 12 ÷ 22 x 1 = Answer
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