Order of Operations

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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.
• Dont forget to solve the problem from left to
  right!

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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 18 2
20
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Exponents

• The second step of the order of operations is
  exponents.

Ex. (3 2)2 25 á 52 25
Ex. 3 (3 2)2 28 á 3 25 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 4
18 22
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Addition

• The fifth step of the order of operations is
  addition.

Ex. 3 6 9
Ex. 3 4 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 18 - 16 2
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Practice
Copy the following problems into your notebook
and practice them.
(3 5) 2
3 8 4 12
(3 5)2 2
28 32 x 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 3 4
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 2 32 4
(12 2) 12 22 x 1
Answer
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Practice Answers
3 8 4 12 17 3 2 12 17 5 12 17
(3 5) 2 6 8 2 6
(3 5)2 2 62 82 2 62 64 2
62
28 32 x 2 10 28 9 x 2 10 28 18 10
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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
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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
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Quiz Answers
(3 x 2)2 x 4 2 32 4 77 36 x 2 9 4
77 72 5 77
(12 2) 12 22 x 1 11 14 3 X 1 11 14
3 11