Order of Operations

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Order of Operations

• Fifth Grade Math

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Order of Operations

• Objective to evaluate expressions with three or
  more numbers and two or more operations.

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Problem of the Day

• At a buffet, there are spaghetti, rigatoni,
  penne, ziti, and linguine pastas. There are
  Alfredos, pesto, and marinara sauces.
• How many different pasta-and-sauce combinations
  can you make?

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Problem Solving Strategy

• Make an Organized List
• There are 15 different pasta-and-sauce
  combinations.

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Key Idea

• When more than one operation is involved, you
  must follow the rules for order of operations.
• Vocabulary order of operations

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Two students evaluated 36 9 3 5 and got
different answers.

• Juans Way
• 36 9 3 5
• 45 3 5
• 15 5
• 75

• Rebeccas Way
• 36 9 3 5
• 36 3 5
• 36 15
• 51

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To avoid getting more than one answer,
mathematicians use the order of operations.
Rebecca used the correct order. The value of the
expression is 51.
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Order of Operations

• 1. First, do the operations inside parentheses.
• 2. Then, multiply and divide in order from left
  to right.
• 3. Finally, add and subtract in order from left
  to right.

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Use the order of operations to evaluate each
expression.

• 1. 14 6 2
• 2. 63 (3 3) 4
• 3. 6 (11 7) (8 4)
• 4. Number Sense Would the value of
• (12 4) 2 7 change if the parentheses were
  removed? Explain your thinking.

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Journal Writing in Math

• Explain the steps you should use to evaluate the
  expression
• 16 8 5 2
• and give the value of the expression.

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Test Taking Practice

• 1. Insert parentheses to make the number sentence
  true
• 36 9 3 4 12

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Answer

• 36 (9 3) 4 12