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5th grade · Math · Unit 10 of 14

Parentheses & Expressions

Brackets first!

What your child practices

Evaluating expressions with parentheses and brackets, writing an expression from words, and reading an expression without calculating it.

Arizona Academic Standards learning standard: 5.OA.A.1; 5.OA.A.2 · writing and evaluating numerical expressions with parentheses, and interpreting expressions

How we explain it

Children can open this short lesson before they practice.

  1. Do what is inside parentheses ( ) first, then brackets [ ].
  2. Then multiply and divide, left to right.
  3. Then add and subtract, left to right.

Example: What is 3 × [2 + (4 × 5)]? 4 × 5 = 20. 2 + 20 = 22. 3 × 22 = 66. Answer: 66

Parentheses & Expressions in Arizona

In the Arizona Academic Standards, this is unit 10 of 14 in 5th grade Math, after Converting Units and before Coordinate Grid.

Gradelings describes a child's practice on this unit as Beginning, Approaching, Meeting or Exceeding (Four practice steps). That reflects practice, not a report-card mark: the teacher decides the mark.

Source: Arizona Department of Education

Sample questions

A taste of this unit. In the app, questions change every time and get easier or harder to match your child.

  1. Question 1

    Without calculating: 9 × (6642 + 656) is how many times as large as 6642 + 656?

    • 6642
    • 656
    • 10
    • 9

  2. Question 2

    Which expression means “multiply 7 by 2, then add 6”?

    • 7 × 2 + 6
    • 7 + 2 × 6
    • (7 + 6) × 2
    • 7 × (2 + 6)

  3. Question 3

    What is 5 × [6 + (3 × 5)]?

    • 110
    • 165
    • 45
    • 104
    • 105

  4. Question 4

    Where do the parentheses go to make 5 + 2 × 2 = 14?

    • 5 + (2 × 2)
    • 5 + 2 × 2 (no parentheses)
    • (5 + 2) × 2

  5. Question 5

    What is (6 + 5) × 2?

    (6 + 5) × 2 = ?

    • 16
    • 22
    • 21
    • 23
    • 24

  6. Question 6

    What is (7 + 6) × 5?

    (7 + 6) × 5 = ?

    • 65
    • 70
    • 66
    • 37
    • 63

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