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.
Washington State Learning Standards learning standard: M.5.R.OA.1; M.5.R.OA.2 · evaluating numerical expressions with parentheses, brackets or braces, and writing and interpreting simple expressions
How we explain it
Children can open this short lesson before they practice.
- Do what is inside parentheses ( ) first, then brackets [ ].
- Then multiply and divide, left to right.
- 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
Sample questions
A taste of this unit. In the app, questions change every time and get easier or harder to match your child.
Question 1
Where do the parentheses go to make 4 + 2 × 6 = 36?
- 4 + (2 × 6)
- (4 + 2) × 6
- 4 + 2 × 6 (no parentheses)
(4 + 2) × 6
Hint: Try each one. (4 + 2) × 6 = 6 × 6 = 36.
Question 2
Which expression means “add 7 and 3, then multiply by 4”?
- (4 + 7) × 3
- 4 × (7 + 3)
- 4 × 7 + 3
- 7 + 3 × 4
4 × (7 + 3)
Hint: Parentheses show what to do first.
Question 3
Without calculating: 3 × (2664 + 327) is how many times as large as 2664 + 327?
- 4
- 2664
- 327
- 3
3
Hint: 3 × (anything) is 3 times that amount.
Question 4
What is (4 + 9) × 3?
(4 + 9) × 3 = ?
- 31
- 40
- 39
- 42
- 41
39
Hint: Work inside the parentheses first.
Question 5
What is 2 × [5 + (4 × 1)]?
- 20
- 17
- 18
- 14
- 21
18
Hint: Inside out: 4 × 1 = 4. Then 5 + 4 = 9. Then 2 × 9.
Question 6
Without calculating: 4 × (3193 + 686) is how many times as large as 3193 + 686?
- 4
- 5
- 3193
- 686
4
Hint: 4 × (anything) is 4 times that amount.