5th grade · Math · Unit 10 of 15
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.
California Content Standards learning standard: 5.OA.1; 5.OA.2 · writing and evaluating numerical expressions with parentheses, and interpreting 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.