Numerical Expressions — Answer Key
Part A: Fill in the Blank
Write the missing word or number on each line.
1. Write an expression: Add 13 and 7, then multiply by 4. Answer: (13 + 7) × 4
Since the addition of 13 and 7 needs to happen before multiplying, parentheses group them: (13 + 7) × 4.
2. Evaluate: (13 + 7) × 4 = 80
First solve inside the parentheses: 13 + 7 = 20. Then multiply: 20 × 4 = 80.
3. Write an expression: Divide 56 by 7, then subtract 3. Answer: (56 ÷ 7) − 3
Parentheses around (56 ÷ 7) ensure the division is done first, and then 3 is subtracted from the quotient.
4. Evaluate: (56 ÷ 7) − 3 = 5
First solve inside the parentheses: 56 ÷ 7 = 8. Then subtract: 8 − 3 = 5.
5. Write an expression: Multiply 9 by 3, then add 18. Answer: (9 × 3) + 18
The multiplication of 9 by 3 goes inside parentheses so it happens first, and then 18 is added to the product.
6. Evaluate: (9 × 3) + 18 = 45
First solve inside the parentheses: 9 × 3 = 27. Then add: 27 + 18 = 45.
7. Write an expression: Subtract 6 from 30, then divide by 8. Answer: (30 − 6) ÷ 8
Parentheses around (30 − 6) force the subtraction to happen before the division by 8.
8. Evaluate: (30 − 6) ÷ 8 = 3
First solve inside the parentheses: 30 − 6 = 24. Then divide: 24 ÷ 8 = 3.
9. Evaluate: (5 + 10) × (24 ÷ 8) = 45
Solve each set of parentheses first: 5 + 10 = 15 and 24 ÷ 8 = 3. Then multiply: 15 × 3 = 45.
Part B: Matching
Match each item on the left to the correct answer on the right.
1. Match each item to its correct answer.
Add 12 and 8, then divide by 5
→ (12 + 8) ÷ 5
(16 − 4) × 3
Multiply 7 by 5, then subtract 10
→ (7 × 5) − 10
(42 ÷ 6) + 13
Subtract 4 from 16, then multiply by 3
→ (16 − 4) × 3
(12 + 8) ÷ 5
Divide 42 by 6, then add 13
→ (42 ÷ 6) + 13
(7 × 5) − 10
Correct matches: Add 12 and 8, then divide by 5 → (12 + 8) ÷ 5; Multiply 7 by 5, then subtract 10 → (7 × 5) − 10; Subtract 4 from 16, then multiply by 3 → (16 − 4) × 3; Divide 42 by 6, then add 13 → (42 ÷ 6) + 13.