Numerical Expressions — Answer Key
Part A: Multiple Choice
Circle the best answer for each question.
1. Which expression represents: Multiply the sum of 9 and 6 by the difference of 10 and 3?
A) (9 + 6) × (10 − 3)
B) (9 × 6) + (10 − 3)
C) 9 + 6 × 10 − 3
D) (9 + 6) + (10 × 3)
Sum of 9 and 6 = (9 + 6). Difference of 10 and 3 = (10 − 3). Multiplying them: (9 + 6) × (10 − 3).
2. Without calculating, which statement about 12 × (8 + 15) is true?
A) It is 12 more than (8 + 15)
B) It is 12 times as large as (8 + 15)
C) It equals 12 × 8 + 15
D) It is half of (8 + 15)
Multiplying an expression by 12 produces a result that is 12 times as large as the original expression. This is true regardless of the value of (8 + 15).
3. What is the value of (4 + 6) × (30 ÷ 5)?
A) 16
B) 60
C) 50
D) 36
(4 + 6) = 10. (30 ÷ 5) = 6. 10 × 6 = 60.
4. Which expression has the greatest value? A = 5×(7+3), B = 4×(7+3), C = 6×(7+3), D = 3×(7+3)
A) A = 5 × (7 + 3)
B) B = 4 × (7 + 3)
C) C = 6 × (7 + 3)
D) D = 3 × (7 + 3)
All expressions multiply the same value (7 + 3 = 10) by different factors. The greatest factor is 6, so C = 6 × 10 = 60 is the largest.
Part B: Fill in the Blank
Write the correct answer on each line.
1. Evaluate: (3 + 7) × (12 − 4) = 80
(3 + 7) = 10. (12 − 4) = 8. 10 × 8 = 80.
2. Evaluate: (48 ÷ 6) + (5 × 3) = 23
(48 ÷ 6) = 8. (5 × 3) = 15. 8 + 15 = 23.
3. Evaluate: (9 × 4) − (20 ÷ 5) = 32
(9 × 4) = 36. (20 ÷ 5) = 4. 36 − 4 = 32.
4. Write an expression: Find the product of the sum of 11 and 5 and the difference of 9 and 3. Answer: (11 + 5) × (9 − 3)
Sum of 11 and 5 = (11 + 5). Difference of 9 and 3 = (9 − 3). Their product: (11 + 5) × (9 − 3).
5. Evaluate: (11 + 5) × (9 − 3) = 96
(11 + 5) = 16. (9 − 3) = 6. 16 × 6 = 96.