Math Number Sense and Operations 1 — Questions and Answers
Question 1: Evaluate: 3 + 4 × 2 − 1
- 10 (Correct answer)
- 13
- 5
- 14
Correct answer: 10
Following order of operations (PEMDAS), multiplication is performed first: 4 × 2 = 8, then left to right: 3 + 8 − 1 = 10.
Question 2: Which property is illustrated by: 5 × (3 + 4) = 5 × 3 + 5 × 4?
- Commutative Property
- Associative Property
- Distributive Property (Correct answer)
- Identity Property
Correct answer: Distributive Property
The Distributive Property states that a(b + c) = ab + ac, which is exactly what is shown here.
Question 3: What is the absolute value of −17?
- −17
- 17 (Correct answer)
- 1/17
- 0
Correct answer: 17
Absolute value represents the distance from zero on the number line, so |−17| = 17.
Question 4: Which of the following is a prime number?
- 1
- 51
- 57
- 53 (Correct answer)
Correct answer: 53
53 is prime because it has no divisors other than 1 and itself; 51 = 3 × 17, 57 = 3 × 19, and 1 is not prime by definition.
Question 5: What is the least common multiple (LCM) of 6 and 8?
- 14
- 24 (Correct answer)
- 2
- 48
Correct answer: 24
Since 6 = 2 × 3 and 8 = 2³, the LCM = 2³ × 3 = 24.
Question 6: Evaluate: (−3) × (−4) + (−2)
- −14
- 10 (Correct answer)
- 14
- −10
Correct answer: 10
Two negatives multiplied give a positive: (−3) × (−4) = 12, then 12 + (−2) = 10.
Question 7: What is 2⁵?
- 10
- 25
- 32 (Correct answer)
- 64
Correct answer: 32
2⁵ means 2 multiplied by itself 5 times: 2 × 2 × 2 × 2 × 2 = 32.
