ParaPro Number Sense and Basic Operations — Questions and Answers
Question 1: A student says that 0.5 is greater than 0.50. Is the student correct?
- Yes, because 0.5 has fewer digits
- No, 0.5 and 0.50 are equal in value (Correct answer)
- Yes, because 0.50 has an extra zero making it larger
- No, 0.50 is greater because it has more digits
Correct answer: No, 0.5 and 0.50 are equal in value
Trailing zeros after a decimal point do not change the value, so 0.5 = 0.50.
Question 2: Which of the following represents the number 4,207 in expanded form?
- 4,000 + 200 + 7 (Correct answer)
- 4,000 + 20 + 7
- 400 + 200 + 7
- 4,000 + 207
Correct answer: 4,000 + 200 + 7
4,207 = 4,000 + 200 + 7, reflecting the thousands, hundreds, tens, and ones places.
Question 3: What is the remainder when 58 is divided by 7?
Correct answer: 4
7 × 8 = 56, and 58 − 56 = 2, so the remainder is 2.
Question 4: A classroom has 144 crayons to be shared equally among 12 students. How many crayons does each student get?
- 10
- 11
- 12 (Correct answer)
- 13
Correct answer: 12
144 ÷ 12 = 12 crayons per student.
Question 5: Which number is a composite number?
- 11
- 13
- 15 (Correct answer)
- 17
Correct answer: 15
15 is composite because it has factors other than 1 and itself (3 × 5 = 15).
Question 6: Round 3,846 to the nearest hundred.
- 3,800 (Correct answer)
- 3,900
- 4,000
- 3,850
Correct answer: 3,800
The tens digit is 4 (less than 5), so 3,846 rounds down to 3,800.
Question 7: Which expression shows the commutative property of addition?
- (2 + 3) + 4 = 2 + (3 + 4)
- 2 + 3 = 3 + 2 (Correct answer)
- 2 + 0 = 2
- 2 × (3 + 4) = 2×3 + 2×4
Correct answer: 2 + 3 = 3 + 2
The commutative property states that changing the order of addends does not change the sum: a + b = b + a.
Question 8: What is the least common multiple (LCM) of 4 and 6?
Correct answer: 12
The multiples of 4 are 4, 8, 12… and of 6 are 6, 12…, so the LCM is 12.
Question 9: A number is multiplied by 0. What is the result?
- The number itself
- 1
- 0 (Correct answer)
- Undefined
Correct answer: 0
Any number multiplied by 0 equals 0, by the zero property of multiplication.
Question 10: Which of the following is an example of an even number?
- 37
- 41
- 53
- 64 (Correct answer)
Correct answer: 64
64 is even because it is divisible by 2 with no remainder.
Question 11: Estimate the sum of 389 + 214 by rounding each number to the nearest hundred.
- 500
- 600 (Correct answer)
- 700
- 400
Correct answer: 600
389 rounds to 400 and 214 rounds to 200; 400 + 200 = 600.
Question 12: What is the value of the digit 6 in the number 76,432?
- 6
- 600
- 6,000 (Correct answer)
- 60,000
Correct answer: 6,000
The digit 6 is in the thousands place, so its value is 6 × 1,000 = 6,000.
Question 13: A store sells apples in bags of 8. If a teacher needs 56 apples, how many bags must she buy?
Correct answer: 7
56 ÷ 8 = 7, so the teacher needs to buy 7 bags.
Question 14: Which of the following correctly orders these numbers from least to greatest: 0.6, 0.06, 0.66, 0.606?
- 0.06, 0.6, 0.606, 0.66 (Correct answer)
- 0.6, 0.06, 0.606, 0.66
- 0.06, 0.606, 0.6, 0.66
- 0.66, 0.606, 0.6, 0.06
Correct answer: 0.06, 0.6, 0.606, 0.66
Converting to thousandths: 0.060, 0.600, 0.606, 0.660 — ordering from least gives 0.06, 0.6, 0.606, 0.66.