Operations with Numbers and Properties of Operations

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1.3Operations with Numbers and Properties of Operations

Operations with Numbers and Properties of Operations Revision Questions

1. Which of the following operations does not always give an integer as a result when the two numbers involved are both integers?

  1. Addition
  2. Subtraction
  3. Multiplication
  4. Division

Correct Answer: D

2. Which property/properties of addition is/are applied in the following expression?

47 + 35
= 40 + 7 + 30 + 5
= 40 + 30 + 7 + 5
= 70 + 12
= 82
  1. Commutative and Distributive
  2. Splitting, Commutative and Associative
  3. Splitting, Distributive and Identity element
  4. Closure, Commutative and Associative

Correct Answer: B

3. Which of the following numerical identities is true?

  1. 35 + 42 = 227 ÷ 3
  2. 5 × (12 - 9) = 35
  3. 23 = 32
  4. (6 + 7) × 4 = 24 + 28

Correct Answer: D

4. A city with 70 000 inhabitants is organized in 5 neighbourhoods where each neighbourhood has the same number of inhabitants. If an average family has 4 persons, the number of families in the city is calculated through the expression

  1. 70 000 ÷ 5 × 4
  2. 70 000 ÷ 54
  3. 70 000 ÷ 5 ÷ 4
  4. (70 000 ÷ 5) × 4

Correct Answer: C

5. Which operation is shown in the number line below?

Math Tutorials: Operations with Numbers and Properties of Operations Example
  1. 3 - (-2) + 7
  2. -2 + 5 + 4
  3. 3 - 5 + 7
  4. 3 - 5 + 9

Correct Answer: D

6. Find the quotient (Q), and remainder (R) in the division 127 ÷ 14

  1. Q = 9, R = 1
  2. Q = 12, R = 11
  3. Q = 11, R = 9
  4. Q = 9, R = 13

Correct Answer: A

7. Which of the following identities is CORRECT?

  1. 25 = 4 × (15 - 7)
  2. 26 = 43
  3. 24 ÷ (6 + 2) = 26 ÷ 6 + 24 ÷ 2
  4. 17 × 4 = 14 × 7

Correct Answer: B

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