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Operations with Numbers and Properties of Operations

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The following math revision questions are provided in support of the math tutorial on Operations with Numbers and Properties of Operations. In addition to this tutorial, we also provide revision notes, a video tutorial, revision questions on this page (which allow you to check your understanding of the topic) and calculators which provide full, step by step calculations for each of the formula in the Operations with Numbers and Properties of Operations tutorials. The Operations with Numbers and Properties of Operations calculators are particularly useful for ensuring your step-by-step calculations are correct as well as ensuring your final result is accurate.

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Arithmetic Learning Material
Tutorial IDTitleTutorialVideo
Tutorial		Revision
Notes		Revision
Questions
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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  2. Arithmetic Math tutorial: Operations with Numbers and Properties of Operations. Read the Operations with Numbers and Properties of Operations math tutorial and build your math knowledge of Arithmetic
  3. Arithmetic Video tutorial: Operations with Numbers and Properties of Operations. Watch or listen to the Operations with Numbers and Properties of Operations video tutorial, a useful way to help you revise when travelling to and from school/college
  4. Arithmetic Revision Notes: Operations with Numbers and Properties of Operations. Print the notes so you can revise the key points covered in the math tutorial for Operations with Numbers and Properties of Operations
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  6. Continuing learning arithmetic - read our next math tutorial: Order of Operation and the PEMDAS Rule

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