Whole Numbers

Question 1

What is a COMMUTATIVE property?

Answer 1

• An operation is commutative if a change in the order of the numbers does not change the results.
• This means the numbers can be swapped.
• Numbers can be added in any order
• Numbers can be multiplied in any order.

Question 2

What is ASSOCIATIVE property?

Answer 2

• An operation is associative if a change in grouping does not change the results. This means the parenthesis (or brackets) can be moved.
• Numbers that are added can be grouped in any order.
  Example: (4 + 5) + 6 = 5 + (4 + 6)
• Numbers that are multiplied can be grouped in any order. Example: (4 × 5) × 6 = 5 × (4 × 6)

Question 3

What is DISTRIBUTIVE property?

Answer 3

A factor can be broken apart. 
Example: 
3 × 12 = (3 × 10) + (3 × 2) 
12 = 10 + 2, 
so you can multiply by 10, multiply by 2, and add.

Question 4

Which Law is being shown here?

2 × 3 = 3 × 2

Answer 4

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Question 5

Which Law is being shown here?

6 + 9) + 8 = 6 + (9 + 8

Answer 5

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Question 6

Which Law is being shown here?

5 + 12 = 12 + 5

Answer 6

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Question 7

Which Law is being shown here?

10 × 9 = 9 × 10

Answer 7

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Question 8

Which Law is being shown here?

6 × 8 + 4 × 8 = (6 + 4) × 8

Answer 8

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Question 9

Which Law is being shown here?

(6 − 4) × 5 = 6 ___ 5 ___ 4 ___ 5

Answer 9

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