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Distributive, Commutative, and Associative Properties

Total questions: 15

Worksheet time: 15mins

Name
Class
Date
1.

(30 + 20) + 60 = 30 + (20 + 60)

a)

Associative Property of Addition

b)

Associative Property of Multiplication

c)

Commutative Property of Addition

d)

Commutative Property of Multiplication

2.

Which example DOES NOT show the commutative property?

a)

 6 x 2=2 x 6 

b)

3 x 1=3 

c)

4 x 5=5 x 4

d)

3 x 1=3 x 1

3.

Which is an example of Associative Property of Addition?

a)

(12+3)+8=12x(3x8)

b)

12x(3x8)=(12x3)x8

c)

(12+8)+3=12+(8+3)

d)

12 + 18 = 18 + 12

4.

According to the Associative Property of Multiplication, (9 x 6) x 5 = 

a)

270

b)

9 x 30

c)

9 x (6 x 5)

d)

5 x 9 + 5 x 6

5.

Which of these illustrates the Associative Property of Multiplication?

a)

4x(5x6)=(4x5)x6

b)

6+(9+1)=(6x9)+1)

c)

4 x (56) = (45) x 6

d)

5 + 0 = 0 + 5

6.

12 + 7 = 7 + 12 
What property is this? 

a)

Commutative Property of Addition

b)

Commutative Property of Multiplication

c)

Distributive Property

d)

Identity Property of Addition

7.

What two words help us remember the Commutative Property?

a)

Change Order

b)

Change Options

c)

Commute Often

d)

Commute Order

8.

What four words help us remember the Associative Property?

a)

All Stay Same Order

b)

Add Subtract Same Order

c)

All Stay Same Options

d)

Add Subtract Something Often

9.

What property is this? 
5 + (8 + 14) = (5 + 8) + 14

a)

Associative Property of Multiplication

b)

Distributive Property

c)

Identity Property

d)

Associative Property of Addition

10.

Which shows the commutative property of multiplication?

a)

5 x 1 = 5

b)

5 x 0 = 0

c)

5 x 1 = 1 x 5

d)

5 + 1 = 1 + 5

11.

Which option shows the commutative property of addition?

a)

(6 + 3) + 1 = 6 + (3 + 1)

b)

6 x 3 = 3 x 6

c)

6 + 3 = 3 + 6

d)

6 x 3 = 18

12.

Which option shows the Associative Property of Addition?

a)

(A + B) + C = A + (B + C)

b)

(A x B) x C = A x (B x C)

c)

C x D = D x C

d)

A + B = B + A

13.

Which property is represented by the following example? 5 x 2 = 2 x 5

a)

Distributive Property

b)

Associative Property

c)

Zero Property

d)

Commutative Property

14.

Which option shows the associative property of addition?

a)

(2 + 5) + 7 = 2 + (5 + 7)

b)

2 x 5 x 7 = 2 x 5 x 7

c)

2 + 3 = 3 + 2

d)

2(4 + x) = 8 + 2x

15.

Which property is shown here?

a)

Distributive Property

b)

Zero Property

c)

Associative Property

d)

Commutative Property