PROPERTIES OF MULTIPLICATION WORKSHEET

In questions 1-5, select the property that is being illustrated.

Question 1 :

4 • 9 = 9 • 4

(A) Property of Multiplicative Inverse

(B) Associative Property of Multiplication

(C) Commutative Property of Multiplication

(D) Distributive Property

Question 2 :

(2 • 3) • 5 = 2 • (3 • 5)

(A) Identity Property for Multiplication

(B) Associative Property of Multiplication

(C) Property of Multiplicative Inverse

(D) Commutative Property of Multiplication

Question 3 :

y • 1 = 1 • y = y

(A) Associative Property of Multiplication

(B) Identity Property of Multiplication

(C) Property of Multiplicative Inverse

(D) Commutative Property of Multiplication

Question 4 :

-3(x + 4) = -3x - 12

(A) Multiplication Property of Equality

(B) Associative Property of Multiplication

(C) Distributive Property

(D) Identity Property for Multiplication

Question 5 :

a • 1/a = 1/a • a = 1

(A) Associative Property of Multiplication

(B) Identity Property of Multiplication

(C) Property of Multiplicative Inverse

(D) Commutative Property of Multiplication

Question 6 :

-3(x - 3) = -3x + 9

(A) Commutative Property of Multiplication

(B) Associative Property of Multiplication

(C) Identity Property for Multiplication

(D) Distributive Property

In questions 6-10, choose the answer the best answers the question. 

Question 7 :

Which of the following is an illustration of the commutative property of multiplication?

(A) x • (y • z) = (x • y) • z

(B) x ⋅ y = y ⋅ x

(C) x + (y + z) = (x + y) + z

(D) x + y = y + x

Question 8 :

Which of the following is an illustration of the associative property of multiplication?

(A) a(b + c) = ab + ac

(B) a • b = b • c

(C) a + (b + c) = (a + b) + c

(D) a • (b • c) = (a • b) • c

Question 9 :

Which statement best illustrates the identity property of multiplication ?

(A) 2 • 6 = 6 • 2

(B) 6 • 0 = 0

(C) 6 • 1 = 6

(D) 6 + 0 = 6

Question 10 :

Which statement best illustrates the inverse property of multiplication?

(A) 2 • (-½)  =  -1

(B) 2 • 1 = 2

(C) 2 • 0 = 0

(D) 2 • ½ = 1

Question 11 : 

Which of the following is an illustration of the distributive property multiplication over addition?

(A) a(b + c) = ab + ac

(B) ab + 0 = ab

(C) a + (b + c) = (a + b) + c

(D) a • b = b • a

Question 12 :

If x = y, which statement best illustrates the multiplication property of equality?

(A) 3x = 3y

(B) x • 1 = x

(C) y • 1 = y

(D) x + 3 = y + 3

Question 13 :

Given an example for commutative property of multiplication.

Question 14 :

Given an example for associative property of multiplication.

Question 15 :

Given an example for identity property of multiplication.

Question 16 :

Given an example for identity property of multiplication.

Question 17 :

Find the product of 1 and 15.98.

Question 18 :

Find the product of 0.789 and 0.

Question 19 :

Evaluate the following multiplication using distributive property of multiplication over addition.

4(2 + 3)

Question 20 :

Evaluate the following multiplication using distributive property of multiplication over subtraction.

3.5(4 - 2)

Answers

1. Answer :

(C) Commutative Property of Multiplication

2. Answer :

(C) Associative Property of Addition

3. Answer :

(B) Identity Property of Multiplication

4. Answer :

(C) Distributive Property

5. Answer :

(C) Property of Multiplicative Inverse

6. Answer :

(D) Distributive Property

7. Answer :

(B) x ⋅ y = y ⋅ x

8. Answer :

(D) a • (b • c) = (a • b) • c

9. Answer :

(C) 6 • 1 = 6

10. Answer :

(D) 2 • ½ = 1

11. Answer :

(A) a(b + c) = ab + ac

12. Answer :

(A) 3x = 3y

13. Answer :

2 x 8 = 8 x 2

14. Answer :

7 x (4 x 9) = (7 x 4) x 9

15. Answer :

3 x 1 = 1 x 3 = 3

16. Answer :

5 x 0 = 0 x 5 = 0

17. Answer :

According identity property of multiplication, the product of 1 and any number is always equal to the number itself.

So,

1 x 15.98 = 15.98

18. Answer :

According zero property of multiplication, the product of any number and zero is always equal to zero.

So,

0.789 x 0 = 0

19. Answer :

4(2 + 3) = 4 x 2 + 4 x 3

= 8 + 12

= 20

20. Answer :

3.5(4 - 2) = 3.5 x 4 - 3.5 x 2

= 14 - 7

= 7

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