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)
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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