Name: __________________________
Identify the property shown by each statement. Write the letter of the property in the blank next to the statement.
A.
B.
C.
D.
E.
Associative Property of Addition
Commutative Property of Addition
Identity Property of Addition
Distributive Property
Multiplicative Inverse
F. Associative Property of Multiplication
G. Commutative Property of Multiplication
H. Identity Property of Multiplication
I. Additive Inverse Property
J. Multiplicative Property of Zero
______1) 4 x 0 = 0
_____ 6) 8 + (4 + 6) = (8 + 4) + 6
______2) 4 + 5 = 5 + 4
_____ 7) 3 x 1 = 3
______3)
1
x3=1
3
_____ 8) 14  12 = 12  14
______4) 12 + 0 = 12
_____ 9) (-23) + 23 = 0
______5) 4(6+3) = 4(6)+4(3)
_____ 10) (3  9)  12 = 3  (9  12)
Apply the listed property to complete the following statements.
1) Additive Identity: 4 + _________ = ______________
2) Associative Property of Addition: (9 + 3) + 5 = ______________________
3) Multiplicative Inverse: 8  ____________ = ____________________
4) Additive Inverse: (-7) + _____________ = _____________________
5) Distributive Property: 4(x + 3) = __________________________
6) Multiplicative Identity: (-14)  ________________ = ____________________
7) Zero Property of Multiplication: 321  _________________ = _________________
8) Commutative Property of Multiplication: (5 + 6)  3 = __________________________
Practice Questions
1) Mrs. Hansen asked Eli to apply the distributive property to the expression, 2(7 + 3). Which of the
following should Eli have written?
A.
2(10)
B.
2(7) + 2(3)
C.
2(3 + 7)
D. (7 + 3)  2
2) Which is an example of the associative property of multiplication?
F.
7x0x9=0
H.
(6 
G. 4  (7 + 3) = 4  (3+7)
1
)  3=3
6
J. 5  (3  8) = (5  3)  8
3) If a + b = a, then b equals _____.
A. -1
B. 0
C. 1
D. -a
4) Circle each of the following that is an example of the Commutative Property of Addition:
7(4 + 2) = 7(4) + 7(2)
-9 + 7 = 7 + (-9)
16  3 = 3  16
7+2=2+7
(3 + 5) + 8 = (5 + 3) + 8
15 + 81 = 81 + 15
7+0=7
(4 + 5)  3 = 4 + (5  3)
Name: __________________________