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Worksheets

PROPERTIES OF OPERATIONS OF INTEGERS

Total questions: 15

Worksheet time: 8mins

Name
Class
Date
1.
(7 + 3) + 4 = 7 + ( 3 + 4)
a)
Distributive Property
b)
Commutative Property of Addition
c)
Associative Property of Multiplication
d)
Associative Property of Addition
2.
x 2 = 2 x 9
a)
Commutative Property of Multiplication
b)
Associative Property of Multiplication
c)
Multiplicative Inverse Property
d)
Distributive Property
3.
x 12 =12
a)
Identity Property of Multiplication
b)
Commutative Property of Multiplication
c)
Multiplication Property of One
d)
Distributive Property
4.
5 + (-5) = 0
a)
Zero Property
b)
Inverse Property of Addition
c)
Identity Property of Addition
d)
Distributive Property
5.
9 + 0 = 9
a)
Identity Property of Multiplication
b)
Associative Property of Addition
c)
Identity Property of Addition
d)
Additive Inverse Property
6.

What property is this an example of?


(1 x 5) x 6 = 1 x (5 x 6)

a)

Distributive Property

b)

Commutative Property of Addition

c)

Associative Property of Addition

d)

Associative Property of Multiplication

7.

What property is shown?


4(5 + 6) = 4(5) + 4(6)

a)

Commutative Property of Addition

b)

Distributive Property

c)

Associative Property of Addition

d)

Inverse Property of Addition

8.

What property is shown?


1/4 x 4/1 = 1

a)

Distributive Property

b)

Commutative Property of Multiplication

c)

Associative Property of Multiplication

d)

Inverse Property of Multiplication

9.

What property is shown?


-5 + 5 = 0

a)

Associative Property of Addition

b)

Inverse Property of Addition

c)

Inverse Property of Multiplication

d)

Distributive Property

10.

What property is shown below?


3 x 5 x 6 = 5 x 6 x 3

a)

Commutative Property of Multiplication

b)

Commutative Property of Addition

c)

Associative Property of Multiplication

d)

Associative Property of Addition

11.

Which of the following is an equivalent expression using the distributive property?


4 (6 + 9)

a)

4 + 6 + 9

b)

4 (69)

c)

4(6) + 4(9)

d)

4 x 6 x 9

12.

What expression shows the associative property of addition?

a)

(4 + 5) + 3 = (3 + 5) + 4

b)

(4 + 5) + 3 = 4 + (5 +3)

c)

4 + 5 + 3 = 5 + 4 + 3

13.

Which of the following choices demonstrates the Multiplicative Identity?

a)

u(1) = u

b)

u(0) = 0

c)

uv = vu

d)

u(vw) = (uv)w

14.

Which of the following choices demonstrates the Multiplicative Inverse?

a)

x(0) = 0

b)

x (1 / x) = 1, (when x not equal to 0)

c)

x(y + z) = xy + xz

d)

xy = yx

15.

Which of the following choices demonstrates the Associative Property of Addition?

a)

a + 0 = a

b)

a + b = b + a

c)

a + (-a) = 0

d)

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