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Worksheets

Properties of Real Numbers (7 - 5)

Total questions: 20

Worksheet time: 8mins

Name
Class
Date
1.

What is another word for opposites in numbers?

a)

multiplicative identity element

b)

additive identity element

c)

multiplicative inverse

d)

additive inverse

2.

What is another word for reciprocals?

a)

multiplicative identity element

b)

additive identity element

c)

multiplicative inverse

d)

additive inverse

3.

Find the additive inverse of this number:

 1515  

a)

 1515  

b)

 15-15  

c)

 115\frac{1}{15}  

d)

 115-\frac{1}{15}  

4.

Find the additive inverse of this number:

 27-27  

a)

 2727  

b)

 27-27 

c)

 127\frac{1}{27}  

d)

 127-\frac{1}{27}  

5.

Find the additive inverse of this number:

97\frac{9}{7}

a)

79\frac{7}{9}

b)

79-\frac{7}{9}

c)

97\frac{9}{7}

d)

97-\frac{9}{7}

6.

Find the multiplicative inverse of this number:

 55  

a)

 15\frac{1}{5}  

b)

 15-\frac{1}{5}  

c)

 55  

d)

 5-5  

7.

Find the multiplicative inverse of this number:

 23\frac{2}{3}  

a)

 23-\frac{2}{3}  

b)

 23\frac{2}{3}  

c)

 32-\frac{3}{2}  

d)

 32\frac{3}{2}  

8.

What is the additive identity element?

a)

 00  

b)

11

c)

reciprocalsreciprocals

d)

oppositesopposites

9.

What is the multiplicative identity element?

a)

 reciprocalsreciprocals  

b)

 oppositesopposites 

c)

 11  

d)

 00  

10.

What property of real numbers is used in this situation?

 8(5+2)=(85)+(82)8\left(5+2\right)=\left(8\cdot5\right)+\left(8\cdot2\right)  

a)

Associative Property of Addition

b)

Commutative Property of Addition

c)

Distributive Property of Multiplication over Subtraction

d)

Distributive Property of Multiplication over Addition

11.

What property of real numbers is used in this situation?

 12(3+27)=12(27+3)12\left(3+27\right)=12\left(27+3\right)  

a)

Commutative Property of Multiplication

b)

Commutative Property of Addition

c)

Associative Property of Multiplication

d)

Associative Property of Addition

12.

What property of real numbers is used in this situation?

 (7+2)+9=7+(2+9)\left(7+2\right)+9=7+\left(2+9\right)  

a)

Commutative Property of Multiplication

b)

Commutative Property of Addition

c)

Associative Property of Multiplication

d)

Associative Property of Addition

13.

What property of real numbers is used in this situation?

 2170 = 0217\cdot0\ =\ 0  

a)

Distributive Property of Multiplication

b)

Zero Property of Multiplication

c)

Identity Property of Multiplication

d)

Inverse Property of Multiplication

14.

What property of real numbers is used in this situation?

 897+(897)=0897+\left(-897\right)=0  

a)

Inverse Property of Addition

b)

Inverse Property of Multiplication

c)

Identity Property of Addition

d)

Identity Property of Multiplication

15.

What property of real numbers is used in this situation?

 17117=117\cdot\frac{1}{17}=1  

a)

Inverse Property of Addition

b)

Inverse Property of Multiplication

c)

Identity Property of Addition

d)

Identity Property of Multiplication

16.

What property of real numbers is used in this situation?

 9271 = 927927\cdot1\ =\ 927  

a)

Inverse Property of Addition

b)

Inverse Property of Multiplication

c)

Identity Property of Addition

d)

Identity Property of Multiplication

17.

What property of real numbers is used in this situation?

 4+16=204+16=20  

a)

Identity Property of Addition

b)

Identity Property of Multiplication

c)

Closure Property of Addition

d)

Closure Property of Multiplication

18.

What property of real numbers is used in this situation?

 (39)(49)=(35)9\left(3\cdot9\right)-\left(4\cdot9\right)=\left(3-5\right)9  

a)

Associative Property of Addition

b)

Associative Property of Multiplication

c)

Distributive Property of Multiplication over Subtraction

d)

Distributive Property of Multiplication over Addition

19.

What property of real numbers is used in this situation?

 638+0=638638+0=638  

a)

Inverse Property of Addition

b)

Inverse Property of Multiplication

c)

Identity Property of Addition

d)

Identity Property of Multiplication

20.

What property of real numbers is used in this situation?

 12(3)(8)=12(8)(3)12\left(3\right)\left(8\right)=12\left(8\right)\left(3\right)  

a)

Commutative Property of Multiplication

b)

Commutative Property of Addition

c)

Associative Property of Multiplication

d)

Associative Property of Addition