wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Classifying Real Numbers 8th grade still needs edits

Total questions: 157

Worksheet time: 9hrs 19mins

Name
Class
Date
1.

What is the best classification for this number?

Where should it be placed in the diagram?


-4

a)

none of these

b)

whole

c)

integer

d)

rational

2.

What is the best classification for this number?

Where should it be placed in the diagram?


10

a)

none of these

b)

whole

c)

integer

d)

rational

3.

What is the best classification for this number?

Where should it be placed in the diagram?


1/4

a)

integer

b)

rational

c)

none of these

d)

whole

4.

Classify the number

CHOOSE ALL THAT APPLY


-20

a)

positive number

b)

whole number

c)

integer

d)

rational number

5.

Classify the number

CHOOSE ALL THAT APPLY


3/4

a)

negative number

b)

whole number

c)

integer

d)

rational number

6.

A rational number is a number that can be written as a ...

a)

multiplication problem

b)

any number that can be expressed as a fraction

c)

algebraic expression

d)

a type of food

7.

An example of a whole number is:

a)

4/9

b)

-9

c)

5.2

d)

17

8.

A whole number is...

a)

any number on the number line

b)

a fraction

c)

a negative number

d)

a number with NO extra pieces; a counting number, or zero

9.

Which of the following is NOT an integer?

a)

0

b)

1.57

c)

-6

d)

10

10.
a)

Yes

b)

No

11.
a)

Yes

b)

No

12.

Explain the error(s).

a)

-1.2 isn't an integer.

b)

-2 isn't a whole number and 3.4 isn't a rational number.

c)

-2 isn't a whole number and -1.2 isn't an integer.

d)

The numbers are graphed correctly.

13.

Where would you place -6?

a)

In the whole number circle because it's a whole number, integer, and rational number.

b)

In the integer circle because it's an integer and rational number only.

c)

In the rational circle because it's only a rational number.

d)

I'm not sure because I don't know what rational means.

14.

Check all the statements that are true.

a)

Whole numbers are only positive numbers.

b)

Integers are all whole numbers and their opposites.

c)

Rational numbers are whole numbers, integers along with fractions and decimals

d)

I may run in the halls at school.

15.

What is 22 in a/b (fraction) form?

a)

22/1

b)

1/22

c)

d)

1⅗

16.

Which of the following are integers?

a)

8

b)

-3

c)

-8

d)

410\frac{4}{10}  

17.

Is 2 a natural number?

a)

True

b)

False

18.

Which of the following is a whole number?

a)

9

b)

109\frac{10}{9}  

c)

3 12-3\ \frac{1}{2}  

d)

2 232\ \frac{2}{3}  

19.

Which of the following is a whole number?

a)

-2

b)

-10

c)

10

d)

-1

20.

Which of the following are whole numbers?

a)

0

b)

78\frac{7}{8}  

c)

13\frac{1}{3}  

d)

3

21.

Which of the following are rational numbers?

a)

64

b)

15

c)

74\frac{7}{4}  

d)

7.452

22.

Which of the following are whole numbers?

a)

0

b)

78

c)

35

d)

-88

23.

Is 74.874.\overline{8}  a natural number?

a)

Yes

b)

No

24.

Which of the following is a rational number?

a)

75\sqrt[]{75}  

b)

95.395.\overline{3}  

c)

44\sqrt[]{44}  

d)

π\pi  

25.

Is 23 a rational number?

a)

Yes

b)

No

26.

Which of the following describe 77?

Select all that apply.

a)

irrational number

b)

rational number

c)

natural number

d)

whole number

e)

integer

27.

Which of the following describe 91?

Select all that apply.

a)

irrational number

b)

rational number

c)

natural number

d)

whole number

e)

integer

28.

Which of the following describe 23\sqrt[]{23}  ?

Select all that apply.

a)

irrational number

b)

rational number

c)

natural number

d)

whole number

e)

integer

29.

Which of the following describe 03\frac{0}{3}  ?

Select all that apply.

a)

irrational number

b)

rational number

c)

natural number

d)

whole number

e)

integer

30.
Classify this number:  6.7
a)
real
b)
real      rational
c)
real      rational        integer
d)
real   rational   integer   whole
31.
Classify this number:  -12
a)
real
b)
real      rational
c)
real       irrational
d)
real         rational        integer
32.
-4 is not a whole number because:
a)
It's negative and whole numbers are positive.
b)
it's irrational.
c)
it cannot be turned into a fraction.
d)
it is even.
33.
Which word does NOT describe 5?
a)
Whole
b)
Integer
c)
Rational
d)
Irrational
34.

The numbers 0,1,2,3...are called?

a)

whole numbers

b)

fractions

c)

irrational numbers

d)

natural numbers

35.

Numbers like -3,-2,-1,0,1,2,3 are called?

a)

whole numbers

b)

integers

c)

irrational numbers

d)

natural numbers

36.
A rational number can be written as a fraction?
a)
True
b)
False
37.
-10 is a whole number?
a)
True
b)
False 
38.
0.89 is a rational number?
a)
True
b)
False 
39.

Zero is a whole number?

a)

True

b)

False

40.
-9 is an integer?
a)
True
b)
False
41.

Classify the number (choose all that apply): -20

a)

natural number

b)

whole number

c)

integer

d)

rational number

e)

irrational number

42.

Classify the number (choose all that apply): 3/4

a)

natural number

b)

whole number

c)

integer

d)

rational number

e)

irrational number

43.

Classify the number (choose all that apply): 9

a)

natural number

b)

whole number

c)

integer

d)

rational number

e)

irrational number

44.

Classify the number (choose all that apply):

a)

natural number

b)

whole number

c)

integer

d)

rational number

e)

irrational number

45.

A whole number is an integer

a)

Always

b)

Sometimes

c)

Never

46.

An integer is an irrational number

a)

Always

b)

Sometimes

c)

Never

47.
A whole number is...
a)
a big number
b)
a fraction
c)
a negative number
d)
a number with NO fractional part or decimal
48.

Integers are...

a)

whole numbers and their opposites

b)

a fraction

c)

a decimal number

d)

only positive numbers

49.
√10
a)
Rational
b)
Irrational
50.

Classify the number -2.5

a)

Real, rational

b)

Real, rational, integer

c)

Real, irrational

51.
Classify the Number: -23
a)
Rational
b)
Real, rational, integer
c)
integer
d)
Real, irrational, whole
52.

How would 5/9 be classified?

a)

Real and rational

b)

Real, rational, integer

c)

Real and irrational

d)

Imaginary

53.

How would 0.333... be classified?

a)

Real and irrational

b)

Real only

c)

Imaginary only

d)

Real and rational

54.

Which statement is true?

a)

Every rational number is an integer.

b)

Every whole number is a counting number.

c)

Every integer is a whole number.

d)

Every whole number is a rational number.

55.

Which statement is NOT true?

a)

Every rational number is a real number.

b)

Every counting number is a whole number.

c)

Every integer is a rational number.

d)

Every decimal number is an irrational number.

56.
Classify 0
a)
Whole
b)
Integer
c)
Rational
d)
All of the above
57.
A fraction is which type of number?
a)
Rational
b)
Irrational
c)
Integer
d)
Whole
58.
A never ending decimal that doesn't repeat is which type of number?
a)
Rational 
b)
Irrational
c)
Integer
d)
Whole
59.

What categories describe this number?

a)

Rational, Integer

b)

Rational,Whole, Integer

c)

Irrational, Integer

d)

Real, Irrational

60.

Fill in the blank. An integer is ____________ rational.

a)

sometimes

b)

always

c)

never

d)

only on Mondays

61.
An example of an integer is...
a)
9.1
b)
8/9
c)
-9
d)
-2.3
62.

The numbers 0,1,2,3...are called?

a)

whole numbers

b)

integers

c)

rational numbers

d)

whole, integer, rational

63.

What is the best classification for this number? -4

a)

rational

b)

whole

c)

integer

d)

whole, integer, rational

64.

What is the best classification for this number? 10

a)

whole, integer, rational

b)

whole

c)

integer

d)

rational

65.

Numbers like -3,-2,-1,0,1,2,3 are called?

a)

whole numbers

b)

integers

c)

rational numbers

d)

All of the above

66.

What is the best classification for this number? 1/4

a)

integer

b)

rational

c)

whole, integer, rational

d)

whole

67.

What is the best classification for this number? .35

a)

whole

b)

rational

c)

whole, integer, rational

d)

real

68.
An example of an integer is...
a)
9.1
b)
8/9
c)
-9
d)
-2.3
69.

What is the best classification for this number? 0

a)

whole, integer, rational

b)

whole

c)

integer

d)

rational

70.
O is a whole number?
a)
True
b)
False
71.

What is the best classification for this number? .78787878...

a)

integer

b)

rational

c)

whole, integer, rational

d)

whole

72.
-10 is a whole number?
a)
True
b)
False 
73.

What is the best classification for this number? 8.14

a)

whole

b)

integer

c)

rational

d)

whole, integer, rational

74.
0.89 is a rational number?
a)
True
b)
False 
75.
A rational number is a number that can be written as a ...
a)
big number
b)
ratio or fraction
c)
letter
d)
taco
76.
-9 is an integer?
a)
True
b)
False
77.
A rational number can be written as a fraction?
a)
True
b)
False
78.
A whole number is...
a)
a big number
b)
a fraction
c)
a negative number
d)
a number with NO fractional part or decimal
79.
-3.5 is an integer?
a)
True
b)
False
80.

What is the best classification for this number? -4

a)

whole, integer, rational

b)

whole

c)

integer

d)

rational

81.
An integer is...
a)
a whole number (NOT fraction) that can be negative
b)
a fraction
c)
a decimal number
d)
fun!
82.
What is the best classification for this number?   -4
a)
natural
b)
whole
c)
integer
d)
rational
83.

What is the best classification for this number? 1/4

a)

integer

b)

rational

c)

natural number

d)

whole

84.

What is the best classification for this number? .35

a)

whole

b)

rational

c)

Integer

d)

natural number

85.

Classify the number (choose all that apply): -20

a)

natural number

b)

whole number

c)

integer

d)

rational number

86.

A whole number is an integer

a)

Always

b)

Sometimes

c)

Never

87.
A rational number can be written as a fraction?
a)
True
b)
False
88.
The numbers 0,1,2,3...are called?
a)
whole numbers
b)
integers
c)
rational numbers
d)
natural numbers
89.
-3.5 is an integer?
a)
True
b)
False
90.
Classify the number: -23
a)
Rational number
b)
Integer
c)
Whole number
d)
Natural number
91.

What is the best classification for this number? (how far down can you push this into the Venn Diagram)

-4

a)

none of these

b)

whole

c)

integer

d)

rational

92.

What is the best classification for this number? (how far down can you push this into the Venn Diagram)

10

a)

none of these

b)

whole

c)

integer

d)

rational

93.

What is the best classification for this number? (how far down can you push this into the Venn Diagram)

1/4

a)

integer

b)

rational

c)

none of these

d)

whole

94.

An example of a whole number is:

a)

4/9

b)

-9

c)

5.2

d)

17

95.

Which of the following is not an integer?

a)

0

b)

1.57

c)

-6

d)

10

96.

Where would you place -6?

a)

In the whole number circle because it's a whole number, integer, and rational number.

b)

In the integer circle because it's an integer and rational number only.

c)

In the rational circle because it's only a rational number.

d)

I'm not sure because I don't know what rational means.

97.

Give three examples of Natural Numbers greater than 10

4 lines
98.
The numbers 0,1,2,3...are called?
a)
whole numbers
b)
integers
c)
rational numbers
d)
natural numbers
99.
Numbers like -3,-2,-1,0,1,2,3 are called?
a)
whole numbers
b)
integers
c)
rational numbers
d)
natural numbers
100.
0.89 is a rational number?
a)
True
b)
False 
101.
√31
a)
Rational
b)
Irrational
102.

Real numbers consist of :

a)

Rational Numbers

b)

Irrational Numbers

c)

Arbitrary Numbers

103.
The numbers 0,1,2,3...are called?
a)
whole numbers
b)
integers
c)
rational numbers
d)
natural numbers
104.
Numbers like -3,-2,-1,0,1,2,3 are called?
a)
whole numbers
b)
integers
c)
rational numbers
d)
natural numbers
105.
6 is a rational number?
a)
True
b)
False
106.
-3.5 is an integer?
a)
True
b)
False
107.
A rational number can be written as a fraction?
a)
True
b)
False
108.

What kind of number is 9? (Select ALL that apply)

a)

natural (counting) number

b)

whole number

c)

integer

d)

rational number

109.

What kind of number is -7? (Select ALL that apply)

a)

natural (counting) number

b)

whole number

c)

integer

d)

rational number

110.

What kind of number is 3.8? (Select ALL that apply)

a)

natural (counting) number

b)

whole number

c)

integer

d)

rational number

111.

What kind of number is 350? (Select ALL that apply)

a)

natural (counting) number

b)

whole number

c)

integer

d)

rational number

112.

What kind of number is 0? (Select ALL that apply)

a)

natural (counting) number

b)

whole number

c)

integer

d)

rational number

113.

What kind of number is  37\frac{3}{7}  ? (Select ALL that apply). 

a)

natural (counting) number

b)

whole number

c)

integer

d)

rational number

114.

What kind of number is  112131\frac{12}{13}  ? (Select ALL that apply). 

a)

natural (counting) number

b)

whole number

c)

integer

d)

rational number

115.

What kind of number is  164-\frac{16}{4}  ? (Select ALL that apply). 

a)

natural (counting) number

b)

whole number

c)

integer

d)

rational number

116.

What kind of number is  155\frac{15}{5}  ? (Select ALL that apply). 

a)

natural (counting) number

b)

whole number

c)

integer

d)

rational number

117.

What kind of number is 22 ? (Select ALL that apply). 

a)

natural (counting) number

b)

whole number

c)

integer

d)

rational number

118.

Which sets would the number 1.2 fit in the Venn diagram?

a)

Rational Numbers

b)

Integers

c)

Whole Numbers

119.

Where would the number 2122\frac{1}{2}   fit in the Venn diagram

a)

Rational Numbers

b)

Integers

c)

Whole Numbers

120.

Where would the number -3 fit in the Venn diagram?

a)

Rational Numbers

b)

Integers

c)

Whole Numbers

121.

Where would the number -4.5 fit in the Venn diagram?

a)

Rational Numbers

b)

Integers

c)

Whole Numbers

122.

Where would the number -13 fit in the Venn diagram?

a)

Rational Numbers

b)

Integers

c)

Whole Numbers

123.

Where would the number 16\frac{1}{6}   fit in the Venn diagram

a)

Rational Numbers

b)

Integers

c)

Whole Numbers

124.

Where would the number 0 fit in the Venn diagram?

a)

Rational Numbers

b)

Integers

c)

Whole Numbers

125.

Where would the number 0.99 fit in the Venn diagram?

a)

Rational Numbers

b)

Integers

c)

Whole Numbers

126.

Where would the number -6.7 fit in the Venn diagram?

a)

Rational Numbers

b)

Integers

c)

Whole Numbers

127.

Where would the number 34 fit in the Venn diagram?

a)

Rational Numbers

b)

Integers

c)

Whole Numbers

128.

Where would the number 1412-14\frac{1}{2}   fit in the Venn diagram

a)

Rational Numbers

b)

Integers

c)

Whole Numbers

129.
A rational number is a number that can be written as a ...
a)
big number
b)
ratio or fraction
c)
letter
d)
taco
130.
An example of a whole number is:
a)
4/9
b)
-9
c)
5.2
d)
17
131.
A whole number is...
a)
a big number
b)
a fraction
c)
a negative number
d)
a number with NO fractional part or decimal
132.
An integer is...
a)
a whole number (NOT fraction) that can be negative
b)
a fraction
c)
a decimal number
d)
fun!
133.
An example of an integer is...
a)
9.1
b)
8/9
c)
-9
d)
-2.3
134.
a)
Yes
b)
No
135.
a)
Yes
b)
No
136.

Choose all the irrational numbers.

a)

5

b)

π\pi  

c)

16\sqrt[]{16}  

d)

5\sqrt[]{5}  

e)

1.61.\overline{6}  

137.

Some numbers fall into multiple categories.

What type of number is 25?

(select ALL that apply)

a)

Rational

b)

Irrational

c)

Natural Number

d)

Whole Number

e)

Integer

138.

Which of the following numbers are integers?

(select ALL that apply)

a)

0

b)

-8

c)

-4.5

d)

7

e)

13\frac{1}{3}  

139.

What type of number is 53-\frac{5}{3}  ?

(select ALL that apply)

a)

Rational

b)

Irrational

c)

Natural Number

d)

Whole Number

e)

Integer

140.

What type of number is 8\sqrt[]{8}  ?

(select ALL that apply)

a)

Rational

b)

Irrational

c)

Natural Number

d)

Whole Number

e)

Integer

141.

The numbers 0,1,2,3...are called?

a)

whole numbers

b)

integers

c)

rational numbers

d)

natural numbers

142.

Numbers like -3,-2,-1,0,1,2,3 are called?

a)

whole numbers

b)

integers

c)

rational numbers

d)

natural numbers

143.

An example of an integer is...

a)

9.1

b)

8/9

c)

-9

d)

-2.3

144.

A rational number can be written as a fraction?

a)

True

b)

False

145.

Classify the number (choose all that apply): 0

a)

natural number

b)

whole number

c)

integer

d)

rational number

e)

irrational number

146.

Classify the number (choose all that apply): 3/4

a)

negative number

b)

whole number

c)

integer

d)

rational number

147.

Classify the number (choose all that apply): 9

a)

natural number

b)

whole number

c)

integer

d)

rational number

e)

irrational number

148.

Classify the number (choose all that apply): -20

a)

natural number

b)

whole number

c)

integer

d)

rational number

e)

irrational number

149.

Classify the number (choose all that apply):

a)

natural number

b)

whole number

c)

integer

d)

rational number

e)

irrational number

150.

A rational number is a number that can be written as a ...

a)

multiplication problem

b)

any number that can be expressed as a fraction

c)

algebraic expression

d)

a type of food

151.

How would 0.333... be classified?

a)

Real and irrational

b)

Real only

c)

Imaginary only

d)

Real and rational

152.

What is the best classification for this number? .78787878...

a)

integer

b)

rational

c)

irrational

d)

whole

153.

What is the best classification for this number?

π

a)

integer

b)

rational

c)

irrational

d)

imaginary

154.

An integer is an irrational number

a)

Always

b)

Sometimes

c)

Never

155.

A whole number is an integer

a)

Always

b)

Sometimes

c)

Never

156.

A real number is an irrational number

a)

Always

b)

Sometimes

c)

Never

157.

A rational number is a real number

a)

Always

b)

Sometimes

c)

Never