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Worksheets

Classifying Rational Numbers

Total questions: 168

Worksheet time: 10hrs 1mins

Name
Class
Date
1.

Which of the following are integers?

a)

8

b)

-3

c)

-8

d)

410\frac{4}{10}  

2.

Is 2 a natural number?

a)

True

b)

False

3.

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}  

4.

Which of the following is a whole number?

a)

-2

b)

-10

c)

10

d)

-1

5.

Which of the following are whole numbers?

a)

0

b)

78\frac{7}{8}  

c)

13\frac{1}{3}  

d)

3

6.

Is 40.111... an integer?

a)

Yes

b)

No

7.

Which of the following are rational numbers?

a)

64

b)

15

c)

74\frac{7}{4}  

d)

7.452

8.

Which of the following is an integer?

a)

58

b)

85\frac{8}{5}  

c)

15\sqrt[]{15}  

d)

83.756

9.

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

a)

Yes

b)

No

10.

Which of the following is a rational number?

a)

75\sqrt[]{75}  

b)

95.395.\overline{3}  

c)

44\sqrt[]{44}  

d)

π\pi  

11.

Which of the following are whole numbers?

a)

79

b)

4849\frac{48}{49}  

c)

26

d)

22 1422\ \frac{1}{4}  

12.

Is 23 a rational number?

a)

Yes

b)

No

13.

Which of the following are natural numbers?

a)

97

b)

31

c)

94

d)

45.333....

14.

Which of the following describe 77?

Select all that apply.

a)

irrational number

b)

rational number

c)

natural number

d)

whole number

e)

integer

15.

Which of the following describe 91?

Select all that apply.

a)

irrational number

b)

rational number

c)

natural number

d)

whole number

e)

integer

16.

Which of the following are whole numbers?

a)

0

b)

78

c)

35

d)

-88

17.
-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.
18.
Which word does NOT describe 5?
a)
Whole
b)
Integer
c)
Rational
d)
Irrational
19.
Classify 3
a)
Whole, Integer, Rational
b)
Whole, Rational
c)
Integer
d)
Rational
20.
Classify the Number: 120
a)
Whole, integers rational
b)
rational
c)
whole
d)
Whole, integer
21.
How would 5/9 be classified?
a)
rational 
b)
whole and integer
c)
only integer
d)
only whole
22.
How would 0.333333 be classified?
a)
rational only
b)
whole
c)
only integer 
d)
integer and rational
23.

-14 could NOT be which type of number? Why? Explain on your paper.

a)

Integer

b)

Whole

c)

Rational

24.
Classify 0
a)
Whole
b)
Integer
c)
Rational
d)
All of the above
25.
Which statement is true?
a)
Every rational number is an integer
b)
Every whole number is a rational number but not an integer
c)
Every integer is a whole number
d)
Every whole number is a rational number
26.
Which number is an integer?
a)
½
b)
1.65
c)
-4
d)
3 ¾
27.
The number -8 belongs to what number set(s)?
a)
Whole only
b)
Integer only
c)
Rational only
d)
Integer and Rational
28.

Does this graphic organizer correctly group the numbers? If not, explain the error on your paper? STAAR

a)

Yes

b)

No

29.

Explain the error on your paper. STAAR

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.

30.

Does the graphic organizer correctly group the numbers? If not, explain the error on your paper. STAAR

a)

Yes

b)

No

31.
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.
32.
Classify the number: 10/2
a)
Rational only
b)
Rational and Integer
c)
Whole Number, Integer, and Rational
d)
Whole Number and Integer only
33.

Which number would be located in the shaded area of the diagram? STAAR

a)

-1.7

b)

-8

c)

0.66

d)

10

34.

Which of these numbers can be placed in the shaded area of the diagram? On your paper place the answer choices in the correct part of the diagram. STAAR

a)

-5

b)

3.5

c)

1/2

d)

Not Here

35.

Which diagram best represents the relationship among integers, rational numbers, and whole numbers? 7th grade STAAR

a)
b)
c)
d)
36.

Select all of the classifications that the number 45 belongs to.

a)

Rational Number

b)

Integer

c)

Whole Number

37.

Select all of the classifications that ¾ belongs to.

a)

Rational Number

b)

Integer

c)

Whole Number

38.

Select all of the classifications that -4 belongs to.

a)

Rational Number

b)

Integer

c)

Whole Number

39.

Select all of the classifications that -⅛ belongs to.

a)

Rational Number

b)

Integer

c)

Whole Number

40.
-10 is a whole number?
a)
True
b)
False 
41.
0.89 is a rational number?
a)
True
b)
False 
42.
O is a whole number?
a)
True
b)
False
43.
-9 is an integer?
a)
True
b)
False
44.
-3.5 is an integer?
a)
True
b)
False
45.

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

46.

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

47.
A rational number can be written as a fraction?
a)
True
b)
False
48.

Which of the following is not an integer?

a)

0

b)

1.57

c)

-6

d)

10

49.
a)

Yes

b)

No

50.
a)

Yes

b)

No

51.

a)

A

b)

B

c)

C

d)

D

52.

a)

A

b)

B

c)

C

d)

D

53.

a)

A

b)

B

c)

C

d)

D

54.

a)

A

b)

B

c)

C

d)

D

55.

a)

A

b)

B

c)

C

d)

D

56.

a)

A

b)

B

c)

C

d)

D

57.

a)

A

b)

B

c)

C

d)

D

58.

a)

A

b)

B

c)

C

d)

D

59.

a)

A

b)

B

c)

C

d)

D

60.

a)

A

b)

B

c)

C

d)

D

61.

a)

A

b)

B

c)

C

d)

D

62.

a)

A

b)

B

c)

C

d)

D

63.

a)

A

b)

B

c)

C

d)

D

64.

a)

A

b)

B

c)

C

d)

D

65.

a)

A

b)

B

c)

C

d)

D

66.

a)

A

b)

B

c)

C

d)

D

67.

a)

A

b)

B

c)

C

d)

D

68.

a)

A

b)

B

c)

C

d)

D

69.

a)

A

b)

B

c)

C

d)

D

70.

a)

A

b)

B

c)

C

d)

D

71.

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

a)

Rational Numbers

b)

Integers

c)

Whole Numbers

72.

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

a)

Rational Numbers

b)

Integers

c)

Whole Numbers

73.

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

a)

Rational Numbers

b)

Integers

c)

Whole Numbers

74.

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

a)

Rational Numbers

b)

Integers

c)

Whole Numbers

75.

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

a)

Rational Numbers

b)

Integers

c)

Whole Numbers

76.

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

a)

Rational Numbers

b)

Integers

c)

Whole Numbers

77.

Where would the number 0 fit in the Venn diagram?

a)

Rational Numbers

b)

Integers

c)

Whole Numbers

78.

Where would the number 0.99 fit in the Venn diagram?

a)

Rational Numbers

b)

Integers

c)

Whole Numbers

79.

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

a)

Rational Numbers

b)

Integers

c)

Whole Numbers

80.

Where would the number 34 fit in the Venn diagram?

a)

Rational Numbers

b)

Integers

c)

Whole Numbers

81.

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

a)

Rational Numbers

b)

Integers

c)

Whole Numbers

82.

Where would -3 belong to?

a)

Whole

b)

Integer

c)

Rational

d)

None of the above

83.

Where would 84\frac{8}{4} belong to?

a)

Whole

b)

Integer

c)

Rational

d)

None of the above.

84.

What are ALL of the classifications for 120

a)

Whole, integers rational

b)

rational

c)

whole

d)

Whole, integer

85.

How would 59\frac{5}{9} be classified?

a)

rational 

b)

whole and integer

c)

only integer

d)

only whole

86.
Which statement is true?
a)
Every rational number is an integer
b)
Every whole number is a rational number but not an integer
c)
Every integer is a whole number
d)
Every whole number is a rational number
87.

Which number is an integer?

a)

½

b)

1.65

c)

41-\frac{4}{1}

d)

3 ¾

88.
The number -8 belongs to what number set(s)?
a)
Whole only
b)
Integer only
c)
Rational only
d)
Integer and Rational
89.

Does this graphic organizer correctly group the numbers?

a)

Yes

b)

No

90.

What errors are in the diagram?

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.

91.

Does the graphic organizer correctly group the numbers?

a)

Yes

b)

No

92.

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

a)

Rational Numbers

b)

Integers

c)

Whole Numbers

93.

Where would the number 0.99 fit in the Venn diagram?

a)

Rational Numbers

b)

Integers

c)

Whole Numbers

94.
-10 is a whole number?
a)
True
b)
False 
95.
0.89 is a rational number?
a)
True
b)
False 
96.
-9 is an integer?
a)
True
b)
False
97.
-3.5 is an integer?
a)
True
b)
False
98.

Which of the following is not an integer?

a)

0

b)

1.57

c)

-6

d)

10

99.
a)

Yes

b)

No

100.
a)

Yes

b)

No

101.

Which diagram best represents the relationship among integers, rational numbers, and whole numbers? 7th grade STAAR

a)
b)
c)
d)
102.

Select all of the classifications that -4 belongs to.

a)

Rational Number

b)

Integer

c)

Whole Number

103.

Select all of the classifications that -⅛ belongs to.

a)

Rational Number

b)

Integer

c)

Whole Number

104.

Select all of the classifications that the number 45 belongs to.

a)

Rational Number

b)

Integer

c)

Whole Number

105.
A rational number can be written as a fraction?
a)
True
b)
False
106.
-9 is an integer?
a)
True
b)
False
107.
-3.5 is an integer?
a)
True
b)
False
108.

16 is a

a)

Real Number

b)

Rational Number

c)

Integer

d)

Whole Number

109.
0.8 is a rational number
a)
True
b)
False
110.
What is the best classification for this number?   -4
a)
natural
b)
whole
c)
integer
d)
rational
111.

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

a)

integer

b)

rational

c)

natural number

d)

whole

112.

What is the best classification for this number? .35

a)

whole

b)

rational

c)

Integer

d)

natural number

113.

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

a)

natural number

b)

whole number

c)

integer

d)

rational number

114.

A whole number is an integer

a)

Always

b)

Sometimes

c)

Never

115.
A rational number can be written as a fraction?
a)
True
b)
False
116.
The numbers 0,1,2,3...are called?
a)
whole numbers
b)
integers
c)
rational numbers
d)
natural numbers
117.
-3.5 is an integer?
a)
True
b)
False
118.

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

119.

An example of a whole number is:

a)

4/9

b)

-9

c)

5.2

d)

17

120.

Which of the following is not an integer?

a)

0

b)

1.57

c)

-6

d)

10

121.
The numbers 0,1,2,3...are called?
a)
whole numbers
b)
integers
c)
rational numbers
d)
natural numbers
122.
Numbers like -3,-2,-1,0,1,2,3 are called?
a)
whole numbers
b)
integers
c)
rational numbers
d)
natural numbers
123.
A rational number can be written as a fraction?
a)
True
b)
False
124.
-10 is a whole number?
a)
True
b)
False 
125.
0.89 is a rational number?
a)
True
b)
False 
126.
O is a whole number?
a)
True
b)
False
127.
-9 is an integer?
a)
True
b)
False
128.
6 is a rational number?
a)
True
b)
False
129.
-3.5 is an integer?
a)
True
b)
False
130.

Classify the number

CHOOSE ALL THAT APPLY


3/4

a)

negative number

b)

whole number

c)

integer

d)

rational number

131.

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

132.

An example of a whole number is:

a)

4/9

b)

-9

c)

5.2

d)

17

133.

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

134.

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.

135.

What is the best classification for this number? 10

a)

whole, integer, rational

b)

whole

c)

integer

d)

rational

136.
An example of an integer is...
a)
9.1
b)

89\frac{8}{9}  

c)
-9
d)
-2.3
137.
A rational number is a number that can be written as a ...
a)
big number
b)
ratio or fraction
c)
letter
d)
taco
138.

-705 is an integer?

a)
True
b)
False
139.
-3.5 is an integer?
a)
True
b)
False
140.

An example of a whole number is:

a)

49\frac{4}{9}  

b)

-9

c)

5.2

d)

17

141.

Which of the following is NOT an integer?

a)

0

b)

1.57

c)

-6

d)

10

142.
a)

Yes

b)

No

143.
a)

Yes

b)

No

144.

Choose the most specific classification for the following number: 3

a)

Whole

b)

Natural

c)

Integer

d)

Rational

145.

Choose the most specific classification for the following number: -10.0

a)

Whole

b)

Rational

c)

Natural

d)

Integer

146.

How would 5/9 be classified?

a)

rational

b)

whole and integer

c)

only integer

d)

only whole

147.
How would 0.333333 be classified?
a)
rational only
b)
whole
c)
only integer 
d)
integer and rational
148.

Choose the most specific classification for the following number: 0

a)

Whole

b)

Integer

c)

Rational

d)

Natural

149.
Which statement is true?
a)
Every rational number is an integer
b)
Every whole number is a rational number but not an integer
c)
Every integer is a whole number
d)
Every whole number is a rational number
150.
Which number is an integer?
a)
½
b)
1.65
c)
-4
d)
3 ¾
151.
The number -8 belongs to what number set(s)?
a)
Whole only
b)
Integer only
c)
Rational only
d)
Integer and Rational
152.

Does this graphic organizer correctly group the numbers?

a)

Yes

b)

No

153.

Explain the error.

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.

154.

Choose the most specific classification for the following number: 10/2

a)

Natural

b)

Rational

c)

Whole

d)

Integer

155.

Which number would be located in the shaded area of the diagram only?

a)

-1.7

b)

-8

c)

0.66

d)

10

156.

Which of these numbers can be placed in the shaded area of the diagram?

a)

-5

b)

3.5

c)

1/2

d)

Not Here

157.

Which diagram best represents the relationship among integers, rational numbers, and whole numbers?

a)
b)
c)
d)
158.

A whole number is an integer

a)

Always

b)

Sometimes

c)

Never

159.

An integer is an irrational number

a)

Always

b)

Sometimes

c)

Never

160.

A natural number is a whole number

a)

Always

b)

Sometimes

c)

Never

161.

Which Venn diagram best represents the relationship among integers, natural numbers, rational numbers, and whole numbers?

a)
b)
c)
d)
162.

Set A represents rational numbers. Set B represents integers. Which diagram shows the numbers placed in correct sets?

a)
b)
c)
d)
163.

Rachel states that -5.5 is an integer because it is negative.

Is she correct?

Why or why not?

a)

Yes, because all negatives are integers.

b)

Yes, because all integers have decimals.

c)

No, because integers do not have decimals.

d)

No, because integers cannot be negative.

164.
-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.
165.
A rational number:
a)
can be turned into a fraction.
b)
is only positive.
c)
can't have a decimal.
d)
is not a real number.
166.
Which number is an irrational number?
a)
2.5
b)
5.72314.....
c)
-17
d)
1/2
167.

(Choose all correct answers)

1215-1\frac{2}{15}  is a(n)...

a)

whole number

b)

integer

c)

rational number

d)

none of these

168.

0.70.\overline{7}   is what type of number? (Check all classifications that apply)

a)

rational

b)

whole

c)

integer

d)

irrational