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Worksheets

Rational and Irrational

Total questions: 103

Worksheet time: 4hrs 4mins

Name
Class
Date
1.
What is a rational number ?
a)
A rational number  is a number that cannot be written as a fraction.
b)
A rational number is a number that can be written as a fraction.
c)
A rational number cannot be a repeating  decimal.
2.
Which number is a rational number ?
a)
1/4
b)
π
c)
√3
d)
∛25
3.
-17.565
a)
Rational
b)
Irrational
4.
.141414141414...
a)
Rational 
b)
Irrational 
5.
The decimal of an irrational number doesn't repeat with a pattern.
a)
true
b)
false
6.
A fraction is which type of number?
a)
Rational
b)
Irrational
7.
.141414141414...
a)
Rational 
b)
Irrational 
8.
Which set is in descending order?
a)
15%  .45  9/10
b)
.45  15%  9/10
c)
9/10  15%  .45
d)
9/10  .45  15%
9.
Fractions are shown.  
1/3, 1/4, 5/8 
Order the fractions from least to greatest.
a)
1/4, 5/8, 1/3
b)
1/4, 1/3, 5/8 
c)
5/8, 1/3, 1/4
d)
1/3, 1/4, 5/8
10.
Paige rode her bike 4/5 mile. Megan rode her bike 1/3 mile.   Which statement is true?
a)
4/5=1/3
b)
4/5 > 1/3 
c)
1/3 > 4/5
d)
4/5 < 1/3 
11.
The numbers 0, 1, 2, 3, ... are called
a)
whole numbers
b)
integers
c)
rational numbers
d)
natural numbers
12.
Numbers like -3, -2, -1, 0, 1, 2, 3 are called
a)
whole numbers
b)
integers
c)
rational numbers
d)
natural numbers
13.
A rational number can be written as a fraction.
a)
True
b)
False
14.
-10 is a whole number
a)
True
b)
False
15.
-3.5 is an integer
a)
True
b)
False
16.
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
17.
Reduce the following fraction:
16/20 =
a)
8/10
b)
4/5
c)
1/2
d)
16/20
18.
Reduce the following fraction:
36/44
a)
9/11
b)
6/7
c)
4/9
d)
18/22
19.
Solve:
-6 x (-5)
a)
-30
b)
36
c)
30
d)
-36
20.
Reduce the following fraction:
25/55
a)
2.5/5.5
b)
1/3
c)
5/11
d)
3/5
21.
Reduce to the lowest terms
8/10=
a)
1/4
b)
3/4
c)
4/5
d)
6/8
22.
Reduce to the lowest terms
8/24=
a)
1/8
b)
1/4
c)
1/6
d)
2/12
23.
Reduce to the lowest terms
3/12=
a)
3/6
b)
2/6
c)
1/4
d)
1/6
24.
Reduce to the lowest terms
8/16=
a)
1/8
b)
1/2
c)
2/4
d)
4/8
25.
Reduce to the lowest terms
8/16=
a)
1/8
b)
1/2
c)
2/4
d)
4/8
26.
Reduce to the lowest terms
6/18=
a)
1/12
b)
1/4
c)
1/3
d)
2/9
27.
Reduce to the lowest term
7/21=
a)
1/3
b)
2/3
c)
3/3
d)
3/7
28.
Reduce to the lowest terms
15/18=
a)
1/2
b)
4/7
c)
5/7
d)
5/6
29.
Reduce to the lowest terms
9/27=
a)
4/5
b)
2/4
c)
1/4
d)
1/3
30.
Reduce to the lowest terms
10/30=
a)
1/3
b)
5/15
c)
1/5
d)
1/2
31.
Reduce to the lowest terms
2/8=
a)
2/4
b)
1/4
c)
1/8
d)
1/6
32.
Convert the following decimal to a fraction in simplest form.
0.6
a)
6/9
b)
3/5
c)
1/6
d)
0/6
33.
Convert the following decimal to a fraction in simplest form.
0.9
a)
1/9
b)
1/6
c)
1/3
d)
9/10
34.
Convert the following decimal to a fraction in simplest form.
0.11
a)
11/100
b)
1/11
c)
11/10
d)
1/1
35.
Convert the following decimal to a fraction in simplest form.
0.45
a)
4/5
b)
45/10
c)
9/20
d)
9/25
36.
Convert the following decimal to a fraction in simplest form.
0.79
a)
7/9
b)
79/100
c)
21/50
d)
19/25
37.
Convert the following decimal to a fraction in simplest form.
0.25
a)
2/5
b)
1/2
c)
1/4
d)
1/5
38.
Convert the following decimal to a fraction in simplest form.
0.5
a)
5/9
b)
1/8
c)
2/10
d)
1/2
39.
Convert the following decimal to a fraction in simplest form.
0.75
a)
3/4
b)
5/7
c)
7/5
d)
75/99
40.
Convert the following decimal to a fraction in simplest form.
0.1
a)
1/2
b)
1/10
c)
10/10
d)
1/5
41.
Convert the following decimal to a fraction in simplest form.
0.2
a)
1/2
b)
1/3
c)
1/4
d)
1/5
42.
1/3  as a decimal :
a)
.25
b)
.75
c)
.45
d)
.33
43.
1/2 as a decimal :
a)
.55
b)
.20
c)
.50
d)
.80
44.
2/3 as a decimal:
a)
.66
b)
.23
c)
.78
d)
.50
45.
1/4 a a decimal: 
a)
.90
b)
.80
c)
.25
d)
.15
46.
3/4 as a decimal:
a)
.75
b)
.80
c)
.50
d)
.25
47.
1/10 as a decimal: 
a)
.9
b)
.10
c)
.11
d)
.100
48.
1/8 as a decimal: 
a)
.13
b)
.785
c)
.125
d)
.18
49.
1/5 as a decimal: 
a)
.20
b)
.80
c)
.50
d)
.14
50.
3/5 as a decimal: 
a)
.40
b)
.20
c)
.60
d)
.70
51.
3/5 as a decimal: 
a)
.40
b)
.20
c)
.60
d)
.70
52.
3/8 as a decimal: 
a)
.215
b)
.375
c)
.537
d)
.80
53.
5/8 as a decimal: 
a)
.375
b)
.126
c)
.125
d)
.625
54.
.125 is what fraction? 
a)
1/8
b)
1/2
c)
1/3
d)
1/4
55.
.50 is what as a fraction?
a)
1/3
b)
1/4
c)
1/2
d)
1/8
56.
.75 is what as a fraction?
a)
3/4
b)
1/5
c)
2/5
d)
1/2
57.
.375 is what as a fraction?
a)
2/3
b)
1/5
c)
1/8
d)
3/8
58.
- 7 + 1 = 
a)
6
b)
8
c)
-6
d)
-8
59.
-3 + (-11)
a)
-14
b)
14
c)
-8
d)
8
60.
12 + -14 = ?
a)
26
b)
-26
c)
2
d)
-2
61.
-12 + 9
a)
21
b)
3
c)
-3
d)
-21
62.
-2 + 4 
a)
-2
b)
2
c)
0
d)
-4
63.
1 - (-4)
a)
3
b)
-3
c)
5
d)
-5
64.
-8 - 6
a)
-2
b)
2
c)
-14
d)
14
65.
14 - 20
a)
34
b)
-6
c)
6
d)
-11
66.
5 - (-12)
a)
-7
b)
7
c)
17
d)
-17
67.
8 - 12
a)
4
b)
-4
c)
-6
d)
-8
68.
(-4)(6) 
a)
-24
b)
24
69.
(-9)(-8)
a)
-72
b)
72
70.
12 x -4
a)
-24
b)
-36
c)
-60
d)
-48
71.
-3(-4)
a)
-12
b)
c)
-7
d)
12
72.
-30/-10=
a)
-30
b)
-3
c)
3
d)
30
73.
-20/5=
a)
-4
b)
4
c)
-100
d)
100
74.
-20/5
a)
4
b)
-4
c)
-15
d)
14
75.
-55/11
a)
-44
b)
44
c)
5
d)
-5
76.
(-25) ÷ (-5)
a)
5
b)
-5
c)
-20
d)
-30
77.
 -2 - (-8)
a)
6
b)
-6
c)
-10
d)
10
78.
-7 / -7
a)
-7
b)
-14
c)
1
d)
-1
79.
0 - 16
a)
16
b)
0
c)
-16
d)
5
80.
Find the sum.
-89 + (-11)
a)
100
b)
-100
c)
78
d)
-78
81.
Find the sum.
45 + (-32)
a)
13
b)
-13
c)
77
d)
-77
82.
Find the sum.
17 + (-17)
a)
34
b)
-34
c)
0
d)
24
83.
Find the sum.
-42 + 26
a)
-24
b)
-68
c)
16
d)
-16
84.
Find the sum.
-25 + (-28)
a)
-43
b)
-3
c)
53
d)
-53
85.
Find the difference.
-11 - 16
a)
-5
b)
-27
c)
5
d)
27
86.
Find the difference.
24 - (-17)
a)
31
b)
7
c)
-41
d)
41
87.
Find the difference.
-8 - (-14)
a)
6
b)
-6
c)
-22
d)
22
88.
Find the difference.
12 - 15
a)
3
b)
27
c)
-27
d)
-3
89.
Find the product.
19(-3)
a)
-57
b)
57
c)
-37
d)
-22
90.
(-9)(-8)
a)
-72
b)
72
91.

6×7

a)

42

b)

52

c)

48

d)

49

92.

-5 × 1

a)

-5

b)

5

c)

6

d)

-6

93.

-7 × 10 =

a)

70

b)

700

c)

-70

d)

-700

94.

0 × (-2)

a)

0

b)

-2

c)

-0

d)

2

95.

20 ÷ 5=

a)

-4

b)

4

c)

-100

d)

100

96.

20 ÷ 5=

a)

-4

b)

4

c)

-100

d)

100

97.

20 ÷ (-1)

a)

-20

b)

-19

c)

19

d)

21

98.

(-16) ÷ 4

a)

-4

b)

3

c)

4

d)

-12

99.

(-24) ÷ (-6)

a)

3

b)

4

c)

-3

d)

-4

100.
-30/-10=
a)
-30
b)
-3
c)
3
d)
30
101.
-72 divided by -8
a)
-9
b)
9
c)
6
d)
-12
102.
When multiplying or dividing a NEGATIVE and POSITIVE number your result will be...
a)
Positive
b)
Negative
c)
Depends on which is bigger.
103.
When you divide a positive by a positive your answer will be ___________.
a)
positive
b)
negative 
c)
zero
d)
green