wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Real Number System, Integers, and Conversions

Total questions: 68

Worksheet time: 3hrs 1mins

Name
Class
Date
1.
What type of number is  ⅛
a)
whole 
b)
rational
c)
irrational
d)
integers
2.
3 is what type of number
a)
whole, integer, and rational
b)
integer
c)
integer and rational
d)
rational number
3.

Which of these rational numbers is equal to an integer?

a)

1514-\frac{15}{14}

b)

1510-\frac{15}{10}

c)

155-\frac{15}{5}

d)

154-\frac{15}{4}

4.
All Integers are whole numbers
a)
true
b)
false
5.
Which statement is NOT true?
a)
Every rational number is also a whole number.
b)
Every counting number is a whole 
c)
Every integer is a rational number.
d)
Every whole number is an integer number.
6.

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

a)

Rational Numbers

b)

Integers

c)

Whole Numbers

7.

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

a)

Rational Numbers

b)

Integers

c)

Whole Numbers

8.
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.
9.

12 + (-7) + 3 + (-8) =

(a)  

10.

5x9-5+2

a)

40

b)

41

c)

6

d)

42

11.

(-10) +7

a)

3

b)

7

c)

17

d)

21

12.

8-(-3) + 6

a)

6

b)

7

c)

10

d)

17

13.

The minimum temperature in Stanthorpe was -50C. On the same day in Cairns the minimum temperature was 170C.

Calculate the temperature difference.

a)

120C

b)

-120C

c)

220C

d)

5oC

14.
(-25) ÷ (-5)
a)
5
b)
-5
c)
-20
d)
-30
15.
Find the Absolute Value of -18
a)
18
b)
-18
c)
36
d)
-36
16.
What is the opposite of 3?
a)
-3
b)
0
c)
3
d)
1/3
17.
The absolute value of |3| is -3.
a)
True
b)
False
18.
|-20|
a)
20
b)
-20
19.
Order from least to greatest:
[10, -5, 3, 16, -1, 0, 1]
a)
-1, -5, 0, 1, 3, 10, 16
b)
16, 10, 3, 1, 0, -1, -5
c)
-5, -1, 0, 1, 3, 10, 16
d)
0, -1, 1, 3, -5, 10, 16
20.
Compare:  -3  ?  -5
a)
>
b)
<
c)
=
21.
Compare:  6  ?  -3
a)
=
b)
>
c)
<
22.
Compare these Integers using the symbols:
<  >   =
| -13 |  ____  | 4 |
a)
<
b)
>
c)
=
23.
Order from least to greatest:
[-100, -89, -90, -87, -99]
a)
-87, -89, -90, -99, -100
b)
-100, -99, -89, -90, -87
c)
-100, -99, -90, -89, -87
d)
-90, -87, -89, -99, -100
24.
-3 - (-6) =
a)
12
b)
6
c)
3
25.
(-4)(-5)
a)
-9
b)
-20
c)
9
d)
20
26.
-12 ÷ 3
a)
-4
b)
9
c)
4
d)
-9
27.
Which integer represents a withdrawal from your bank account of $50
a)
-$50
b)
$50
c)
+$50
28.
Which of the following is not an integer?
a)
-9
b)
0
c)
8.2
d)
563
29.
8 * (-5) =
a)
-40
b)
-13
c)
40
d)
-3
30.
-36/6 =
a)
6
b)
-6
c)
32
d)
-32
31.
24/(-6) =
a)
4
b)
18
c)
-4
d)
-18
32.
Convert to a fraction 0.17
a)
17/100
b)
17/1000
c)
17/10,000
d)
17/10
33.
Convert 4/5 to a decimal
a)
0.45
b)
0.80
c)
0.40
d)
0.54
34.
Convert 0.25 into a fraction and simplify.
a)
5/20
b)
1/4
c)
4/50
d)
1/5
35.
Change 0.67 to a percent
a)
67%
b)
0.0067%
c)
0.67%
d)
670%
36.
Write the percent as a decimal:
135%
a)
13.5
b)
0.0135
c)
0.135
d)
1.35
37.

400 grams =____kilograms

a)

0.4kg

b)

4kg

c)

40kg

d)

40,000kg

38.
80 oz = ____ lbs 
a)
4 lbs
b)
400 lbs
c)
5 lbs
39.
Keisha’s project requires 5 meters of ribbon. She already has 2 meters of ribbon. About how many more feet of ribbon does Keisha need? (One meter is approximately 3.3 feet.)
a)
1 foot
b)
3 feet
c)
6 feet
d)
10 feet
40.
How tall am I in inches if I am 5'4"?
a)
60
b)
64
c)
108
d)
53
41.
7 feet = ___ inches
a)
144 inches
b)
49 inches
c)
84 inches
d)
19 inches
42.
A fruit box containes 6% juice.  How is this percent written as a decimal?
a)
0.06
b)
0.60
43.
The students in PE have spent 17/20 of their class period playing basketball.  What decimal is equivalent to 17/20?
a)
0.80
b)
0.85
44.
The model shown best represents what percent?
a)
65%
b)
55%
c)
74%
d)
64%
45.
What percent best represents the shaded portion of the model shown?
a)
50%
b)
35%
c)
7%
d)
70%
46.
5/8 as a decimal
a)
0.58
b)
0.625
c)
0.875
d)
0.375
47.
Which expresses the fraction ⅔ as a decimal?
a)
2.3
b)
0.3
c)
0.6
d)
0.6666...
48.
0.4 as a fraction
a)
4/100
b)
2/5
c)
1/4
d)
1/8
49.
9/10 as a decimal
a)
0.9
b)
0.09
c)
.910
d)
90%
50.
What is 2/100 as a decimal?
a)
2.0
b)
0.2
c)
0.02
d)
2.222
51.
A type of medicine is given in a 100 miligram dosage.  The medicine comes in a  12 gram bottle. How many 100 milligram doses are in a bottle?
a)
1200
b)
.12
c)
120
d)
12,000
52.
Michael is helping the school play by measuring fabric for the costumes. He needs 11.5 yards of fabric.  He has 13.5 feet. How many more feet of fabric does he need?
a)
34.5 feet
b)
21 feet
c)
25 yards
d)
2 feet
53.
Convert 5 cm to mm:
a)
5,000mm
b)
0.5 mm
c)
0.05 mm
d)
50 mm
54.
490,000 g =____ kg
a)
490
b)
49
c)
4,900
d)
0.49
55.
Is 20 g greater than, less than, or equal to 2 kg?
a)
greater than
b)
less than
c)
equal to
56.
Is 4,000 mg greater than, less than, or equal to 4 g?
a)
greater than
b)
less than
c)
equal to
57.
Ava fills a watering can with 2 gallons 1 quart of water.  She uses 6 quarts of water on her plants.  How many quarts of water remain in the watering can?
a)
8 quarts
b)
2 quarts
c)
3 quarts
d)
6 quarts
58.
John rode 2 kilometers on his bike. His sister Sally rode 3000 meters on her bike. Who rode the farthest and how much farther did they ride (answer in km)?
a)
John rode 1km further.
b)
Sally rode 100km further.
c)
Sally rode 1km further.
d)
John rode 10km further.
59.
Lois wants to send a box of oranges to a friend by mail. The box of oranges cannot exceed a mass of 10 kg. If each orange has a mass of 200g, what is the maximum number she can send?
a)
5 oranges
b)
50 oranges
c)
500 oranges
d)
5,000 oranges
60.

Convert 120 ft = _________yd

a)

4 yd

b)

40 yd

c)

36 yd

d)

360 yd

61.

Convert 2.1 mm = _______cm

a)

21 cm

b)

0.21 cm

c)

210 cm

d)

0.021 cm

62.

Convert 3/4 mi. = _________ ft

a)

5280 ft

b)

7,040 ft

c)

3,960 ft

d)

1760 ft

63.

12.7% as a decimal

a)

127

b)

.127

c)

1.27

d)

.0127

64.

Write .002 as a percent

a)

.02%

b)

2%

c)

.2%

65.

Write 1.75 as a percent

a)

175%

b)

17.5%

c)

1.75%

66.
Write 35% as a fraction IN SIMPLEST FORM.
a)
35/100
b)
7/20
c)
3/5
d)
5/3
67.
What percent is shaded?
a)
3%
b)
37.5%
c)
30%
d)
62.5%
68.
Which number is not equivalent to the others? 
0.5      1/5       5/25      20%
a)
0.5
b)
1/5
c)
5/25
d)
20%