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Worksheets

Rational Number Review

Total questions: 113

Worksheet time: 6hrs 39mins

Name
Class
Date
1.

What is the definition of absolute value?

a)

The distance a number is to zero

b)

A positive number

c)

A number that has a value with a different sign

2.

Evaluate: |-12|

a)

12

b)

-12

c)

0

d)

1.2

3.

Compare: -2 and |-2|

a)

<

b)

>

c)

=

4.

Compare: |13| ____ |-14|

a)

<

b)

>

c)

=

5.

Compare: 27 ____ |-27|

a)

<

b)

>

c)

=

6.

What is the definition of an opposite?

a)

The distance a number is to zero

b)

A number with the same digit(s) but opposite sign

7.

What is the opposite of -12

a)

12

b)

-12

c)

0

8.

What is the opposite of 23

a)

23

b)

-23

c)

2/3

d)

0

9.

Order from least to greatest:

-2, |3|, -4

a)

-4, -2, |3|

b)

-2, |3|, -4

c)

|3|, -2, -4

d)

-2, |3|, -4

10.

Order from Least to Greatest

|-5|, 3, -4, -1

a)

-4, -1, 3, |-5|

b)

|-5|, -4, -1, 3

c)

-1, -4, |-5|, 3

d)

-4, 3, -1. |-5|

11.

Order from Least to Greatest:

-13, -7, -18, |-14|, |5|

a)

-18, -13, -7, |5|, |-14|

b)

-18, |-14|, -13, -7, |5|

c)

-7, -13, |-14|, -18, |5|

d)

|5|, -7, -13, |-14|, -18

12.

20 degree drop in temperature

a)

-20

b)

20

13.

Increase of $4 per hour

a)

$4 per hour

b)

-$4 per hour

14.

A withdrawal of $15

a)

$15

b)

-$15

15.

Descending 20 meters into the ocean

a)

20 meters

b)

-20 meters

16.

A $30 deposit to your bank account

a)

$30

b)

-$30

17.
What is the absolute value of | -7 |?
a)
-7
b)
7
c)
-7 and 7
18.
What is the absolute value of  - | 15 |?
a)
-15
b)
15
c)
0
d)
no answer
19.
What is the absolute value of the point represented by the letter S?
a)
-4
b)
0
c)
1
d)
4
20.

Which point represents |- 12\frac{1}{2} |​?

Letter only, Capitalized

a)

P

b)

Q

c)

R

d)

S

21.
Evaluate the expression.
|–5| + 8
a)
3
b)
13
c)
-13
d)
-3
22.
What is the absolute value of |572|.
a)
275
b)
-572
c)
57
d)
572
23.

Evaluate the expression.

|-2| + |-5|

a)

-7

b)

-3

c)

3

d)

7

24.
∣-61∣ ____ ∣5∣
a)
<
b)
>
c)
=
25.
l - 4 l  + l -1 l
a)
5
b)
3
c)
4
d)
-5
26.
-3 and 3 are opposites .
True or False?
a)
True 
b)
False
27.
What is the opposite of -3?
a)
3
b)
0
c)
-1/3
d)
1/3
28.
Fill in the blank with the correct sign >, < , or =
-1.8_____ 0.8
a)
>
b)
<
c)
=
29.
Fill in the blank with the correct sign >, < , or =
-3.4  ________ -2.5
a)
>
b)
<
c)
=
30.
Fill in the blank with the correct sign >, < , or =
-3/4 ________ -4/5
a)
>
b)
<
c)
=
31.
Place the following numbers from greatest to least.
-10, 12, -2, 0, 1, -12
a)
12, 1, 0, -2, -10, -12
b)
-12, -10, -2, 0, 1, 12
c)
12, -12, -10, -2, 1, 0
d)
12, 1, 0, -12, -10, -2
32.
A positive number is __________less than a negative number.
a)
never
b)
always
c)
sometimes
d)
probably
33.
When you're comparing numbers using the number line, the number to the farthest right is the...
a)
Smallest
b)
Greatest
34.
When you're comparing numbers using the number line, the number to the farthest left is the...
a)
Smallest
b)
Greatest
35.
Fill in the blank with <, >, =
3/9 _________ 0.03
a)
>
b)
<
c)
=
36.
Compare.
1.75        1¾
a)
<
b)
>
c)
=
37.
Choose <, >, or = to fill in the circle and create a true statement.
a)
<
b)
>
c)
=
38.
Select the symbol to compare these fractions
1 1/4_________ 5/4
a)
<
b)
>
c)
=
d)
?
39.
Fill in the blank with the correct sign >, < , or =
-1.8_____ 0.8
a)
>
b)
<
c)
=
40.


Compare the following rational numbers

10%10\%   ____ 18\frac{1}{8}  

a)

>

b)

<

c)

=

41.

Compare the following rational numbers

0.75%0.75\%  ____ 75.075.0  

a)

>

b)

<

c)

=

42.


Compare the following rational numbers

0.5-0.5   ____   35-\frac{3}{5}  

a)

>

b)

<

c)

=

43.

Order the following rational numbers from least to greatest.


0.402, 25, 40.5%0.402,\ \frac{2}{5},\ 40.5\%   

a)

0.402, 25, 40.5%0.402,\ \frac{2}{5},\ 40.5\%  

b)

25, 40.5%, 0.402\frac{2}{5},\ 40.5\%,\ 0.402  

c)

25, 0.402, 40.5%\frac{2}{5},\ 0.402,\ 40.5\%  

d)

40.5%, 0.402, 2540.5\%,\ 0.402,\ \frac{2}{5}  

44.

 \  Order the following rational numbers from least to greatest.

16, 16.7%, 0.16\frac{1}{6},\ 16.7\%,\ 0.16  

a)

16, 16.7%, 0.16\frac{1}{6},\ 16.7\%,\ 0.16  

b)

0.16, 16, 16.7%0.16,\ \frac{1}{6},\ 16.7\%  

c)

 0.16, 16.7%, 16\ 0.16,\ 16.7\%,\ \frac{1}{6}  

d)

16.7%, 16, 0.1616.7\%,\ \frac{1}{6},\ 0.16  

45.

 \  Order the following rational numbers from least to greatest.


76, 1.26, 12-\frac{7}{6},\ -1.26,\ -\frac{1}{2}  

a)

1.26, 76, 12-1.26,\ -\frac{7}{6},\ -\frac{1}{2}  

b)

76, 1.26, 12-\frac{7}{6},\ -1.26,\ -\frac{1}{2}  

c)

1.26, 12, 76-1.26,\ -\frac{1}{2},\ -\frac{7}{6}  

d)

12, 76, 1.26-\frac{1}{2},\ -\frac{7}{6},\ -1.26  

46.

which symbol is read as "greater than"

a)

<

b)

>

47.

Which symbol is read as "less than"

a)

<

b)

>

48.

18.5_____22.1

a)

<

b)

>

49.
what is the absolute value of -|24|? 
a)
-24
b)
24
c)
98
d)
11
50.
what is the absolute value of -|14|?
a)
14
b)
21
c)
33
d)
-14
51.

Keri has overdrawn her account $-25.00 and Misty has overdrawn her account $-30.00. Who has more money?

a)

Michelle

b)

Keri

52.

Select all answers that could represent a negative integer.

a)

deposit

b)

discount

c)

withdraw

d)

below zero

53.

Select all words that could be used to describe a positive integer.

a)

below the surface

b)

above sea level

c)

earned

d)

deposit

54.

Mary is swimming 5 feet below the surface. Which integer represents the absolute value of Mary's location?

a)

-5 feet

b)

5 feet

55.

84\left|-8\right|-4  =

a)

4

b)

-12

c)

-4

d)

12

56.

5+7=\left|5\right|+\left|-7\right|=  

a)

12

b)

-12

c)

2

d)

-2

57.

3×7\left|3\right|\times7  

a)

21

b)

-21

c)

28

d)

-28

58.

5×75\times\left|-7\right|  

a)

35

b)

-35

c)

25

d)

-25

59.

55÷11\left|-55\right|\div11  

a)

5

b)

-5

c)

6

d)

-6

60.

18÷2-18\div\left|2\right|  

a)

9

b)

-9

c)

-6

d)

6

61.

100\left|-100\right|  

a)

100

b)

-100

c)

101

d)

-101

62.

Which integer represents a temperature that is less than (colder) -60?

a)

-75

b)

-59

c)

-58

d)

-43

63.

Which integer represents a depth deeper than -20?

a)

-15

b)

-17

c)

-14

d)

-25

64.

What is the absolute value of the number above?

(a)  

65.

What is the opposite of 311?

(a)  

66.

Why are the numbers -7 and 7 opposites?

a)

Because one has a negative and the other doesn't.

b)

Because they are both 7s.

c)

Because they have the same distance from 0.

d)

Because they are both integers.

67.
What is the opposite of 27?
a)
1/27
b)
27/1
c)
absolute value
d)
-27
68.
What is the opposite of zero?
a)
1
b)
-1
c)
0
d)
it doesn't have one
69.
a)

-1/2

b)

0.9

c)

1/4

d)

5/4

70.

What value does the point represent on the number line?

a)

-0.2

b)

-2/3

c)

-3/4

d)

-0.67

71.
Which point is 7/8?
a)
Point C
b)
Point D
c)
Point E
d)
Point F
72.
A worker in a silver mine descends 60 feet. Use an integer to represent the change in the worker's position.
a)
60
b)
−60 feet
c)
60 feet
d)
−60
73.

Label Point C

a)

5/6

b)

-2/6

c)

-2/3

d)

-1/2

74.

What is the value of point A

a)

2/7

b)

-4/7

c)

-5/8

d)

7/7

75.

Which number line shows 1/2

a)

A

b)

B

c)

C

d)

D

76.
a)

4/5

b)

3/4

c)

3/1

d)

1/3

77.

Which point on the number line best represents -1.2?

a)

A

b)

B

c)

C

d)

D

e)

E

78.

Temperature: 10 degrees below zero

a)

Positive

b)

Negative

79.

Spent $80

a)

Positive

b)

Negative

80.

Earned $10

a)

+10

b)

-10

81.

500 feet above sea level

a)

Positive

b)

Negative

82.
Express as an integer:  at sea level
a)
0
b)
-0
c)
1
d)
-10
83.

Express an integer: a withdrawal of $100

a)

100

b)

-100

84.

Which integer is closer to zero?

a)

-6

b)

-3

c)

+5

d)

+10

85.

95 feet above sea level would be expressed by the integer:

a)

-95

b)

-100

c)

95

d)

0

86.

The first play of a football game resulted in a loss of 12 yards. Which integer represents this situation?

a)

12 yards

b)

-12 yards

c)

17 yards

d)

-17 yards

87.

A submarine was situated 800 feet below sea level. Which integer represents this situation?

a)

800

b)

-800

c)

1150

d)

-1150

88.

Derek took off in his helicopter and ascended 100 meters. Which integer represents Derek's elevation now?

a)

-90

b)

100

c)

110

d)

-100

89.

While hiking, Sandra went up 120 meters above sea level. What is her elevation?

a)

-680

b)

120

c)

680

d)

-120

90.

Mr. Oles withdrew 42 dollars at the start of the month from his bank account. What is the balance?

a)

-48 dollars

b)

-42 dollars

c)

-34 dollars

d)

42 dollars

91.

Steve deposited $100 into his checking account. What is his current balance?

a)

$-100

b)

$97

c)

$68

d)

$100

92.
Express an integer: a debt of $50
a)
50
b)
-50
93.

gain

a)

positive

b)

negative

94.

increase

a)

positive

b)

negative

95.
Patrick is 2 feet above sea level. 
a)
2 feet 
b)
-2 feet
c)
0 feet
96.
Britney deposits $450 into her checking account. 
a)
$450 
b)
-$450
c)
$0
97.
Donald, the diver, is 10 feet below sea level.
a)
10 feet 
b)
-10 feet
c)
0 feet
98.
The elevator takes Whitney 4 floors below ground level. 
a)
4
b)
-4
c)
0
99.
The SMS basketball team is behind 7 points. 
a)
7 points 
b)
-7 points
c)
0 points
100.
Brandon made a profit of $250,000. 
a)
$250,000
b)
-$250,000
c)
$0
101.
A loss of 4 lbs.
a)
4 lbs
b)
-4 lbs
102.
Fifteen spaces to the left of zero.
a)
15
b)
-15
103.
A decrease of 5 inches.
a)
positive
b)
negative
104.

Which integer represents the real world situation?


The Miller family parked their car at sea level?

a)

-8

b)

10

c)

0

105.

Which integer represents the real world situation?


The submarine descended 671 feet below sea level.

a)

671

b)

-671

c)

850

106.

Which integer represents the real world situation?


The temperature dropped 15 degrees overnight.

a)

-15

b)

15

c)

25

107.

Which integer represents the real world situation?


Julian owes his mom $25.00.

a)

25

b)

-25

c)

35

108.

Which integer represents the real world situation?


Ian earned 78 hours of computer time.

a)

-78

b)

78

109.

Which integer represents the real world situation?


Jackson withdrew $5.00 from his checking account.

a)

-5

b)

5

110.

Does this situation represent a positive or negative integer?


Ian made a profit on his lemonade stand last summer.

a)

positive

b)

negative

111.

Does this situation represent a zero, positive or negative integer?


I received no change at the grocery store. I paid with exact cash.

a)

positive

b)

negative

c)

zero

112.

(a)   is the opposite integer of -25

113.

(a)   is the opposite integer of 14