Solved Examples and Worksheet for Finding Absolutes Value of Rational Numbers
Q1
Evaluate the expression |7|.
A
. - 7
B
. 0
C
. 7
D
. 1
Solutions
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Step: 1
If
a
is the positive number then |
a
| =
a
.
Step: 2
So, |7| = 7.
Correct Answer is :
7
Q2
Evaluate the expression
|- 3|.
A
. 1
B
. - 3
C
. 0
D
. 3
Solutions
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Step: 1
If
a
is negative, then |
a
| = -
a
.
Step: 2
|- 3| = - (- 3) = 3
[Use definition of opposites.]
Correct Answer is :
3
Q3
Evaluate the expression
|
-
3
7
|.
A
.
-
3
7
B
.
3
7
C
. 0
D
. 1
Solutions
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Step: 1
If
a
b
is negative, then |
a
b
| is -
a
b
.
Step: 2
|
-
3
7
| = - (-
3
7
) =
3
7.
[Use definition of opposites.]
Correct Answer is :
3
7
Q4
Evaluate the expression
|0.8|.
A
. 0.8
B
. - 0.8
C
. 0
D
. 1
Solutions
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Step: 1
Let
a
be the number.
Step: 2
a
= 0.8.
Step: 3
If
a
is positive, |
a
| =
a
.
Step: 4
|0.8| = 0.8.
Correct Answer is :
0.8
Q5
Evaluate the expression
-|
3
7
|.
A
. 1
B
.
-3
7
C
.
3
7
D
. 0
Solutions
Share
Step: 1
The absolute value of
a
b
is
a
b
, if
a
b
> 0.
Step: 2
-|
3
7
| =
-3
7
.
[Use definition of opposites.]
Correct Answer is :
-3
7
Q6
Evaluate the expression
- |
-
2
5
|.
A
. 0
B
.
2
5
C
.
-
2
5
D
. 1
Solutions
Share
Step: 1
If
a
is negative, then |
a
| = -
a
.
Step: 2
- |
-
2
5
| = - [- (
-
2
5
)] =
-
2
5
.
[Use definition of opposites.]
Correct Answer is :
-
2
5
Q7
Evaluate the expression
| 5 |.
A
. 0
B
. 5
C
. 1
D
. - 5
Solutions
Share
Step: 1
If
a
is a positive number, then |
a
| =
a
.
Step: 2
So, | 5 | = 5.
Correct Answer is :
5
Q8
Evaluate the expression
| -
2
5
|.
A
. 0
B
.
2
5
C
. 1
D
. -
2
5
Solutions
Share
Step: 1
If
a
b
is negative, then |
a
b
| is -
a
b
.
Step: 2
| -
2
5
| = - (-
2
5
) =
2
5
[Use definition of opposites.]
Correct Answer is :
2
5
Q9
Evaluate the expression
| 2.1 |.
A
. - 2.1
B
. 2
C
. 2.1
D
. 0
Solutions
Share
Step: 1
Let
a
be the number.
Step: 2
a
= 2.1
Step: 3
If
a
is positive, then |
a
| =
a
.
Step: 4
Therefore, | 2.1 | = 2.1
Correct Answer is :
2.1
Q10
Evaluate the expression
| - 0.5 |.
A
. - 0.5
B
. 0
C
. 0.5
D
. 1
Solutions
Share
Step: 1
Let
a
be the number.
Step: 2
a
= - 0.5
Step: 3
If
a
is negative, |
a
| = -
a
.
Step: 4
| - 0.5 | = - (- 0.5) = 0.5
Correct Answer is :
0.5
Q11
Evaluate the expression
- |
2
5
|.
A
. -
2
5
B
. 1
C
. 0
D
.
2
5
Solutions
Share
Step: 1
The absolute value of
a
b
is
a
b
, if
a
b
> 0.
Step: 2
- |
2
5
| = -
2
5
[Use definition of opposites.]
Correct Answer is :
-
2
5
Q12
Evaluate the expression
- | -
5
11
|.
A
. -
5
11
B
. 0
C
. 1
D
.
5
11
Solutions
Share
Step: 1
If
a
is negative, then |
a
| = -
a
.
Step: 2
- | -
5
11
| = - [ - (-
5
11
)] = -
5
11
[Use definition of opposites.]
Correct Answer is :
-
5
11
Q13
Evaluate the expression
| - 6 |.
A
. - 6
B
. 6
C
. 0
D
. 1
Solutions
Share
Step: 1
If
a
is negative, then |
a
| = -
a
.
Step: 2
| - 6 | = - (- 6) = 6
[Use definition of opposites.]
Correct Answer is :
6
Q14
Find the value of
|36|.
A
. - 36
B
. - 6
C
. 36
D
. 6
Solutions
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Step: 1
The absolute value of a number is its distance, in either direction, from zero on a number line.
Step: 2
Represent zero on the number line.
Step: 3
On the number line, 36 is 36 units away from 0. So, |36| = 36.
Correct Answer is :
36
Q15
Which of the following represents the absolute value of the opposite of 25?
A
. 25
B
. - 25
C
.
1
25
D
. - 25 and 25
Solutions
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Step: 1
Opposite of 25 is -25 and the absolute value of -25 is 25.
[|- 25| = 25.]
Correct Answer is :
25
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Related Topic
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