#### Solved Examples and Worksheet for Finding Absolutes Value of Rational Numbers

Q1Evaluate the expression |7|.

A. - 7
B. 0
C. 7
D. 1

Step: 1
If a is the positive number then |a| = a.
Step: 2
So, |7| = 7.
Q2Evaluate the expression |- 3|.

A. 1
B. - 3
C. 0
D. 3

Step: 1
If a is negative, then |a| = - a.
Step: 2
|- 3| = - (- 3) = 3
[Use definition of opposites.]
Q3Evaluate the expression |- 37|.

A. - 37
B. 37
C. 0
D. 1

Step: 1
If ab is negative, then |ab | is - ab .
Step: 2
|- 37| = - (- 37) = 37.
[Use definition of opposites.]
Q4Evaluate the expression |0.8|.

A. 0.8
B. - 0.8
C. 0
D. 1

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.
Q5Evaluate the expression -| 37|.
A. 1
B. -37
C. 37
D. 0

Step: 1
The absolute value of ab is ab, if ab > 0.
Step: 2
-| 37 | = -37.
[Use definition of opposites.]
Q6Evaluate the expression - |- 25|.
A. 0
B. 25
C. - 25
D. 1

Step: 1
If a is negative, then |a| = - a.
Step: 2
- |- 25| = - [- (- 25)] = - 25.
[Use definition of opposites.]
Correct Answer is :   - 25
Q7Evaluate the expression | 5 |.

A. 0
B. 5
C. 1
D. - 5

Step: 1
If a is a positive number, then | a | = a.
Step: 2
So, | 5 | = 5.
Q8Evaluate the expression | - 25 |.

A. 0
B. 25
C. 1
D. - 2 5

Step: 1
If  ab is negative, then | ab | is - ab.
Step: 2
| - 25 | = - (- 25) = 25
[Use definition of opposites.]
Q9Evaluate the expression | 2.1 |.
A. - 2.1
B. 2
C. 2.1
D. 0

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
Q10Evaluate the expression | - 0.5 |.

A. - 0.5
B. 0
C. 0.5
D. 1

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
Q11Evaluate the expression - | 25 |.

A. - 25
B. 1
C. 0
D. 25

Step: 1
The absolute value of  ab is   ab, if  ab > 0.
Step: 2
- | 25 | = - 25
[Use definition of opposites.]
Correct Answer is :   - 25
Q12Evaluate the expression - | - 511 |.
A. - 511
B. 0
C. 1
D. 511

Step: 1
If a is negative, then | a | = - a.
Step: 2
- | - 511 | = - [ - (- 511)] = - 511
[Use definition of opposites.]
Correct Answer is :   - 511
Q13Evaluate the expression | - 6 |.

A. - 6
B. 6
C. 0
D. 1

Step: 1
If a is negative, then | a | = - a.
Step: 2
| - 6 | = - (- 6) = 6
[Use definition of opposites.]
Q14Find the value of |36|.
A. - 36
B. - 6
C. 36
D. 6

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.