#### Solved Examples and Worksheet for Additive Inverses on Rational Numbers

Q1Find the additive inverse of 8- 9.

A. - 98
B. - 89
C. 89
D. 98

Step: 1
8- 9 = - 89
Step: 2
For every real number 'b', there is unique additive inverse '- b'.
Step: 3
So, additive inverse of 8- 9 is - ( - 89) = 89
Q2Find the additive inverse of 8715.
A. 7157
B. - 7 815
C. - 8715
D. 1578

Step: 1
For every real number 'y', there is unique additive inverse '- y'.
Step: 2
So, the additive inverse of 8 715 is - 8715.
Correct Answer is :   - 8715
Q3Which of the following is opposite of 0.7?

A. 107
B. - 0.7
C. 0.7
D. 7100

Step: 1
Opposite of a number n is the number which when added to n yields zero.
Step: 2
When - 0.7 is added to 0.7 gives zero.
- 0.7 + 0.7 = 0

Step: 3
So, the opposite of 0.7 is - 0.7.
Correct Answer is :   - 0.7
Q4Find the additive inverse of - 37.
A. 73
B. 3
C. - 73
D. 37

Step: 1
Additive inverse of a number n is the number which when added to n yields zero.
Step: 2
When 37 is added to - 37the result is zero.
- 37 + 37 = 0

Step: 3
So, the additive inverse of - 37 is 37.
Q5Identify the additive inverse of - 215.
A. 512
B. 115
C. - 215
D. - 125

Step: 1
If a is a real number, then the additive inverse of a is -a so that a + (-a) = 0.
Step: 2
The additive inverse of - 215 is 215
Q6Identify the additive inverse of - 8910.
A. 1
B. 0
C. 8910
D. 815

Step: 1
If a is a real number, then the additive inverse of a is - a so that a + (- a) = 0.
Step: 2
The additive inverse of is 8910 or 8910.
[Converting mixed fraction into improper fraction.]
Q7Identify the additive inverse of 1514.

A. 0
B. - 1514
C. - 1415
D. 1415

Step: 1
If a is a real number, then the additive inverse of a is - a so that a + (- a) = 0.
Step: 2
The additive inverse of 1514 is - 1514.
Correct Answer is :   - 1514
Q8Identify the additive inverse of 63.
A. 0
B. - 63
C. 163
D. - 163

Step: 1
If a is a real number, then the additive inverse of a is - a so that a + (- a) = 0.
Step: 2
The additive inverse of 63 is - 63.
Correct Answer is :   - 63
Q9Which of the following is additive inverse of 3.75?

A. + 3.75
B. - 3.75
C. + 37.5
D. - 37.5

Step: 1
The additive inverse of a number is the opposite of the number.
Step: 2
So, the additive inverse of 3.75 is - 3.75.
Correct Answer is :   - 3.75
Q10Which of the following is the opposite of - 0.84?
A. 10.84
B. 0.84
C. 1084
D. - 0.84

Step: 1
Opposite of a number n is the number which when added to n yields zero.
Step: 2
When 0.84 is added to - 0.84 gives zero.
- 0.84 + 0.84 = 0

Step: 3
So, the opposite of - 0.84 is 0.84.
Q11Find the additive inverse of - 37.

A. 37
B. - 73
C. 73
D. - 37

Step: 1
a + (-a) = (-a) + a = 0, where a, -a are real numbers
Step: 2
When 37 is added to - 37 gives zero.
[37 + (- 37) = 0]
Step: 3
So, the additive inverse of - 37 is 37.
Q12Find the additive inverse of 113.
A. - 131
B. - 113
C. 131
D. 113

Step: 1
Additive inverse of a number n is the number which when added to n yields zero.
Step: 2
When - 113 is added to 113 , the result is zero.
- 113 + 113 = 0

Step: 3
So, the additive inverse of 113 is - 113.
Correct Answer is :   - 113