Solved Examples and Worksheet for Additive Inverses on Rational Numbers
Q1
Find the additive inverse of
8
-
9
.
A
. -
9
8
B
. -
8
9
C
.
8
9
D
.
9
8
Solutions
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Step: 1
8
-
9
= -
8
9
Step: 2
For every real number '
b
', there is unique additive inverse
'-
b
'
.
Step: 3
So, additive inverse of
8
-
9
is - ( -
8
9
) =
8
9
Correct Answer is :
8
9
Q2
Find the additive inverse of
8
7
1
5
.
A
. 7
1
5
7
B
. - 7
8
1
5
C
. - 8
7
1
5
D
. 15
7
8
Solutions
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Step: 1
For every real number '
y
', there is unique additive inverse '-
y
'.
Step: 2
So, the additive inverse of 8
7
1
5
is - 8
7
1
5
.
Correct Answer is :
- 8
7
1
5
Q3
Which of the following is opposite of 0.7?
A
.
10
7
B
. - 0.7
C
. 0.7
D
.
7
100
Solutions
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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
Q4
Find the additive inverse of -
3
7
.
A
.
7
3
B
. 3
C
. -
7
3
D
.
3
7
Solutions
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Step: 1
Additive inverse of a number
n
is the number which when added to
n
yields zero.
Step: 2
When
3
7
is added to -
3
7
the result is zero.
-
3
7
+
3
7
= 0
Step: 3
So, the additive inverse of -
3
7
is
3
7
.
Correct Answer is :
3
7
Q5
Identify the additive inverse of -
2
1
5
.
A
.
5
1
2
B
.
11
5
C
. -
2
1
5
D
. -
1
2
5
Solutions
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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 -
2
1
5
is
2
1
5
Correct Answer is :
11
5
Q6
Identify the additive inverse of
-
8
9
10
.
A
. 1
B
. 0
C
.
89
10
D
.
81
5
Solutions
Share
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
8
9
10
or
89
10
.
[Converting mixed fraction into improper fraction.]
Correct Answer is :
89
10
Q7
Identify the additive inverse of
15
14
.
A
. 0
B
. -
15
14
C
. -
14
15
D
.
14
15
Solutions
Share
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
15
14
is -
15
14
.
Correct Answer is :
-
15
14
Q8
Identify the additive inverse of 63.
A
. 0
B
. - 63
C
.
1
63
D
. -
1
63
Solutions
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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
Q9
Which of the following is additive inverse of 3.75?
A
. + 3.75
B
. - 3.75
C
. + 37.5
D
. - 37.5
Solutions
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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
Q10
Which of the following is the
opposite of - 0.84?
A
.
1
0.84
B
. 0.84
C
.
10
84
D
. - 0.84
Solutions
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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.
Correct Answer is :
0.84
Q11
Find the additive inverse of -
3
7
.
A
.
3
7
B
. -
7
3
C
.
7
3
D
. -
3
7
Solutions
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Step: 1
a
+ (-
a
) = (-
a
) +
a
= 0, where
a
, -
a
are real numbers
[Additive inverse.]
Step: 2
When
3
7
is added to -
3
7
gives zero.
[
3
7
+ (-
3
7
) = 0]
Step: 3
So, the additive inverse of -
3
7
is
3
7
.
Correct Answer is :
3
7
Q12
Find the additive inverse of
1
13.
A
. -
13
1
B
. -
1
13
C
.
13
1
D
.
1
13
Solutions
Share
Step: 1
Additive inverse of a number
n
is the number which when added to
n
yields zero.
Step: 2
When -
1
13
is added to
1
13
, the result is zero.
-
1
13
+
1
13
= 0
Step: 3
So, the additive inverse of
1
13
is -
1
13
.
Correct Answer is :
-
1
13
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Related Topic
Additive Inverses
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