In mathematics, the additive inverse of a number a is the number that, when added to a, yields zero.

This number is also known as the opposite (number), sign change, and negation. For a real number, it reverses its sign.

• Additive-inverse of positive number will be negative number
• Additive-inverse of negative number will be positive number

Additive-inverse of positive fraction is the negative fraction with the same number.

Additive-inverse of negative fraction is the positive fraction with the same number.

For example additive-inverse of 5/2 is -5/2

Example 1 :

Solution :

-15 + 15 = 0

This is why we say additive-inverse of -15 is +15

Example 2 :

Solution :

-5 + 5 = 0

This is why we say additive-inverse of -5 is 5

Example 3 :

Solution :

-0.3 + 0.3 = 0

This is why we say additive-inverse of -0.3 is +0.3

Example 4 :

Solution :

1/7 + (-1/7) = 0

This is why we say additive-inverse of 1/7 is -1/7

Example 5 :

Solution :

-122 + 122 = 0

This is why we say additive-inverse of -122 is +122

Example 6 :

Solution :

Additive inverse of -137 is 137.

-137 + 137 = 0

This is why we say additive-inverse of -137 is +137

Example 7 :

Solution :

(-2/3) + (2/3) = 0

This is why we say additive-inverse of -2/3 is 2/3

Example 8  :

Solution :

0 + 0 = 0

This is why we say inverse of 0 is 0

Example 9 :

Solution :

-1000 + 1000 = 0

This is why we say inverse of -1000 is 1000

We hope that students would have understood "Additive-inverse"

You can also visit our following web pages on different stuff in math.

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