Additive Inverse Definition

The additive inverse of a number is a value that, when added to the original number, results in a sum of zero

For a number ‘a’, it is denoted as ‘-a’. This represents the value that, when added to ‘a,’ results in a sum of zero.

For example, the additive inverse of 5 is -5.

Illustration of Additive Inverse

Additive Inverse of 0

For any number ‘a,’ the additive inverse of 0 is still 0. This is because when 0 is added to 0, the result is, unsurprisingly, 0.

While other numbers have both positive and negative additive inverses, 0 is unique in having an additive inverse that is the same number itself.

Symbolically, 0 + 0 = 0.

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