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.
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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Additive Inverse and Multiplicative Inverse
Additive inverse of a number is what you add to the original number to get a sum of zero. On the other hand, multiplicative inverse of a number is what you multiply the original number by to get a product of one.
Let’s learn about the Additive Inverse and Multiplicative Inverse with the help of solved examples.