The Multiplicative Inverse of a number 'a' is the number that 'a' needs to be multiplied by to give the Muliplicative Identity, 1. It is dentoed by

or

. For example the Multiplicative Inverse of 3 is

or

because

.
The Additive Inverse of a number 'a' is the number that needs to be added to 'a' to give the Additive Identity, 0. It is dentoed by

. For example the Additive Inverse of 3 is

because

.