What are the multiplicative inverse and additive inverse in math?

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 .

Dbc if u do the math and stuff that what i got let me know if i was wrong