Question

How do you find the additive and multiplicative inverse of -8/3?

Answer 1

The additive inverse is `8/3`.
The multiplicative inverse is `-3/8`.

Explanation:

When a number is added to its additive inverse, the result zero. When a number is multiplied to its multiplicative inverse, the result is 1.

Solving for the additive inverse:
`-8/3+x=0`
(add `8/3` to both sides):
`x=8/3`

Solving for the multiplicative inverse:
`-8/3*x=1`
(divide both sides by `-8/3`):
`x=-3/8`