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

1 Answer
Apr 15, 2018

Answer:

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#