How do you find the additive and multiplicative inverse of #-4 3/5#?

1 Answer
Jul 6, 2017

Answer:

Additive inverse: #+4 3/5#

Multiplicative inverse (reciprocal) #-5/23#

Explanation:

Additive inverses add up to zero.
This means that the numbers are the same, but they have opposite signs.

#(-3) + (+3) =0" or "(+x) + (-x)=0#

So in this case, the additive inverse of #-4 3/5 " is " +4 3/5#

The multiplicative inverse is also known as the reciprocal.

Multiplicative inverses multiply to give #1#

#2/3 xx 3/2 = 1" or "a/b xx b/a =1#

In this case:

#-4 3/5 = -23/5" "larr# write as an improper fraction

#-23/5 xx -5/23 = 1#