Question

Find the additive and multiplicative inverse of $-\frac{1}{3}$.

Answer 1

Step 1: Find the additive inverse

The additive inverse of a number is a numeric value which when added to the given number results in zero.

We are given the number $-\frac{1}{3}$.

To make the resultant value zero, we will add $+\frac{1}{3}$ to it, such that $-\frac{1}{3}+\frac{1}{3}=0$

So, the additive inverse of $-\frac{1}{3}$will be $+\frac{1}{3}$.

Step 2: Find the multiplicative inverse

The multiplicative inverse of a number is a numeric value which when multiplied by the given number results in $1$. The multiplicative inverse of a number is represented by its reciprocal.

We are given the number $-\frac{1}{3}$.

The reciprocal of $-\frac{1}{3}$ will be $-3$.

So, the multiplicative inverse of $-\frac{1}{3}$will be $-3$.

Therefore, the additive inverse is $+\frac{1}{3}$ and multiplicative inverse is $-3$.