Question

What is the additive inverse of $-\frac{2}{9}$?

Answer 1

Additive inverse of a number:

The value of an additive inverse of a number is defined as the value that when added to the original number, the result should be zero.

Let $n$is any given number. Then, the additive inverse of the number $n$will be $-n$ because $n+(-n)=0$.

The additive inverse of a number has always the opposite sign as the sign of the given number.

We have to find the additive inverse of $-\frac{2}{9}$.

So, the additive inverse of a number $-\frac{2}{9}$is $\frac{2}{9}$ because $-\frac{2}{9}+\frac{2}{9}=0$.

Hence, the additive inverse of $-\frac{2}{9}$ is $\frac{2}{9}$.