Question

$\frac{-4}{5}$is the additive inverse of $\frac{4}{-5}$

• A. True
• B. False

Answer 1

The correct option is B False

The additive inverse of a rational number is that number that when added to a given number gives zero.

So,

$$\begin{gathered} \frac{-4}{5}+\frac{4}{-5} \\ =\frac{-4}{5}+\frac{-4}{5} \\ =\frac{-4+(-4)}{5}=\frac{-8}{5} \end{gathered}$$

Therefore, $\frac{-4}{5}+\frac{4}{-5}=\frac{-8}{5}\ne 0$

Hence, the given statement is false.