Question

What is the quotient, when a non-zero rational number is divided by its additive inverse?

• A. 0
• B. -1
• C. 1
• D. 2

Answer 1

The correct option is B

-1

$\text{Let}\frac{p}{q}\text{be a non-zero rational number.}\text{Then}p,q\ne 0.$

$\text{Its additive inverse is}\frac{-p}{q}.$
$\text{That is,}\frac{p}{q}+\frac{-p}{q}=\frac{-p}{q}+\frac{p}{q}=0$

$\text{On dividing}\frac{p}{q}\text{by}\frac{-p}{q},\text{we get -1.}$