Question

The reciprocal of a negative rational number 

A. is a positive rational number 

B. is a negative rational number 

C. can be either a positive or a negative rational number 

D. does not exist

Answer 1

Let \(\frac{-a}{b}\) be a negative rational number 

Then, 

its reciprocal will be \(\frac{-b}{a}\) which is also a negative rational number. 

Hence, 

the reciprocal of a negative rational number is a negative rational number