Question

Question 10
Multiplicative inverse of a negative rational number is:
(a) a positive rational number.
(b) a negative rational number.
(c) 0
(d) 1

Answer 1

We know that the product of two rational numbers is 1, taken they are multiplicative inverse of each other.
Suppose, p is a negative rational number, i.e. $\frac{1}{p}$ is the multiplicative inverse of $p$, then, $-p\times \frac{1}{-p}=1$
Hence, the multiplicative inverse of a negative rational number is a negative rational number i.e option (b).