Question:
Multiplicative inverse of a negative rational number is
(a) a positive rational number
(b) a negative rational number
(c) 0
(d) 1
Solution:
(b) We know that, the product of two rational numbers is 1, taken they are multiplication inverse of each other, e.g.
Suppose, p is negative rational number, i.e.
$\frac{1}{p}$ is the multiplicative inverse of-p, then, $-p \times \frac{1}{-p}=1$
Hence, multiplicative inverse of a negative rational number is a negative rational number.