Multiplicative inverse of a negative rational number is

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.

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