Question

Multiplicative inverse of a negative rational number is ______

Options

• a positive rational number.

• a negative rational number.

• 0

• 1

Answer 1

Multiplicative inverse of a negative rational number is a negative rational number.

Explanation:

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. `1/p` is the multiplicative inverse of –p, then, `-p xx 1/(-p) = 1`

Hence, multiplicative inverse of a negative rational number is a negative rational number.