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Question
Multiplicative inverse of a negative rational number is ______
Options
a positive rational number.
a negative rational number.
0
1
Solution
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.
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