Question

Which of the following rational number does not have a reciprocal.

• A. $1$
• B. $-1$
• C. $0$
• D. none of the above

Answer 1

The correct option is C

$0$

Explanation for the correct option:

The reciprocal of a number is the multiplicative inverse of that number.

Zero does not have a reciprocal.

As there is no such number when multiplied with zero can give the result equal to $1$.

Hence, Option (C) is the correct option.

Explanation for the incorrect options:

The reciprocal of $1$ is $\frac{1}{1}=1$.

The reciprocal of $-1$ is $\frac{1}{-1}=-1$.

Hence Option A and Option B are the incorrect options.

And since one of the answers is correct. hence, Option D is also incorrect.

Hence, option (C) is the correct option.