Write.
(i) The rational number that does not have a reciprocal.
(ii) The rational numbers that are equal to their reciprocals.
(iii) The rational number that is equal to its negative.

To do: 

We have to find the answers to the given questions.

Solution:

 (i) We know that,

Any number divided by zero is undefined.

Therefore,

0(zero) is the rational number that does not have a reciprocal.

(ii) We know that,

Reciprocal of a number $a$ is $\frac{1}{a}$

Therefore,

Reciprocal of $1$ is $\frac{1}{1} = 1$

Reciprocal of $-1$ is $\frac{1}{-1} = -1$

$1$ and $-1$ are the rational numbers that are equal to their reciprocals.

(iii) We know that,

$0$ is neither a positive nor a negative number.

Therefore,

The rational number that is equal to its negative is $0$(zero).

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Updated on: 10-Oct-2022

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