Question

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

Answer 1

Hint- Here, we will be checking for the rational number satisfying the given conditions.

$\text{(i)}$ The rational numbers that do not have a reciprocal is 0 because when we take its reciprocal, it will become ${\displaystyle \frac{1}{0}}$ which is not defined.
$\text{(ii)}$ The rational numbers that are equal to their reciprocals are 1 and $-1$ because the reciprocal of 1 is ${\displaystyle \frac{1}{1}}=1$ itself and the reciprocal of $-1$ is ${\displaystyle \frac{1}{-1}}=-1$ itself.
 The rational number that is equal to its negative is zero because negative of zero is zero itself.

Note- These types of problems are easily solved with the help of basics of rational numbers. Consider the best suitable rational number to the given condition.