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
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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 $\dfrac{1}{0}$ 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 $\dfrac{1}{1} = 1$ itself and the reciprocal of $ - 1$ is $\dfrac{1}{{ - 1}} = - 1$ 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.
${\text{(i)}}$ The rational numbers that do not have a reciprocal is 0 because when we take its reciprocal, it will become $\dfrac{1}{0}$ 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 $\dfrac{1}{1} = 1$ itself and the reciprocal of $ - 1$ is $\dfrac{1}{{ - 1}} = - 1$ 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.
Last updated date: 22nd Sep 2023
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