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.
Last updated date: 31st Mar 2023
•
Total views: 311.4k
•
Views today: 8.88k
Answer
311.4k+ views
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.
Recently Updated Pages
If abc are pthqth and rth terms of a GP then left fraccb class 11 maths JEE_Main

If the pthqth and rth term of a GP are abc respectively class 11 maths JEE_Main

If abcdare any four consecutive coefficients of any class 11 maths JEE_Main

If A1A2 are the two AMs between two numbers a and b class 11 maths JEE_Main

If pthqthrth and sth terms of an AP be in GP then p class 11 maths JEE_Main

One root of the equation cos x x + frac12 0 lies in class 11 maths JEE_Main

Trending doubts
What was the capital of Kanishka A Mathura B Purushapura class 7 social studies CBSE

Difference Between Plant Cell and Animal Cell

Write an application to the principal requesting five class 10 english CBSE

Ray optics is valid when characteristic dimensions class 12 physics CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Tropic of Cancer passes through how many states? Name them.

Write the 6 fundamental rights of India and explain in detail

Write a letter to the principal requesting him to grant class 10 english CBSE

Name the Largest and the Smallest Cell in the Human Body ?
