Question

10. Which of the following is the reciprocal of the reciprocal of a rational number?
I. -1 II. 1 III. O TV. The number itself
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Answer 1

Answer:

1 and -1 are the only rational numbers which are their own reciprocals. No other rational number is its own reciprocal. We know that there is no rational number which when multiplied with 0, gives 1. Therefore, rational number 0 has no reciprocal or multiplicative inverse.

Answer 2

The correct option is (d) "the number itself"

Step-by-step explanation:

Let we have a rational number having numerator as 2 and denominator as 3. The rational form is given by :

$\dfrac{2}{3}$

Reciprocal of a number is such that the numerator becomes denominator and the denominator becomes numerator. So, the reciprocal of the above rational no will be :

$\dfrac{3}{2}$

The reciprocal of the reciprocal of a rational number will be again  $\dfrac{2}{3}$. Hence, the reciprocal of the reciprocal of a rational number is the number itself.

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Which of the following is the reciprocal of the reciprocal of a rational number?

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