Question

10. Write.
(1) The rational number that does not have a reciprocal.
(i) The rational numbers that are equal to their reciprocals.
(iii) The rational number that is equal to its négative.​

Answer 1

Answer:

1. The rational number that does not have a reciprocal 0 because reciprocal of 0 is undefined.

2. 1 and -1 are the only rational numbers which are their own reciprocal. No other rational number is equal to its own reciprocal. So the rational numbers that are equal to their reciprocals are 1 and -1. Note: There is no rational number which when multiplied with zero, gives 1.

3. Solution: 0 (zero) is the rational number which is equal to its negative.

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Answer 2

Answer:

1. The rational number that does not have a reciprocal 0 because reciprocal of 0 is undefined.
2. 1 and -1 are the only rational numbers which are their own reciprocal.
3. 0 is the rational number that is equal to its negative.