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Question

Write:
a) The rational number that does not have a reciprocal
b) The rational numbers that are equal to their reciprocals.
c) The rational number that is equal to its negative.


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Solution

Solution:

a) 0 is the only number which doesn't have a reciprocal. Because reciprocal of 0 is not defined.

b) The reciprocal of 1 and -1 will always be 1 and -1 respectively. Hence, 1 and -1 are the rational numbers which are equal to their reciprocal.

c) The additive inverse of 0 will always be 0. Hence, 0 is the only rational number which is equal to its negative.

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