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. --- and. ---- are the only rational numbers which are their own reciprocals ​

User TheWalker
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Answer: 1 and -1

Explanation:

The two rational numbers that are their own reciprocals are:

+1 (positive one)

Explanation: The reciprocal of +1 is 1/+1, which is also +1.

-1 (negative one)

Explanation: The reciprocal of -1 is 1/-1, which is also -1.

These are the only two rational numbers that remain the same when you take their reciprocal. For any other rational number (let's call it "a"), its reciprocal is 1/a, which is not equal to "a" unless "a" is either +1 or -1.

User Clxoid
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