Question
Download Solution PDFWhich of the following rational numbers is equal to its reciprocal?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept use:
The rational number that is equal to its reciprocal should satisfy the equation n = 1/n, where n is the rational number.
Calculations:
Checking each option:
If n = 1, its reciprocal is also 1 (since 1/1 = 1), so that matches.
If n = 1/2, its reciprocal is 2 (since 1/(1/2) = 2), which does not match.
If n = 2, its reciprocal is 1/2 (since 1/2 = 0.5), which does not match.
For n = 0, the reciprocal is undefined (since 1/0 is undefined), which does not match.
So, the Correct answer is Option 1.
Last updated on Jan 29, 2025
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