alleryFor which rational number a is the statement 'a is its own multiplicative inverse' TRUE?
AOnly a = 1
BOnly a = −1
Ca = 1 or a = −1
DAny non-zero rational number
Answer & Solution
Correct answer: C. a = 1 or a = −1
a × a = 1 means a² = 1, so a = 1 or a = −1. Indeed 1 × 1 = 1 and (−1) × (−1) = 1. No other rational number is its own multiplicative inverse.
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