Multiplying a number by its reciprocal yields ______.

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Multiple Choice

Multiplying a number by its reciprocal yields ______.

Explanation:
Multiplying a number by its reciprocal uses its multiplicative inverse, so the product is 1 for any nonzero number. If the number is x, the reciprocal is 1/x, and x × (1/x) = 1. This holds for all nonzero x (zero has no reciprocal, so the statement isn’t defined there). For example, 5 × 1/5 = 1 and −3 × −1/3 = 1. That’s why the result is 1.

Multiplying a number by its reciprocal uses its multiplicative inverse, so the product is 1 for any nonzero number. If the number is x, the reciprocal is 1/x, and x × (1/x) = 1. This holds for all nonzero x (zero has no reciprocal, so the statement isn’t defined there). For example, 5 × 1/5 = 1 and −3 × −1/3 = 1. That’s why the result is 1.

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