Diagnostic Medical Sonography (DMS) Practice Exam

Which statement about a reciprocal relationship is true?

The product of a number and its reciprocal is greater than one Reciprocals subtract to yield zero Reciprocal pairs are equal values The product of a number and its reciprocal is one

Correct Answer:

The product of a number and its reciprocal is one

Explanation:

A reciprocal is the multiplicative inverse of a number: for a nonzero number x, its reciprocal is 1/x, and x multiplied by 1/x equals 1. This is why the true statement is that the product of a number and its reciprocal is one. Remember that zero has no reciprocal, so this rule doesn’t apply to zero. Some other ideas aren’t generally true: the product is not typically greater than one (it's always exactly one for any nonzero number), subtracting a number and its reciprocal doesn’t guaranteed yield zero, and reciprocals aren’t equal to the original number except in special cases like 1 or -1.

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