Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter R - Summary - Test Your Word Power - Page 40: 4

Answer

B. $\frac{1}{a}$

Work Step by Step

We know that two numbers are reciprocals if they have a product of 1. Therefore, the reciprocal of $a$ must be $\frac{1}{a}$, since $a\times\frac{1}{a}=\frac{a\times1}{a}=\frac{a}{a}=1$. For example, the reciprocal of 2 is $\frac{1}{2}$, as $2\times\frac{1}{2}=1$.
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