Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 1 - Section 1.3 - Operations on Real Numbers and Order of Operations - Vocabulary, Readiness & Video Check: 3

Answer

Reciprocal

Work Step by Step

The reciprocal of a number is a number or expression that you can multiply by it to get 1. Since $b=\frac{b}{1}$, and you need to get the numerator and the denominator to equal the same thing so that the expression equals one, the reciprocal of $\frac{b}{1}$ is $\frac{1}{b}$ for any nonzero number $b$. $\frac{b}{1}\times\frac{1}{b}=\frac{b}{b}$, or $1$.
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