Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 2 - Real Numbers - 2.1 - Rational Numbers: Multiplication and Division - Concept Quiz 2.1 - Page 47: 7

Answer

False

Work Step by Step

The reciprocal of $\dfrac{-3}{7}$ is: $=\dfrac{1}{\frac{-3}{7}} \\=1 \cdot \dfrac{7}{-3} \\=\dfrac{-7}{3}$ Thus, the given statement is false. Note, $\frac{7}{3}$ is the $\underline {opposite}$ reciprocal of $\frac{-3}{7}$.
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