Elementary Algebra

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

Chapter 2 - Real Numbers - 2.3 - Real Numbers and Algebraic Expressions - Problem Set 2.3: 39

Answer

0.38

Work Step by Step

Recall the following rule: $\frac{a}{b} \div \frac{c}{d}=\frac{a}{b} \times \frac{d}{c}$. We convert the decimal into a fraction for the ease of simplification: $-0.266\div(-0.7)$ =$-\frac{266}{1000}\div-\frac{7}{10}$ =$-\frac{266}{1000}\times-\frac{10}{7}$ =$-\frac{266}{100}\times-\frac{1}{7}$ =$-\frac{38}{100}\times-\frac{1}{1}$ =$\frac{38}{100}$ =$0.38$
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