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: 40

Answer

0.14

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: $-0.126\div(-0.9)$ =$-\frac{126}{1000}\div-\frac{9}{10}$ =$-\frac{126}{1000}\times-\frac{10}{9}$ =$-\frac{126}{100}\times-\frac{1}{9}$ =$-\frac{14}{100}\times-\frac{1}{1}$ =$\frac{14}{100}$ =$0.14$
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