Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 5 - Number Theory and the Real Number System - 5.3 The Rational Numbers - Exercise Set 5.3 - Page 285: 120

Answer

\[-\frac{1}{125}=-0.008\,\,\text{and}\,\,-\frac{3}{500}=-0.006\] This shows that \[-\frac{1}{125}

Work Step by Step

The rational number \[-\frac{1}{125}\] can be written in decimal form as follows: \[-125\overset{-0.008}{\overline{\left){\begin{align} & 1.000 \\ & \underline{1\,\,000} \\ & \,\,\,\,\,\,\,\,\,0 \\ \end{align}}\right.}}\] The rational number \[-\frac{3}{500}\] can be written in decimal form as follows: \[-500\overset{-0.006}{\overline{\left){\begin{align} & 3.000 \\ & \underline{3\,\,000} \\ & \,\,\,\,\,\,\,\,\,0 \\ \end{align}}\right.}}\] Thus, the rational numbers in decimal form can be written as \[-\frac{1}{125}=-0.008\,\,\text{and}\,\,-\frac{3}{500}=-0.006\] This shows that \[-\frac{1}{125}
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