Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 1 - Section 1.3 - The Real Numbers - Exercise Set - Page 42: 31

Answer

$0.8\overline{3}$

Work Step by Step

The denominator can be not expanded to 10,100,1000... because it has factors other than 2 and 5. Long division: $\begin{array}{lllllll} & 0. & 8 & 3 & 3... & & \\ & -- & -- & -- & -- & -- & \\ 6 & ) & 5. & 0 & 0 & 0 & \\ & & 4 & 8 & & & \\ & & -- & -- & & & \\ & & & 2 & 0 & & \\ & & & 1 & 8 & & \\ & & & -- & -- & & \\ & & & & 2 & 0 & repeats\\ & & & & & & \end{array}$ $-\displaystyle \frac{5}{6}=-5\div 6=0.83333...=0.8\overline{3}$
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