Thinking Mathematically (6th Edition)

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

Chapter 4 - Number Representation and Calculation - 4.1 Our Hindu-Arabic System and Early Positional Systems - Exercise Set 4.1: 65

Answer

$0.4759$

Work Step by Step

RECALL: $10^{-1} = \dfrac{1}{10} = 0.1 \\10^{-2} = \dfrac{1}{10^2} = 0.01 \\10^{-3} = \dfrac{1}{10^3} = 0.001 \\10^{-4} =\dfrac{1}{10^4} = 0.0001 \\10^{-5} = \dfrac{1}{10^5} = 0.00001 \\10^{-6} = \dfrac{1}{10^6} = 0.000001$ Thus, the given expression is equivalent to: $=(4 \times 0.1) + (7 \times 0.01) + (5 \times 0.001) + (9 \times 0.0001) \\=0.4 + 0.07 + 0.005 + 0.0009 \\=0.4759$
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