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: 72

Answer

$700,300.20201$

Work Step by Step

RECALL: $10^{5} = 100,000 \\10^{2} = 100 \\10^{-1} = \dfrac{1}{10} = 0.1 \\10^{-3} = \dfrac{1}{10^3} = 0.001 \\10^{-5} =\dfrac{1}{10^5} = 0.00001$ Thus, the given expression is equivalent to: $=(7 \times 100,000) + (3 \times 100) +(2 \times 0.1) + (2 \times 0.001)+(1 \times 0.00001) \\=700,000 + 300 + 0.2 + 0.002+0.00001 \\=700,300.20201$
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