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 - Page 219: 81


A symbol for zero is always needed in positional system because when it includes in expanded form, the expanded form will look more clearly. For example, the expanded form \[\left( 2\times {{10}^{3}} \right)+\left( 1\times 1 \right)\] will be seen clear when it will have written as from \[\left( 2\times {{10}^{3}} \right)+\left( 0\times {{10}^{2}} \right)+\left( 0\times 10 \right)+\left( 1\times 1 \right)\].
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