Thinking Mathematically (6th Edition)

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

Chapter 4 - Number Representation and Calculation - Chapter 4 Test - Page 246: 7

Answer

To serve as a Place Holder.

Work Step by Step

Consider a Number \[400806\]in Hindu Arabic System. It’s Expanded form is \[4\,\times \,{{10}^{5}}\,+\,8\,\times \,{{10}^{2}}\,+\,6\times 1\]. Now, suppose if there is no zero, we have to leave blank spaces for the missing powers of \[10\]. The number will be written as $4\,\,8\,6$ which cannot be considered as the perfect representation of above expansion. So, Symbol for Zero was required to serve as a placeholder. To represent nothingness, the symbol for zero was needed.
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