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: 80


The base in the Hindu-Arabic numeration system is 10. Therefore, the positional value of Arabic numeration system is based on powers of 10 then the positional values of this system are\[.....,{{10}^{3}},{{10}^{2}},10,1\]. For example, a Hindu-Arabic numeral 122 represented in expanded form on base 10 as below, \[122=\left( 1\times {{10}^{2}} \right)+\left( 2\times {{10}^{1}} \right)+\left( 2\times 1 \right)\] And, the symbols which represent a Hindu-Arabic numeral is called digit. So, the ten symbols 0,1,2, 3,4,5,6,7,8,9 is called digit for Hindu-Arabic numeration system.
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