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: 82


Since, the base of Hindu-Arabic numeral is 10 then the positional values of this system are \[....,{{10}^{4}},{{10}^{3}},{{10}^{2}},10,1\]. So, when a Hindu-Arabic number is written in expanded form, the digits of numeral should be written as product of their positional values in summation format, as shown below: Consider 1234 is a Hindu-Arabic numeral then the expanded from of this numeral is, \[1234=\left( 1\times {{10}^{3}} \right)+\left( 2\times {{10}^{2}} \right)+\left( 3\times 10 \right)+\left( 4\times 1 \right)\]
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