Thinking Mathematically (6th Edition)

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

Chapter 4 - Number Representation and Calculation - 4.4 Looking Back at Early Numeration Systems - Exercise Set 4.4 - Page 243: 80

Answer

Chinese Numeral, Egyptian numeral, Roman Numeral.

Work Step by Step

Solve Each Numeral one by one Roman Numeral CCCCXLIX \[\begin{align} & =\,4\times 100\,+\left( 50-10 \right)\,+\left( 10-1 \right) \\ & =400\,+40+9 \\ & =449 \end{align}\] Chinese Numeral according to symbols signify \[\begin{align} & =\left( 4\times 100 \right)\,+\left( 2\,\times 10 \right)\,+8 \\ & =400+20+8 \\ & =428 \\ \end{align}\] Egyptian Numerals According to Symbol Signify \[\begin{align} & =\left( 4\times 100 \right)\,+\left( 3\times 10 \right)+1 \\ & =400+30+1 \\ & =431 \end{align}\] Hence, the increasing order of numeral is \[428<431<449\]which is Chinese, Egyptian, Roman numerals.
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