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 241: 24

Answer

$2445$

Work Step by Step

$M=1000 \\D=500 \\C=100 \\L=50 \\X=10 \\V=5$ Note that when a smaller number is written before a bigger number, the smaller number is subtracted to the bigger number. Thus, $MMCDXLV \\= 1000+1000+(500-100)+(50-10)+5 \\= 2000+400+40+5 \\=2445$
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