Thinking Mathematically (6th Edition)

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

Chapter 4 - Number Representation and Calculation - Chapter Summary, Review, and Test - Review Exercises - Page 245: 50

Answer

If the values of symbols increase from left to right then the values of the symbol on left is subtracted from the values of symbols on the right.

Work Step by Step

To interpret a Roman numeral, it involves both subtraction and addition. If the values of symbols increase from left to right, then the values of the symbol on left is subtracted from the values of symbols on the right. To explain further consider an example, Assume a Roman numeral\[\text{CMXLIV}\]. \[\begin{align} & \text{CMXLIV = }\left( 1000-100 \right)+\left( 50-10 \right)+\left( 5-1 \right) \\ & =900+\text{40 + 4} \\ & \text{= 944} \end{align}\].
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