## Thinking Mathematically (6th Edition)

Published by Pearson

# Chapter 4 - Number Representation and Calculation - 4.4 Looking Back at Early Numeration Systems - Exercise Set 4.4 - Page 241: 34

#### Answer

$\overline{IV}DLXXVIII$

#### Work Step by Step

RECALL: $M=1000 \\D=500 \\C=100 \\L=50 \\X=10 \\V=5 \\I=1$ (1) When a smaller numeral is written before a bigger numeral, the smaller numeral is subtracted to the bigger numeral. (2) When a bar is written on top, the value is multiplied by 1000. Note that: $4578 = 4000+500 + 70 + 8 \\4578= 4000 + 500 + 50 + 10 + 10 + 5 + 1 + 1 + 1 \\4578=\overline{IV}DLXXVIII$

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