Thinking Mathematically (6th Edition)

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

Chapter 4 - Number Representation and Calculation - Chapter 4 Test - Page 246: 11

Answer

The base ten numeral is\[223\].

Work Step by Step

To convert any numeral to base ten, we multiply each digit of the given number with increasing powers of base value from the right side, according to places. \[\begin{align} & {{267}_{\text{nine}}}\,=2\times {{9}^{2}}+\,6\times {{9}^{1}}\,+7\times {{9}^{0}} \\ & =2\times 81\,+6\times 9\,+\,7\times 1 \\ & =162\,+54\,+7 \\ & =223 \end{align}\] Hence, the base ten numeral is\[223\].
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