Thinking Mathematically (6th Edition)

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

Chapter 4 - Number Representation and Calculation - 4.2 Number Bases in Positional Systems - Concept and Vocabulary Check: 6

Answer

$731$

Work Step by Step

The initial work shows that: $473 = (7 \times 64) + (3 \times 8)+(1 \times 1)$ Writing 64 and 8 in base 8 gives: $473 = (7 \times 8^2) + (3 \times 8^1) + (1 \times 1) \\473 = 731_{\text{eight}}$ Thus, $473_{\text{ten}}=731_{\text{eight}}$ Therefore, the missing expression in the given statement us $731$.
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