Thinking Mathematically (6th Edition)

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

Chapter 4 - Number Representation and Calculation - 4.3 Computation in Positional Systems - Exercise Set 4.3: 7

Answer

$1302_{seven}$

Work Step by Step

Rightmost column: 5+4=9=1$\times$7+2=$12_{seven}$ record the 2, carry the 1. . $( \ \ \ 1 \ \ )$ . ( 6 4 5 $)_{seven}$ +( 3 2 4 $)_{seven}$ $\_\_\_\_\_\_\_$ $ (\ \ \ \ \ \ \ \ 2 )_{seven}$ Next column: $1+4+2=7=1\times7+0\times1=10_{seven}$ record 0, carry 1, . $( \ 1 \ 1 \ \ )$ . ( 6 4 5 $)_{seven}$ +( 3 2 4 $)_{seven}$ $\_\_\_\_\_\_\_$ $ (\ \ \ \ \ 0 \ 2 )_{seven}$ Next column: $1+6+3=10=1\times7+1\times1=13_{seven}$ record 13 . $( \ 1 \ 1 \ \ )$ . ( 6 4 5 $)_{seven}$ +( 3 2 4 $)_{seven}$ $\_\_\_\_\_\_\_$ $ ( 1 \ 3 \ 0 \ 2 )_{seven}$
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