Chemistry: An Introduction to General, Organic, and Biological Chemistry (12th Edition)

Published by Prentice Hall
ISBN 10: 0321908449
ISBN 13: 978-0-32190-844-5

Chapter 2 - Section 2.3 - Significant Figures in Calculations - Questions and Problems - Page 33: 2.21c

Answer

$4.73\times10^-3cm$

Work Step by Step

0.004738265cm is rounded to $4.73\times10^-3cm$. Zeros to the left of a non-zero number are not significant, so the first three significant numbers are 473. Due to moving the decimal place to the left, you must put the number in scientific notation. In order for your number to be in scientific notation, you move the decimal 3 places to the right (4.73) and show that you've done that by adding $\times10^-3$
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