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: 2.26a

Answer

$7.40\times10^4$

Work Step by Step

In multiplication and division, the answer has the same number of significant figures as the number in the original problem that has the FEWEST significant digits. $400\times185$ = 74,000 should be rounded to $7.40\times10^4$ because in the original problem the least number of significant figures is 3. The only way you can show the value of the answer is by putting it into scientific notation. In order to obtain your answer in scientific notation, you move the decimal point to the left until there is only one digit to the left of the decimal point. Because you moved it 4 places to the left, you will show that by writing $\times10^4$.
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