Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter P - Section P.2 - Exponents and Scientific Notation - Exercise Set - Page 31: 122

Answer

$3.1536 \times 10^{7}$

Work Step by Step

1. 365 days $\times$ 24 hours per day = 8760 hours 2. 8760 hours $\times$ 60 minutes per hour = 525,600 minutes 3. 525,600 minutes $\times$ 60 seconds per minute = 31,536,000 seconds Therefore, there are 31,536,000 seconds in one year. To put this answer in scientific notation: 1. Put the decimal point after the first digit: 3.1536000 2. Count how many decimal places we moved from the right. In this case, that would be seven. Raise 10 to that power: $10^{7}$ 3. Drop the final 0s on the decimal portion and multiply it by the exponent portion: $3.1536 \times 10^{7}$
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