Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Skills Handbook - Scientific Notation and Significant Digits - Exercises: 16

Answer

$$2.0\times 10^{1}$$

Work Step by Step

In scientific notation, the number of significant digits is the number of digits in the leading number between $1$ and $10$. The final answer should have the same number of significant digits as the least number of significant digits in any of the numbers involved in the division: $6.48\times 10^{6}$ has $3$ significant digits $3.2\times 10^{5}$ has $2$ significant digits. Therefore, the final answer should be rounded to have $2$ significant digits. Rearrange factors and divide: $$\frac{6.48\times 10^{6}}{3.2\times 10^{5}}=\bigg(\frac{6.48}{3.2}\bigg)\bigg(\frac{10^{6}}{10^{5}}\bigg)=2.0\times 10^{1}.$$
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