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: 19

Answer

$$3.77\times 10^{10}$$

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: $8.90\times 10^{8}$ has $3$ significant digits $2.36\times 10^{-2}$ has $3$ significant digits. Therefore, the final answer should be rounded to have $3$ significant digits. Rearrange factors and divide: $$\frac{8.90\times 10^{8}}{2.36\times 10^{-2}}=\bigg(\frac{8.90}{2.36}\bigg)\bigg(\frac{10^{8}}{10^{-2}}\bigg)=3.77\times 10^{10}.$$
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