Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 1 - Section 1.7 - Scientific Notation - Exercise Set - Page 91: 86

Answer

The statement is false. $$\frac{8 \times 10^{30}}{4 \times 10^{-5}}= 2\times10^{35}$$

Work Step by Step

$$\frac{8 \times 10^{30}}{4 \times 10^{-5}} = 2\times10^{25}$$ Recall the division of numbers in scientific notation: $\frac{a \times 10^{n}}{b \times 10^{m}} = (\frac{a}{b}) \times 10^{n-m}$ Thus, $$\frac{8 \times 10^{30}}{4 \times 10^{-5}} = (\frac{8}{4}) \times 10^{30-(-5)}$$ $$=2 \times 10^{35}$$ The statement is false.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.