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Chapter 2: Problem 41

Do the following calculations, and write the answers in scientific notation. $$\begin{array}{l}{\text { a. } 37000000 \times 7100000} \\ {\text { b. } 0.000312 / 486} \\ {\text { c. } 4.6 \times 10^{4} \mathrm{cm} \times 7.5 \times 10^{3} \mathrm{cm}}\end{array}$$

Short Answer

Expert verified
The answers are: a. \(2.63\times10^{14}\), b. \(6.42\times10^{-7}\), c. \(3.45\times10^{8} cm^2\).

Step by step solution

01

Multiply in part a.

Multiply the given numbers. \(37000000 \times 7100000 = 2.627\times10^{14}\). The result in scientific notation is \(2.627\times10^{14}\)
02

Divide in part b.

Divide the given numbers. \(0.000312 / 486 = 6.41975308642\times10^{-7}\). The result in scientific notation is \(6.42\times10^{-7}\). Keep only three significant figures.
03

Multiply in part c.

Multiply the given numbers in scientific notation. \(4.6 \times 10^{4} cm \times 7.5\times 10^{3} cm = 3.45\times10^{8} cm^2\). The result in scientific notation is \(3.45\times10^{8} cm^2\). Keep only three significant figures.

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Most popular questions from this chapter

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