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Chapter 0: Problem 99

Perform the indicated computations. Write the answers in scientific notation. If necessary, round the decimal factor in your scientific notation answer to two decimal places. $$\frac{4.8 \times 10^{-2}}{2.4 \times 10^{6}}$$

Short Answer

Expert verified
The result is \(2 \times 10^{-8}\).

Step by step solution

01

Convert from Scientific Notation to Decimal Notation

We're given \(4.8 \times 10^{-2}\) and \(2.4 \times 10^{6}\). To transform these from scientific notation to normal decimal notation, we shift the decimal point. For \(4.8 \times 10^{-2}\), we move the decimal point two places to the left, yielding 0.048. For \(2.4 \times 10^{6}\), we shift the decimal point six places to the right, resulting in 2,400,000.
02

Perform the Calculation

Now, we divide the two numbers we calculated in the previous step: \(\frac{0.048}{2400000} = 2 \times 10^{-8}\).
03

Convert Back to Scientific Notation

Recognizing that 2 falls between 1 and 10, this is correct scientific notation. Therefore, the final result in scientific notation is \(2 \times 10^{-8}\).

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Most popular questions from this chapter

Determine whether each statement makes sense or does not make sense, and explain your reasoning. I factored \(4 x^{2}-100\) completely and obtained \((2 x+10)(2 x-10)\)

Find the intersection of the sets. $$\\{1,3,5,7\\} \cap\\{2,4,6,8,10\\}$$

What is a perfect square trinomial and how is it factored?

Determine whether each statement makes sense or does not make sense, and explain your reasoning. First factoring out the greatest common factor makes it easier for me to determine how to factor the remaining factor, assuming that it is not prime.

$$\text { factor completely.}$$ $$-x^{2}-4 x+5$$
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