Question

Divide. Express your answer in scientific notation.
StartFraction 6.6 times 10 Superscript negative 4 Over 3 times 10 Superscript negative 3 EndFraction
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Part 1
StartFraction 6.6 times 10 Superscript negative 4 Over 3 times 10 Superscript negative 3 EndFraction
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​(Use scientific notation. Use the multiplication symbol in the math palette as​ neede

Answer 1

To divide the numbers in scientific notation, you can follow these steps:

1. Divide the coefficients (the numbers before the powers of 10).
2. Subtract the exponents of the base 10.

Let's apply these steps to your problem:

\[
\frac{6.6 \times 10^{-4}}{3 \times 10^{-3}} = \frac{6.6}{3} \times 10^{-4 - (-3)}
\]

1. Divide the coefficients:
\[
\frac{6.6}{3} = 2.2
\]

2. Subtract the exponents:
\[
-4 - (-3) = -4 + 3 = -1
\]

Now, combine these results:
\[
2.2 \times 10^{-1}
\]

Finally, express it in scientific notation:
\[
2.2 \times 10^{-1}
\]

Your answer in scientific notation is:
\[
\boxed{2.2 \times 10^{-1}}
\]