Question

Divide 3.3 times 10^4 by 5.5 times 10^7.
6 times 10^-3
6 times 10^-4
6 times 10^-5
6 times 10^-6

Answer 1

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

1. Divide the coefficients (the numbers in front).
2. Subtract the exponents (the powers of 10).

Given the numbers:
\[
\frac{3.3 \times 10^4}{5.5 \times 10^7}
\]

**Step 1: Divide the coefficients**

\[
\frac{3.3}{5.5} = 0.6
\]

**Step 2: Subtract the exponents**

\[
10^{4 - 7} = 10^{-3}
\]

Now, combine the results:

\[
0.6 \times 10^{-3}
\]

To express this in proper scientific notation, we can convert \(0.6\) to \(6.0\) and subtract \(1\) from the exponent:

\[
0.6 \times 10^{-3} = 6.0 \times 10^{-4}
\]

Therefore, the result of dividing \(3.3 \times 10^4\) by \(5.5 \times 10^7\) is:

\[
6 \times 10^{-4}
\]

So, the correct answer is \( \boxed{6 \times 10^{-4}} \).