Divide 3.3 times 10^4 by 5.5 times 10^7.

Question

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 \( \boxed{6 \times 10^{-4}} \).