Question

Divide in Scientific Notation Quick Check
2 of 52 of 5 Items
Question
Divide 3.3×104
by 5.5×107
.(1 point)
Responses

6×10−5
6 times 10 to the negative 5 power

6×10−4
6 times 10 to the negative 4 power

6×10−6
6 times 10 to the negative 6 power

6×10−3

Answer 1

To divide \(3.3 \times 10^4\) by \(5.5 \times 10^7\), you can follow these steps:

1. Divide the coefficients (the numbers in front):
\[
\frac{3.3}{5.5} = 0.6
\]

2. Subtract the exponents of the powers of 10:
\[
10^{4 - 7} = 10^{-3}
\]

3. Combine the results:
\[
0.6 \times 10^{-3}
\]

4. To express it in proper scientific notation, convert \(0.6\) to \(6.0\) and adjust the exponent:
\[
0.6 \times 10^{-3} = 6.0 \times 10^{-4}
\]

The answer in scientific notation is:
\[
6 \times 10^{-4}
\]

So, the correct response is:
**6×10−4 (6 times 10 to the negative 4 power)**.