Divide in Scientific Notation Quick Check

Question

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).