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

6×10−3
6 times 10 to the negative 3 power

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

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

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

Answer 1

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

1. Divide the coefficients: \[ \frac{3.3}{5.5} = 0.6 \]

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

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

To express \(0.6\) in scientific notation, it can be rewritten as \(6 \times 10^{-1}\). Therefore, we can substitute this into our previous result:

\[ 6 \times 10^{-1} \times 10^{-3} = 6 \times 10^{-4} \]

Thus, the final answer is: \[ 6 \times 10^{-4} \]

So the correct response is:

6×10−4 (6 times \(10\) to the negative 4 power)