Divide 3.3×10^4 by 5.5×10^7

Question

5.5
×
10
7
.(1 point)
Responses

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

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

6×10−6
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:
   \[ \frac{3.3}{5.5} = 0.6 \]

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

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

To express this in scientific notation:
\[ 0.6 = 6.0 \times 10^{-1} \]

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

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

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