Divide 3.3×10^4

Question

 by 5.5×10^7
.(1 point)
Responses

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

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

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

6×10−5
6 times 10 to the negative 5 power
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Answer 1

To divide the numbers \( 3.3 \times 10^4 \) by \( 5.5 \times 10^7 \), we can use the following steps:

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

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

Putting these together, we have: \[ \frac{3.3 \times 10^4}{5.5 \times 10^7} = 0.6 \times 10^{-3} \]

Next, we can express \( 0.6 \) in scientific notation: \[ 0.6 = 6 \times 10^{-1} \]

So: \[ 0.6 \times 10^{-3} = 6 \times 10^{-1} \times 10^{-3} = 6 \times 10^{-4} \]

Thus, the result of dividing \( 3.3 \times 10^4 \) by \( 5.5 \times 10^7 \) is: \[ 6 \times 10^{-4} \]

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