division using scientific notation 3.2 x 10^4 / 4.82 x 10^12

Answer 1

To divide numbers in scientific notation, you can follow these steps:

1. Divide the coefficients (the numbers in front).
2. Subtract the exponents of the 10s.

Given: \[ \frac{3.2 \times 10^4}{4.82 \times 10^{12}} \]

1. Divide the coefficients: \[ \frac{3.2}{4.82} \approx 0.663 (rounded to three decimal places) \]

2. Subtract the exponents: \[ 10^{4 - 12} = 10^{-8} \]

Now combine the results: \[ 0.663 \times 10^{-8} \]

To express this in standard scientific notation, we want the coefficient to be between 1 and 10. Therefore, we adjust:

\[ 0.663 \times 10^{-8} = 6.63 \times 10^{-9} \]

Thus, the final result of the division is:

\[ \boxed{6.63 \times 10^{-9}} \]