Question

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:

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