Question

3.2 times 10 power 4 / 4.82 times 10 power 12

Answer 1

To simplify the expression \( \frac{3.2 \times 10^4}{4.82 \times 10^{12}} \), we can break it down into two parts: the coefficients and the powers of 10.

1. **Coefficients:**
\[
\frac{3.2}{4.82} \approx 0.663
\]

2. **Powers of 10:**
\[
\frac{10^4}{10^{12}} = 10^{4-12} = 10^{-8}
\]

Now, combining both results, we have:
\[
\frac{3.2 \times 10^4}{4.82 \times 10^{12}} \approx 0.663 \times 10^{-8}
\]

To express this in scientific notation, we convert \( 0.663 \) to \( 6.63 \) by moving the decimal point one place to the right, which adds \( 1 \) to the exponent of 10:
\[
0.663 \times 10^{-8} = 6.63 \times 10^{-9}
\]

Thus, the final answer is:
\[
\frac{3.2 \times 10^4}{4.82 \times 10^{12}} \approx 6.63 \times 10^{-9}
\]