Question

scientific notation of 1.04 × 10^4 ÷ 2.496 × 10^10

Answer 1

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

1. Divide the coefficients (the numbers before the \( \times 10^n \)).
2. Subtract the exponents of the \( 10 \) terms.

Given:
\[
\frac{1.04 \times 10^4}{2.496 \times 10^{10}}
\]

**Step 1**: Divide the coefficients:
\[
\frac{1.04}{2.496} \approx 0.416
\]

**Step 2**: Subtract the exponents:
\[
10^{4 - 10} = 10^{-6}
\]

Now combine the results:
\[
0.416 \times 10^{-6}
\]

**Step 3**: Convert \( 0.416 \) into proper scientific notation:
\[
0.416 = 4.16 \times 10^{-1}
\]

Thus,
\[
0.416 \times 10^{-6} = 4.16 \times 10^{-1} \times 10^{-6}
\]
\[
= 4.16 \times 10^{-7}
\]

So the final result in scientific notation is:
\[
\boxed{4.16 \times 10^{-7}}
\]