Question

scientific 1.04 x 10^4 /division sign/ 2.496 x 10^10

Answer 1

To divide the two numbers in scientific notation \(1.04 \times 10^4\) and \(2.496 \times 10^{10}\), follow these steps:

1. **Divide the coefficients (the numbers in front):**
\[
\frac{1.04}{2.496} \approx 0.416
\]

2. **Subtract the exponents (since you are dividing powers of 10):**
\[
10^{4 - 10} = 10^{-6}
\]

3. **Combine the results:**
\[
0.416 \times 10^{-6}
\]

4. **Convert to proper scientific notation:**
We need to express \(0.416\) in standard scientific notation:
\[
0.416 = 4.16 \times 10^{-1}
\]
So,
\[
0.416 \times 10^{-6} = 4.16 \times 10^{-1} \times 10^{-6} = 4.16 \times 10^{-7}
\]

Thus, the result of \( \frac{1.04 \times 10^4}{2.496 \times 10^{10}} \) is:

\[
4.16 \times 10^{-7}
\]