Question

8.03x10^-8x4..82x10^12

Answer 1

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

1. **Multiply the coefficients:** \( 8.03 \times 4.82 \)
2. **Add the exponents:** \( 10^{-8} \times 10^{12} \)

Let's calculate it step by step:

1. **Coefficients:**
\[
8.03 \times 4.82 \approx 38.6856
\]

2. **Exponents:**
\[
10^{-8} \times 10^{12} = 10^{-8 + 12} = 10^{4}
\]

Now combine the results:
\[
38.6856 \times 10^{4}
\]

In proper scientific notation, you want the coefficient to be between 1 and 10. So, we can rewrite \( 38.6856 \) as \( 3.86856 \times 10^{1} \). Thus, we have:
\[
3.86856 \times 10^{1} \times 10^{4} = 3.86856 \times 10^{5}
\]

Therefore, the final result is approximately:
\[
3.87 \times 10^{5} \quad (\text{rounded to three significant figures})
\]