Question

Find the quotient in scientific notation. 2.49x10^-5/3x10^-9

Answer 1

To divide the numbers in scientific notation \( \frac{2.49 \times 10^{-5}}{3 \times 10^{-9}} \), we can separate the coefficients from the powers of ten.

1. **Divide the coefficients:**
\[
\frac{2.49}{3} \approx 0.83
\]

2. **Subtract the exponents:**
\[
10^{-5} \div 10^{-9} = 10^{-5 - (-9)} = 10^{-5 + 9} = 10^{4}
\]

3. **Combine the results:**
\[
0.83 \times 10^{4}
\]

4. **Convert to proper scientific notation:**
To convert \( 0.83 \) to scientific notation, we write it as \( 8.3 \times 10^{-1} \). Therefore:

\[
0.83 \times 10^{4} = 8.3 \times 10^{-1} \times 10^{4} = 8.3 \times 10^{4 - 1} = 8.3 \times 10^{3}
\]

Thus, the final result in scientific notation is:
\[
\boxed{8.3 \times 10^{3}}
\]