Question

2.5x10^-9 divided by 5x10^-7

Answer 1

To divide \( 2.5 \times 10^{-9} \) by \( 5 \times 10^{-7} \), you can follow these steps:

1. **Divide the coefficients**:
\[
\frac{2.5}{5} = 0.5
\]

2. **Subtract the exponents in the powers of ten**:
\[
10^{-9} \div 10^{-7} = 10^{-9 - (-7)} = 10^{-9 + 7} = 10^{-2}
\]

3. **Combine the results**:
\[
0.5 \times 10^{-2}
\]

4. **Convert to standard scientific notation** (if necessary):
\[
0.5 = 5.0 \times 10^{-1}
\]
Therefore,
\[
0.5 \times 10^{-2} = 5.0 \times 10^{-1} \times 10^{-2} = 5.0 \times 10^{-3}
\]

Thus, the final answer is:
\[
\boxed{5.0 \times 10^{-3}}
\]