Question

scientific notation of (3x10^5)divided by(5x10^3)

Answer 1

To divide the numbers in scientific notation \((3 \times 10^5)\) by \((5 \times 10^3)\), you can follow these steps:

1. **Divide the coefficients**:
\[
\frac{3}{5} = 0.6
\]

2. **Subtract the exponents of 10**:
\[
10^{5-3} = 10^2
\]

3. **Combine the results**:
\[
0.6 \times 10^2
\]

Since scientific notation typically has a coefficient between 1 and 10, we can express \(0.6\) in this form:

\[
0.6 = 6.0 \times 10^{-1}
\]

Now, substitute this back into the equation:

\[
0.6 \times 10^2 = (6.0 \times 10^{-1}) \times 10^2
\]

Now combine the powers of 10:

\[
6.0 \times 10^{-1 + 2} = 6.0 \times 10^1
\]

Thus, the final answer in scientific notation is:

\[
\boxed{6.0 \times 10^1}
\]