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:

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