Question

Evaluate$\frac{6.3\times {10}^5}{1.4\times {10}^3}$ . Express the result in scientific notation.

Short answer

The scientific notation of the given number is$4.5\times {10}^2$.

Step-by-step solution

Step 1. Write down the given expression.

The given number is $\frac{6.3\times {10}^5}{1.4\times {10}^3}$.

Step 2. Expressing the given number in scientific notation.

The number $\frac{6.3\times {10}^5}{1.4\times {10}^3}$ in scientific notation is expressed as:

$\begin{array}{c}\frac{6.3\times {10}^5}{1.4\times {10}^3}=\frac{6.3}{1.4}\times \frac{{10}^5}{{10}^3}\\ =\frac{6.3}{1.4}\times {10}^2\\ =4.5\times {10}^2\end{array}$

Step 3. Conclusion.

The scientific notation of the given number is$4.5\times {10}^2$.