Q16. - Algebra 2

Question

Evaluate $\frac{8\times {10}^{-1}}{16\times {10}^{-2}}$ . Express the result in scientific notation.

Step-by-Step Solution

Answer

The scientific notation of the given number is $5\times {10}^0$ .

Step 1. Write down the given expression.

The given number is $\frac{8\times {10}^{-1}}{16\times {10}^{-2}}$ .

Step 2. Expressing the given number in scientific notation.

The number  $\frac{8\times {10}^{-1}}{16\times {10}^{-2}}$ in scientific notation is expressed as:

$\begin{array}{c}\frac{8\times {10}^{-1}}{16\times {10}^{-2}}=\frac{8}{16}\times \frac{{10}^{-1}}{{10}^{-2}}\\ =0.5\times {\left(10\right)}^1\\ =0.5\times {\left(10\right)}^1\times \frac{10}{10}\mathrm{....}\left(\begin{array}{l}\text{Multiply and}\\ \text{divide by }10\end{array}\right)\\ =5\times {10}^0\end{array}$

Step 3. Conclusion.

The scientific notation of the given number is  $5\times {10}^0$.