# How do you calculate  (8.887 times 10^1) /( 9.1 times 10^-2)?

Apr 27, 2016

Scientific: $\frac{8.887}{9.1} \times {10}^{3}$ as an exact value

Divided and rounded as scientific
$0.9766 \times {10}^{3} \to 9.766 \times {10}^{2}$ to 3 decimal places

#### Explanation:

Given:$\frac{8.887 \times {10}^{1}}{9.1 \times {10}^{- 2}}$

Note that ${10}^{1} = 10$

We also have $\frac{1}{10} ^ \left(- 2\right)$ This means that the ten is moved to the numerator giving: $\frac{1}{{10}^{- 2}} = {10}^{2}$

Write as: $\frac{8.887 \times 10 \times {10}^{2}}{9.1}$

$\frac{8.887}{9.1} \times {10}^{3}$

The question does not state if the solution is required in scientific form or decimal. It is usual practice to use the same format as the question unless instructed otherwise.

I suspect that $8.887 \div 9.1$ is an irrational number in that the decimal never stops. So a decimal solution would have to be rounded. Whereas $\frac{8.887 \times {10}^{3}}{9.1}$ is an exact value