# How do you evaluate (2.09 \times 10^5)-: (5.006 \times 10^{-3})?

Nov 2, 2014

Let us work on the posted problem step by step.

$\left(2.09 \times {10}^{5}\right) \div i \mathrm{de} \left(5.006 \times {10}^{- 3}\right)$

by rewriting in fraction form,

$= \frac{2.09}{5.006} \times \frac{{10}^{5}}{{10}^{- 3}}$

by computing each factor,

$\approx 0.4175 \times {10}^{8}$

by rewriting in scientific notation,

$= 4.175 \times {10}^{7}$

(Caution: The above is not the exact value but an approximation.)

I hope that this was helpful.