# How do you simplify and write (9.2 times 10^6) div (2.3 times 10^2) in scientific notation?

Oct 17, 2016

$4 \times {10}^{3}$

#### Explanation:

We can approach this calculation in two different ways:
Write the division as a fraction:

$\frac{9.2 \times {10}^{6}}{2.3 \times {10}^{3}} = \frac{92 \times {10}^{6}}{23 \times {10}^{3}}$

Divide the numbers and subtract the indices:

$= 4 \times {10}^{3}$

OR:

Re-arrange the factors:
$\left(9.2 \div 2.3\right) \times \left({10}^{6} \div {10}^{3}\right)$

$= 4 \times {10}^{3}$