# How do you evaluate 99.3\times 92?

Dec 19, 2016

$\frac{91356}{10}$ or $9 135.6$

#### Explanation:

We can start by rewriting these numbers as fractions.

$99.3 \times 92 = \frac{993}{10} \times \frac{92}{1}$

Now we can multiply,

$\frac{\left(900 \times 90 + 900 \times 2\right) + \left(90 \times 90 + 90 \times 2\right) + \left(3 \times 90 + 3 \times 2\right)}{10}$

$= \frac{\left(81000 + 1800\right) + \left(8100 + 180\right) + \left(270 + 6\right)}{10}$

$= \frac{82800 + 8280 + 276}{10}$

$= \frac{91356}{10}$

to write as a decimal we need to move the decimal point one place to the left, because the number is divided by a $10$ to the power one.

$\frac{91356}{10} = 9135.6$