# How do you multiply 825.6\times 0.004?

Mar 9, 2017

$825.6 \times 0.004 = 3.3024$

#### Explanation:

From the definition of decimal $825.6 = 825 + \frac{6}{10} = \frac{8256}{10}$

and $0.004 = 0 + \frac{0}{10} + \frac{0}{100} + \frac{4}{1000} = \frac{4}{1000}$

Hence $825.6 \times 0.004$

$= \frac{8256}{10} \times \frac{4}{1000}$

$= \frac{8256 \times 4}{10000}$

$= \frac{33024}{10000} = 3 + \frac{3}{10} + \frac{0}{100} + \frac{2}{1000} + \frac{4}{10000}$

$= 3.3024$