# How do you convert 3.9 x 10^5 mg into decigrams?

Jul 20, 2015

The prefix $m$ (milli) means $\frac{1}{1000}$ or ${10}^{-} 3$

Deci (prefix $d$) means $\frac{1}{10}$ or ${10}^{-} 1$

#### Explanation:

So $1000 m g = 1 g \mathmr{and} 10 \mathrm{dg} = 1 g \to 100 m g = 1 \mathrm{dg}$
The conversion factor is: divide by $100 = {10}^{2}$

$\frac{3.9 \cdot {10}^{5}}{10} ^ 2 = 3.9 \cdot {10}^{5 - 2} = 3.9 \cdot {10}^{3} \mathrm{dg} = 3900 \mathrm{dg}$

Btw:
$\mathrm{dg}$ is hardly ever used. $m g , g , k g$ are the usual weight measures.
(and the metric ton for heavy stuff).