# How do you convert a volume of 8 deciliters to liters?

Sep 15, 2016

$\text{8 decilitres}$ $\equiv$ $0.8 \cdot L$

#### Explanation:

$\text{1 decilitre}$ $\equiv$ $1 \times {10}^{-} 1 \cdot L$,

$\text{8 decilitres}$ $\equiv$ $8 \times {10}^{-} 1 \cdot L$ $=$ $0.8 \cdot L$.

$\text{deci}$ $\equiv$ ${10}^{-} 1$.

Note that $1 \cdot {\mathrm{dm}}^{-} 3$ $=$ ${\left(1 \times {10}^{-} 1 m\right)}^{3}$ $=$ ${10}^{-} 3 \cdot {m}^{3}$ $=$ $1 \cdot L$, because there are ${10}^{3} L \cdot {m}^{-} 3$.