# How many ml is in 2 liters?

Mar 28, 2016

$2000 \textcolor{w h i t e}{i} m L$

#### Explanation:

To determine the number of millilitres in $2$ litres, we need to use a conversion factor. A conversion factor is a ratio expressed as a fraction that can be used to convert between units.

For example:

• $\left(1 \textcolor{w h i t e}{i} \text{day")/(24color(white)(i)"hours}\right)$
• $\left(1 \textcolor{w h i t e}{i} \text{minute")/(60color(white)(i)"seconds}\right)$
• $\left(12 \textcolor{w h i t e}{i} \text{things")/(1color(white)(i)"dozen}\right)$

To convert $2 \textcolor{w h i t e}{i} L$ to $m L$, multiply $2 \textcolor{w h i t e}{i} L$ by the conversion factor:

$\frac{1000 \textcolor{w h i t e}{i} m L}{1 \textcolor{w h i t e}{i} L}$

Thus:

$2 \textcolor{w h i t e}{i} L \times \frac{1000 \textcolor{w h i t e}{i} m L}{1 \textcolor{w h i t e}{i} L}$

The "$L$" unit cancels out in the numerator and denominator.

$2 \textcolor{red}{\cancel{\textcolor{b l a c k}{L}}} \times \frac{1000 \textcolor{w h i t e}{i} m L}{1 \textcolor{red}{\cancel{\textcolor{b l a c k}{L}}}}$

Solve.

$\textcolor{g r e e n}{| \overline{\underline{\textcolor{w h i t e}{\frac{a}{a}} 2000 \textcolor{w h i t e}{i} m L \textcolor{w h i t e}{\frac{a}{a}} |}}}$