Question

How many ml is in 2 liters?

Answer 1

`2000color(white)(i)mL`

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:

• `(1color(white)(i)"day")/(24color(white)(i)"hours")`
• `(1color(white)(i)"minute")/(60color(white)(i)"seconds")`
• `(12color(white)(i)"things")/(1color(white)(i)"dozen")`

To convert `2color(white)(i)L` to `mL`, multiply `2color(white)(i)L` by the conversion factor:

`(1000color(white)(i)mL)/(1color(white)(i)L)`

Thus:

`2color(white)(i)Lxx(1000color(white)(i)mL)/(1color(white)(i)L)`

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

`2color(red)cancelcolor(black)Lxx(1000color(white)(i)mL)/(1color(red)cancelcolor(black)L)`

Solve.

`color(green)(|bar(ul(color(white)(a/a)2000color(white)(i)mLcolor(white)(a/a)|)))`