# How many liters are in 2.10 kiloliter?

##### 1 Answer

#### Explanation:

Before doing any calculations, make sure that you understand what you're looking for here.

The **metric system** uses *prefixes* to denote **multiples** or **fractions** of basic units.

In order to get from a basic unit to a *multiple*, you multiply by powers of

In your case, the **kilo-** prefix is used to denote a *multiple* if the basic unit, which here is the **liter**. So, in order to go from *liters* to *kiloliters*, you must multiply by

In essence, this means that you have

#"1 kL" = 10^3"L"#

Simply put, you need

This means that you will have

#2.10 color(red)(cancel(color(black)("kL"))) * (10^3"L")/(1color(red)(cancel(color(black)("kL")))) = "2100 L"#

In order to express this number rounded to three sig figs, you need to use *scientific notation*. The answer will thus be

#"2.10 kL" = color(green)(2.10 * 10^3"L")#