# How do you convert 2.21 x 10 ^-4 dl into microliters?

##### 1 Answer

#### Explanation:

You can use *liters* as a base for this conversion.

You know that you have two conversion factors here

#"1 L" = "10 dL "# and#" 1 L" = 10^6mu"L"#

This means that you can convert the volume from deicliters to liters first, then from liters to microliters

#2.21 * 10^(-4)color(red)(cancel(color(black)("dL"))) * (1color(red)(cancel(color(black)("L"))))/(10color(red)(cancel(color(black)("dL")))) * (10^6mu"L")/(1color(red)(cancel(color(black)("L")))) = color(green)(2.21 * 10^(-1)mu"L")#

Alternatively, you can use the two conversion factors to find a single conversion factor that will take you from deciliters to microliters *without* going through liters.

#{ ("1 L" = "10 dL"), ("1 L" = 10^6mu"L") :} implies "10 dL" = 10^6mu"L"#

Therefore, you know that

#"1 dL" = 10^6/10mu"L" = 10^5mu"L"#

The conversion will now look like this

#2.21 * 10^(-4)color(red)(cancel(color(black)("dL"))) * (10^5mu"L")/(1color(red)(cancel(color(black)("dL")))) = color(green)(2.21 * 10^(-1)mu"L")#