# Question #ac0f8

Jan 27, 2015

So, you're dealing with a unit conversion that must get you from $\text{cL}$, or centiliters, to $\text{nL}$, or nanoliters.

One centiliter is equal to ${10}^{- 2} \text{L}$, and one nanoliter is equal to ${10}^{- 9} \text{L}$, so you're going from something small to something even smaller. This means that the result must be a bigger number than 35.7, since there are more nanoliters in a liter than there are centiliters in a liter.

You can do this by going to liters first

$\text{35.7 cL" * ("1 L")/(10^2 "cL") * (10^9"nL")/("1 L") = 35.7 * 10^(7)"nL}$

or by going directly from centiliters to nanoliters

$\text{35.7 cL" * ("1 nL")/(10^(-7)"cL") = 35.7 * 10^(7)"nL}$

Because 1 liter has ${10}^{2}$ centiliters and ${10}^{9}$ nanoliters, one centiliter will have

$\text{1 cL" * ("1 nL")/(10^(-7)"cL") = 10^7"nL}$

Unit conversions like this one will become a walk in the park once you'll get comfortable with the SI metric prefixes