Over 70 different fatty acids and all have a carboxyl group (-COOH) with a hydrocarbon chain attached. If this chain has no carbon-carbon double bonds, the fatty acid is SATURATED, as all carbon atoms are linked to max number of hydro atoms, (saturated with hydro atoms. If there's a single double bond, it's MONO-SATURATED, or if more than one double bond is present, it's POLYUNSATURATED.