Fundamental units are one of the simplest, yet most important aspects of any type of science. Science is based on observation, theories and experimentation. These things must be documented and their quantities understood to be useful. In fact, this is a necessary fact of every day life.
Suppose you were making a cake. Would you want directions that read " Toss in some flour and egg, then stir for a bit." or would you want something like "Mix 2 cups of flour with one egg and stir for 2 minutes." Fundamental quantity leaves no room for guess work. can you imagine a chemistry experiment with no measurements? It would dangerous and would provide very little insight into any questions at hand. In order for a scientific experiment to be useful, it needs to have the ability to be duplicated. Without fundamental quantities, there would be no way to duplicate an experiment in the exact same manner as the first experiment.
Scientific laws are also based on fundamental quantities. They are used in theories, laws and formulas. Without knowing the fundamental quantities, science would not be capable of answering questions or determining universal laws.