God gave the 613 commandments to our nation at Sinai. They are so important because they are "the King's decrees."
Let me explain with a parable. Imagine that the president calls you to his office and gives you 10 million dollars and a strange gadget. He tells you to take the gadget home, put it by the open window, and turn it on every day between four and five in the afternoon, and that it's a matter of national security. He tells you that the 10 million is yours so long as you continue to do your task faithfully every day. You would certainly do it, even though you didn't understand why, because you know that the president has access to special information and technology that you don't have. You would feel sure that somehow this gadget has some function that, even though you don't understand it, is crucial for national security.
So too, even though we don't understand the ultimate reason for all the commandments, but since God Himself told us to do them and told us that they are so important, we certainly believe Him. He took us out of slavery in Egypt and gave us the Land of Israel in order for us to do the commandments; as the Torah says regarding the laws of keeping kosher, that we should observe them, "Because I am the Lord your God, who raised you up out of the land of Egypt to be your God." (Leviticus 11:45)
