The State is a small political territory that adds up to make a federation as in the US. The Commonwealth, which is an old name for a state. Both states and Commonwealth possess the same functions. A state is a small political territory made to make governing of a country more manageable.
States are made up of a federation, and they have their governments. All states adhere to the central government or federal government. States only intervene when the way of ruling or law created goes against for which the United States stands.