1. A system to teach mathematics of the base 10 number system comprising: at least one peg defining a receptacle, the position of the receptacle signifying an increment of 10; at least one shaft sized so that an end of the at least one shaft may be inserted into the receptacle; at least one cube defining a sleeve sized to allow the at least one shaft to be inserted through the sleeve, the at least one cube signifying a unit value; at least one divider defining an open slot, the slot sized to allow the at least one shaft to fit into the slot; at least one tray defining a peg receptacle, the peg receptacle sized to allow insertion of at least one peg into the peg receptacle, and wherein manipulation of the cube, the at least one shaft, the at least one divider, and the at least one peg are configured to represent values of whole numbers of the base 10 number system.