A decimal "point" is called that because it's written as a dot: . "Fixed point" arithmetic has nothing to do with "fixed point theorems", it's a name collision

A decimal "point" is called that because it's written as a dot: . "Fixed point" arithmetic has nothing to do with "fixed point theorems", it's a name collision. Base ten has nothing to do with the distinction between real and algebraic numbers. If you Google "algebraic vs transcendental number" you'll find many good resources. Pi is an example of a transcendental number.