text: A line drawn through the origin at right angles to the real number line can be used to represent the imaginary numbers .
simplified: There is another number line , equally valid and useful , that extends vertically through 0 ( the origin ) at right angles to our traditional number line and uses imaginary numbers ( i ) also extending into infinity . These so called imaginary numbers extend above and below the traditional number line and are used in very real calculations in many areas of science and technology .