Kenneth S. answered • 01/16/17

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To illustrate COMPLEX NUMBERS, one can 'plot' them in a coordinate system called the ARGAND PLANE.

There's a horizontal numberline called R (real numberline).

A vertical numberline (Called I) intersects R at right angles, at the 0 value.

Numbers on the horizontal R 'axis' are strictly Reals;

numbers on the vertical I 'axis' are pure imaginary numbers, e.g. i, 5i, -3i and even 0i (a.k.a. Origin).

Any point in the plane having coordinates (a,b) is a complex number, which may be thought of as a+ib.

The Reals are a subset of the Complex numbers