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In a previous unit, we learned that numbers are classified according to common characteristics and type. In that unit we grouped numbers into one of eight categories and located those categories on a “Number Tree”. At the top of this tree are the Complex Numbers. Using our definitions of sets and subsets, we described every number on the number tree as a subset of the Complex Numbers. In essence, all numbers are complex. In this unit we will examine the basic features of Complex Numbers and their mathematical properties. We will perform algebraic operations on Complex Numbers and we will introduce the Complex Number Plane in order to graph complex numbers and study their magnitude.

Imaginary and Complex Numbers (04:35)

Complex Numbers and Voltage (04:27)

Graphing Complex Numbers (01:50)

Below are additional educational resources and activities for this unit.

The Fundamental Theorem of Algebra

Properties of Complex Numbers