Algebra Series - Concepts and Formulas™
Fundamental Properties and Operations on Complex Numbers (ALG-CF20)

This sheet provides a comprehensive review of all of the most important topics, concepts and formulas fully covering the fundamental properties and operations on complex numbers, explained in detail, with detailed
illustrations. Unlike charts and notes, this Concepts and Formulas™ sheet anticipates and answers questions about how to use the concepts - how to solve problems with them, it doesn't just list facts and formulas. There is even an example, or two, for each concept, to help you to nail down the central ideas.

Topics Covered:

• The imaginary unit i
• Complex numbers
• Complex numbers in standard form
• The real and imaginary parts of a complex number
• How to determine equivalence of complex numbers
• Powers of i
• How to simply complex numbers
• How to rationalize denominators in complex numbers
• How to add complex numbers
• How to subtract complex numbers
• How to multiply complex numbers
• Properties of complex numbers
• Conjugate and Modulus properties of complex numbers
• How to divide complex numbers
• How to solve equations with complex numbers