The addition operation is defined as follows, given two complex numbers and :

Notice that the only real parts can be added to real parts and only complex parts can be added to complex parts. The subtraction operation is defined similarly.

Examples :

- What are Complex Numbers
- Addition and Subtraction
- Multiplication
- Modulus and the Complex Plane
- Division
- Phasor
- Applications of Complex Numbers

*Filed under : Crash Courses, Mathematics*

**Sources used**

- Complex Variables and Applications by James Ward Brown and Ruel V. Churchill
- Complex Analysis by Serge Lang
- Chaos and Fractals by Pietgen, Jurgens and Saupe
- Fundamentals of Electric Circuits by Charles K. Alexander and Matthe N.O. Sadiku