For the majority of our math career we work solely with real numbers such as basic integers, decimals, fractions, and even pi. Real numbers can be represented on a numbers line. Then we looked at the use of imaginary units such i and Pi times i. Now we introduce the concept of complex numbers that basically crash both worlds together. For example, if we used the real numbers 8 and 1.5 and the imaginary unit 2i we could create a complex number in the form of x= 8(2i) + 1.5. Complex numbers make simplification nearly impossible in a lot of instances.
Below you will find basic and advanced uses of complex numbers.