Real and imaginary parts of complex numbers

The  exercise appears under the Algebra II Math Mission. This exercise practices determining the real and the imaginary parts of complex numbers.

Types of Problems
There are two types of problem in this exercise:
 * 1) What are the real and imaginary parts of ___?: This problem has an expression with an imaginary number. The student is expected to find and type the real and imaginary parts of the expression. Real and imaginary parts of complex numbers.PNG


 * 1) Find the real and imaginary parts of ___.: This problem has an expression with an imaginary number. The student is expected to find and type the real and imaginary parts of the expression then select it from the multiple choice list.Real and imaginary parts of complex numbers2.PNG

Strategies
Knowledge of numerical operations and polynomial operations are encouraged to ensure success on this exercise.
 * 1) Complex numbers are numbers of the form $$z=a+b=a+bi$$, where $$i$$ is the imaginary unit and $$a$$ and $$b$$ are real numbers.

Real-life Applications

 * 1) Complex numbers have applications as models in non-Euclidean geometries.
 * 2) Complex numbers are used to create fractal images.
 * 3) Complex numbers are a natural extension of the real numbers.