Multiply complex numbers by real or imaginary numbers

The  exercise appears under the Algebra II Math Mission and Precalculus Math Mission. This exercise practices multiplying complex numbers by single terms that are either real or pure imaginary.

Types of Problems
There is one type of problem in this exercise:


 * 1) Multiply the complex numbers by the real or imaginary numbers: This problem has complex numbers that are supposed to be multiplied by real or imaginary numbers. The student is expected to find the correct product and write it in the space provided.Multiply complex numbers by real or imaginary numbers.PNG

Strategies
Knowledge of numerical operations and polynomial operations are encouraged to ensure success on this exercise.
 * 1) Student's answers should be a complex number in the form $$a+bi$$, where $$a$$ and $$b$$ are real numbers.
 * 2) The product of complex numbers are performed by using distribution and then replacing $$i^2$$ with the value of $$-1$$.
 * 3) The value of $$(a+bi)(c+di)$$ is $$(ac-bd)+(bc+ad)i$$.

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.