1. Complex Numbers - Definition The number i is given by: We can also write the following: Numbers in the form of bi, where b is a real number, are called Pure Imaginary Numbers.

2. Another definition regarding imaginary numbers is as follows. Example 1: Simplify: where a is a real number

3. Example 2: Determine the product:

4. A complex number is given by… Example 3: where a and b are real numbers. All of the following are complex numbers:

5. Example 4: Put the complex number in standard a+bi form.

6. When a radical is involved, the i usually precedes the radical, to make it clear the i is not under the radical. Example 5: would be written as …