1. Complex Numbers
Chapter 5, Section 9

2. What are complex numbers?
Complex numbers are numbers in the form of a+bi where a and b are real numbers, and i is an imaginary number.
i is NOT a variable, it is a number!!

3. Cycles of i
The imaginary number i is a cyclic number:

4. Operations with Complex Numbers
Works just like real numbers
On the calculator, need to be in a+bi mode

5. Powers of i
To simplify the expression in, divide n by 4 and see what is left over.
What is left over is now the new exponent for i.
Examples:

6. Solving equations with complex solutions.
Examples

7. Your turn Exit Slip Homework NCSCOS 1.02 Handout
EOC pages 15, 16, 35, 36