1. Complex Numbers

2. It's any number you can imagine
The Imaginary Number i
By definition
Consider powers of i
I “one” I “one”
And it is a “negative” sandwich

3. Using i
Now we can handle quantities that occasionally show up in mathematical solutions
What about

4. Complex Numbers Combine real numbers with imaginary numbers Examples
a + bi
Examples
Real part
Imaginary part

5. Try It Out
Write these complex numbers in standard form a + bi

6. Operations on Complex Numbers
Complex numbers can be combined with
addition
subtraction
multiplication
division

7. Add

8. Subtract

9. Multiply

10. Multiply
(2+3i)²

11. Division Division technique
Multiply numerator and denominator by the conjugate of the denominator
What is the conjugate?
Take the second part of the complex number and make it the opposite

12. Division

13. Let’s Practice WS 1.3
Classwork – Evens
Homework - Odds