1. Add/Subt Complex Numbers
Treat the i’s like variables
Combine like terms
Simplify (no powers of i higher than 1 are allowed)
Answer in standard form a + bi

2. Adding and Subtracting complex numbers just like polynomial adding or subtracting

3. Adding and Subtracting complex numbers just like polynomial adding or subtracting

4. Adding and Subtracting complex numbers just like polynomial adding or subtracting

5. Adding and Subtracting complex numbers just like polynomial adding or subtracting

6. Adding and Subtracting complex numbers just like polynomial adding or subtracting

7. Adding and Subtracting complex numbers just like polynomial adding or subtracting

8. Conjugate will be needed to Rationalize the Denominator (which means “get rid of the i on the bottom”)
-The conjugate of a + bi is a – bi
-The conjugate of a – bi is a + bi

9. Find the conjugate of each number…1) 2) 3) 4)

11. Simplify
5 3+2𝑖 1)
15−10𝑖 13

12. 2)

13. Graphing a Complex Number

14. Absolute Value of a Complex Number
3+5𝑖|
Def: The distance from the origin to the point.
Use the distance formula:
𝑑= ( 𝑎−0) 2 + (𝑏−0) 2
𝑑= 𝑎 2 + 𝑏 2

15. Absolute Value of a Complex Number
3+5𝑖|
Use the distance formula:
𝑑= ( 3−0) 2 + (5−0) 2 𝑑=
𝑑= 9+25
𝑑= 34
Note: Leave the i out of the formula

16. Story Time
John and Betty's Journey into Complex Numbers