4. The imaginary unit i is defined as Furthermore

6. Complex Numbers a + bi Real Part a Imaginary Part bi

8. 1. a + bi = -10 + 6i a = b = 2. a + bi = 13 + 4i a = b = 3. (a – 1) + (b + 3)i = 5 + 8i a = b = 4. (a+6) + 2bi = 6 - 5i a = b =

9. Example 1 Express as a multiple of i:

12. Example 2 Perform the indicated operation: Page 284 Problems 1-8

15. Example 3 Perform the indicated operation: Page 284 Problems 9-20

20. Example 4 Divide and express the result in standard form:

21. Example 5 Divide and express the result in standard form: Page 284 Problems 21-28

25. Example 6 Perform the indicated operations and write the result in standard form:

26. Example 7 Perform the indicated operations and write the result in standard form:

27. Example 8 Perform the indicated operations and write the result in standard form: Page 284 Problems 29 - 44

29. Page 284 Problems 45 - 50

30. Additional Practice problems can be found on page 284 - 285 problems 51-83

31. (a) (b) (c) (d) Find the product. (d)

32. (a) (b) (c) (d) Perform the indicated operation. (b)