The imaginary unit i is defined as Furthermore

Complex Numbers a + bi Real Part a Imaginary Part bi

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

Example 1 Express as a multiple of i:

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

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

Example 4 Divide and express the result in standard form:

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

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

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

Example 8 Perform the indicated operations and write the result in standard form: Page 284 Problems

Page 284 Problems

Additional Practice problems can be found on page problems 51-83

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

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