Complex Numbers

Contributed by:

Sharp Tutor Tue, Jan 18, 2022 04:21 PM UTC

OBJECTIVES:
1. Simplifying numbers of the form root -b, where b >0.
2. Recognize subsets of complex numbers.
3. Add and subtract complex numbers.
4. Multiply complex numbers.
5. Divide complex numbers.
6. Find powers of i.

1. Copyright © 2010 Pearson Education, Inc. All rights reserved
Sec 9.7 - 1

2. Chapter 9
Roots, Radicals, and Root
Functions
Copyright © 2010 Pearson Education, Inc. All rights reserved
Sec 9.7 - 2

3. 9.7
Complex Numbers
Copyright © 2010 Pearson Education, Inc. All rights reserved
Sec 9.7 - 3

4. 9.7 Complex Numbers
Objectives
1. Simplifying numbers of the form , where
b >0.
2. Recognize subsets of the complex numbers.
3. Add and subtract complex numbers.
4. Multiply complex numbers.
5. Divide complex numbers.
6. Find powers of i.
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 9.7 - 4

5. 9.7 Complex Numbers
Simplify Numbers of the Form , Where b >0
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 9.7 - 5

6. 9.7 Complex Numbers
Simplify Numbers of the Form , where b >0
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 9.7 - 6

7. 9.7 Complex Numbers
Simplify Numbers of the Form , where b >0
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 9.7 - 7

8. 9.7 Complex Numbers
Multiplying Square Roots of Negative Numbers
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 9.7 - 8

9. 9.7 Complex Numbers
Multiplying Square Roots of Negative Numbers
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 9.7 - 9

10. 9.7 Complex Numbers
Dividing Square Roots of Negative Numbers
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 9.7 - 10

11. 9.7 Complex Numbers
Recognize Subsets of the Complex Numbers
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 9.7 - 11

12. 9.7 Complex Numbers
Recognize Subsets of the Complex Numbers
Imaginary
Real part of part of the Pure
the number number imaginary
number
Examples: All written in standard form
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 9.7 - 12

13. 9.7 Complex Numbers
Adding and Subtracting Complex Numbers
Adding
Subtracting
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 9.7 - 13

20. 9.7 Complex Numbers
Simplifying Powers of i
Examples:
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 9.7 - 20

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