Skills CheckPerform the indicated operation.

2 21. (3 4 7) (5 4 10)

2. (3 2)( 5)

x x x x

x x

Find the area & perimeter of the rectangle.

3. Perimeter = ____

4. Area = ____

2x + 1

2x – 3

Powers of iand Complex Operations

1 i 1. 16

2. 81

3. 45

4. 200

Add to the sheet “I one, I Add to the sheet “I one, I one!!”one!!”

Negatives in the middle.Negatives in the middle.

1

1

i

i

1

2

3

4

i

i

i

i

.25

.5

.75

0

13

27

54

72

5.

6.

7.

8.

i

i

i

i

Try these!

Graphing in Graphing in thethe

Complex Complex PlanePlane

The Complex The Complex PlanePlane

Ordered Pairs

rea imaginal ry

a bi

Identify the points

i34

i52

i22

i34

A

B

CD

Add and Add and Subtract Subtract Complex Complex NumbersNumbers

Add/Subt Complex Numbers

1.Treat the i’s like variables2.Combine the real parts

then combine the imaginary parts

3.Simplify (no powers of i higher than 1)

4.Write your answer in standard form a + bi

Add/Subt Complex Numbers

4 3 4 3

9. (3 2 ) (7 6)

10. (6 5 ) (1 2 )

11. (9 4 ) (2 3 )

12. 9 (10 2 ) 5

13. (11 4 ) (2 6 )

i i

i i

i i

i i

i i i i

Multiplying Multiplying Complex Complex NumbersNumbers

Multiplying Complex Numbers

1.Treat the i’s like variables

2.Change all imaginaries (i) that are not to the first power

3.Simplify4.Write your answer in

standard form a + bi

Multiplying Complex Numbers

14. (3 )i i 23 ii )1(3 i

i31

Multiplying Complex Numbers

15. (2 3 )( 6 2 )i i 2618412 iii )1(62212 i

62212 ii226

Multiplying Complex Numbers

16. 3 8 5

17. 4 3 4 3

18. 2 1 4

19. 3 2 5 9

i i

i i

i i

i i

ConjugatesConjugates

ConjugateConjugate

2 4 2 4i i

Dividing Dividing Complex Complex NumbersNumbers

CW/HWCW/HWComplex Numbers – Practice Worksheet