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Imaginary/Complex Numbers Intro

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

Which of the following are complex numbers?

a)

-3

b)

5i

c)

3+4i

d)

0

2.

Which of the following are real numbers?

a)

2i

b)

1-i

c)

3

d)

0+2i

3.

Which of the following are imaginary numbers?

a)

0

b)

−1\sqrt{-1}

c)

-i

d)

4-2i

4.

Simplify:  i15i^{15}  

a)

i

b)

-1

c)

-i

d)

1

5.

Simplify:  i125i^{125}  

a)

i

b)

-1

c)

-i

d)

1

6.

Simplify:  i512i^{512}  

a)

i

b)

-1

c)

-i

d)

1

7.

Which graph represents the complex number  3−4i3-4i  ?

a)
b)
c)
d)
8.

What complex number is graphed here?

a)

-4+2i

b)

2-4i

c)

4-2i

d)

2i-4

9.

Simplify: ∣−1−5i∣\left|-1-5i\right|  

a)

 1+5i1+5i  

b)

 26\sqrt{26}  

c)

 6\sqrt{6}  

d)

 6i6i  

10.

Simplify:  ∣2−2i∣\left|2-2i\right|  

a)

 2+2i2+2i  

b)

 00  

c)

 8\sqrt{8}  

d)

 222\sqrt{2}