How to Graph Complex Numbers

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Graphing Complex Numbers

To plot complex numbers on the complex plane, follow the steps below.

Find out what part of the given complex number is real and what part is imaginary. For example, the real part of $z \ = \ a \ + \ ib$ is $a$ , and the imaginary part is $b$ .
Make a pair where the first part is real and the second part is imaginary.
For example, the ordered pair for $z \ = \ a \ + \ ib$ is $(a \ , \ b)$
Mark on the plane the point $(a \ , \ b)$ .

Example

Plot $z \ = \ 2 \ + \ 3i$

Solution:

The real number is $2$ , and the imaginary number is $3$ . So, the ordered pair is $(2 \ , \ 3)$ .

The graph below shows the complex number $z \ = \ 2 \ + \ 3i$ :

Graphing Complex Number

Free printable Worksheets

Exercises for Graphing Complex Numbers

1) Graph number in the complex plane: $-3 \ - \ 2i$

2) Graph number in the complex plane: $5 \ - \ i$

3) Graph number in the complex plane: $5 \ + \ 3i$

4) Graph number in the complex plane: $-2 \ + \ 2i$

5) Graph number in the complex plane: $2 \ - \ 2i$

6) Graph number in the complex plane: $4 \ - \ i$

7) Graph number in the complex plane: $-3 \ - \ 5i$

8) Graph number in the complex plane: $-4 \ + \ 4i$

9) Graph number in the complex plane: $2 \ - \ 5i$

10) Graph number in the complex plane: $-4 \ - \ i$

Answers

1) Graph number in the complex plane: $-3 \ - \ 2i$

Graphing Complex Numbers1

2) Graph number in the complex plane: $5 \ - \ i$

Graphing Complex Numbers2

3) Graph number in the complex plane: $5 \ + \ 3i$

Graphing Complex Numbers3

4) Graph number in the complex plane: $-2 \ + \ 2i$

Graphing Complex Numbers4

5) Graph number in the complex plane: $2 \ - \ 2i$

Graphing Complex Numbers5