How to Graph Complex Numbers

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: \(-4 \ - \ i\)

 

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

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

Graphing Complex Numbers6

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

Graphing Complex Numbers7

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

Graphing Complex Numbers

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

Graphing Complex Numbers9

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

Graphing Complex Numbers10

Graphing Complex Numbers Practice Quiz