 ## How to Graph Complex Numbers

### 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 $$z \ = \ 2 \ + \ 3i$$: ### 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: $$-3 \ - \ 2i$$ 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: $$-4 \ - \ i$$ ## Graphing Complex Numbers Practice Quiz

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