# Arithmetic of Complex Numbers

With this applet you can learn about complex numbers, how to add, subtract, multiply and divide them, find their real and imaginary parts and their conjugates.

###### Author and programmer: Ron Barrow

GCE Further Mathematics - Complex numbers - OCR, Edexcel, AQA, MEI FP1

TweetInstructions below See also: Complex nth roots Complex transformations

## How to Use this Applet

The main part of this screen is an **Argand diagram** of
the **complex plane**. Complex numbers can be represented by
points on that plane. The horizontal axis is the **real** axis,
and the vertical axis is the **imaginary** axis.

You can move the points representing the complex numbers z1 and z2 by
clicking and dragging with your mouse.

The numbers are written at the bottom left in **Cartesian** form, and at the bottom right in **Modulus-Argument** form. You can chose different operations to perform on z1 and z2 from the drop-down menu at the top of the screen.

Play around! There is a great deal to learn here, but you should quickly
develop a feel for the behaviour of complex numbers.