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### Number and algebra

### Geometry and measure

### Probability and statistics

### Working mathematically

### For younger learners

### Advanced mathematics

# Visualising and Representing Complex Numbers

### A Brief Introduction to Complex Numbers

### A Brief Introduction to the Argand Diagram

### Complex Squares

## You may also like

### Making Sense of Statistics

### Integration as Area

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Links to the NRICH website Home page

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If you have never met complex numbers before, these problems offer a gentle introduction before challenging you to use different representations to visualise what happens when complex numbers are manipulated in different ways.

Age 14 to 18

Challenge Level

In this problem, we define complex numbers and invite you to explore what happens when you add and multiply them.

Age 14 to 18

Challenge Level

Complex numbers can be represented graphically using an Argand diagram. This problem explains more...

Age 16 to 18

Challenge Level

What happens when we square complex numbers? Can the square of a complex number be real?

This collection of problems has been put together to help you to explore and understand important ideas in statistics.

These problems invite you to explore integration as area, and use area integrals to solve problems.