### You will need

- Pen and paper

### What to do

- Let’s start at the start. To write a 1, simply draw a dot!
- The numbers 2, 3 and 4 are equally easy – just put the right number of dots, sideways in a row.
- The number 5 is a horizontal line. To make 6 to 9, put dots above the line.
- To make 10, put a second horizontal line below the first. You can add dots to make the numbers 11–14, a third line to make 15, and more dots to make 16–19.
- Here’s where it gets interesting! Our number system is based on 10, which is written as a 1 and a 0. Maya numbers are based around the number 20, so in Maya numbers, 20 is a 1 and a 0. So write a dot for the 1 and leave a gap below it. Then below the gap, draw a clamshell – the Mayan symbol for zero.
- To write numbers from 21–39, think of them as 20 plus something. For example, 31 is 20 + 11, so draw a dot, then a gap, then a dot and two lines (11 in Mayan!).
- To write numbers up to 399, think of the number as ‘some 20s + something’. For example, 165 is eight 20s, plus five. To write this, draw three dots and a line (8), then a gap, and finally a line (5).
- 399 is nineteen 20s plus 19, which makes it the largest number you can write with two Mayan ‘digits’. To write 400, think of it as twenty 20s. So 400 is written as a dot, a gap, a clamshell, a gap and a second clamshell.

### What’s happening?

The remarkable Maya civilisation lasted for thousands of years, until they were conquered by the Spanish more than 300 years ago. They invented a full written language, and also had an advanced number system.

Although it looks basic – almost like tally marks – the Maya number system is very sophisticated. It is one of the oldest number systems with a zero. This symbol dates back to at least 36 BCE, when the Roman Empire was still using Roman numerals.

You might have some difficulty using Maya numbers, because they are based around the number 20 rather than the number 10. But there’s actually no reason why our 10-based system is easier to use. You only find our numbers easier because that’s what you were taught!

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