Mayan Mathematics

Instead of ten digits like we have today, the Maya used a base number of 20. (Base 20 is vigesimal.) They also used a system of bar and dot as "shorthand" for counting. A dot stood for one and a bar stood for five.

Because the base of the number system was 20, larger numbers were written down in powers of 20. We do that in our decimal system too: for example 32 is 3x10+2. In the Maya system, this would be 1x20+12, because they used 20 as base.

Numbers were written from bottom to top.

Below you can see how the number 32 was written:

  • 20's (1)
  • 1's (12)


Here's an example of a simple addition:

  • 8000's
  • 400's
  • 20's + =
  • 1's
  • 9449 + 10425 = 19874

As you can see, adding is just a matter of adding up dots and bars! Maya merchants often used cocoa beans, which they laid out on the ground, to do these calculations.

Base twenty was also used in their calendar, which is a major portion of these pages because calendars are developed by astronomers for keeping track of time.