Maya Numeration System

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Mayan numeration systemThe Mayan numeration system evolved around A.D. 300. It is a sophisticated

system as you will see below.

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It uses 3 basic numerals to represent any possible number: a dot for one, a

horizontal bar for 5, and a conch shell for zero.

They used the 3 symbols above to represent the numbers from 0 through 19 asshown below:

For number bigger than 19, a number is written in a vertical position so that it

becomes a vertical place value system

Initially, the base used in the Mayan numeration system was base 20 and their

place values were 1, 20, 202,203, ...

Then, they changed their place values to 1, 20, 20 18, 20 2 18, 203 18, ...

Using the base 20, 1, 20, 202,203, ..., we can write 20 as follow:

In the ones place we have 0 and in the twenties place we have 1, so the number

is 0 1 + 1 20 = 0 + 20 = 20

Still using a base of 20, we can write 100 as follow:

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0 1 + 5 20 = 0 + 20 = 100

Here is how to represent 2007

5 202+ 0 20 + 7 = 5 400 + 0 + 7 = 2000 + 7 = 2007

How do we know which number is in what place value?. This is complicated part

in the Mayan numeration system

Starting from the bottom, a place value must have a number from the listabove(1-19)

Tease your brain with the following number. What is it?

Look carefully and see how I separated the place values

Again, I separated according to numbers that are the list above from 1 through

19

The number is: 14 + 7 20 + 1 202+ 3 20 3+ 0 20 4+ 15 20 5+ 5 20 6

The number is 14 + 140 + 1 400 + 3 8,000 + 0 + 15 3,200,000 + 5 64,000,000

The number is = 14 + 140 + 400 + 24,000 + 0 + 48,000,000 + 320,000,000 =

368024554

With the base 1, 20, 20 18, 202 18, 203 18, ... computation is done the exact

same way!

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Group as shown below:

The number is 11 1 + 1 20 + 10 20 18 = 11 + 20 + 3600 = 3631

No doubt, the Mayan mumeration system was sophisticated

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