# Mayan Numeration System

### Kelly Phutthavong

## Basis of the Numeration System

## Calculations

Addition in the Mayan Numeration involves adding symbols, like in base 10, and carrying it to the next place value when the previous one contains more than it can hold. You simply add lines to lines and dots to dots.

When subtracting we must also look at how many pebbles and sticks we have in each position. But in order to subtract we may need to make some sticks into pebbles.

Multiplication in the Mayan Numeration System is very similar to the Hindu Arabic system. It becomes more difficult once the numbers get bigger.

## Division

Division in this numeration system maintains the advantage of non-place-value systems in that it is not necessary at each step to determine the exact number to times the divided can be divided by the divisor.

Below represents the problem 246/6.

## Additional Information

This system is believed to have been used because, since the Mayan's lived in such a warm climate and there was rarely a need to wear shoes, 20 was the total number of fingers and toes, thus making the system workable.

The Mayan’s contributed the 360 day calendar, which they used base 18 when dealing with the calendar — each month contained 20 days within 18 months to a year. Resulting with five days left at the end of the year which was a month in itself that was filled with danger and bad luck to the Mayans. This lead to the Mayans inventing the 365 day calendar which revolved around the solar system.

## Citations

Mikelle, Mercer. "The Mayan Number System." *Number Systems*. N.p., n.d. Web. 9 Dec. 2015. <http://www.math.wichita.edu/history/topics/num-sys.html#mayan>.

Morely, G. "The Maya Arithmetic." N.p., n.d. Web. 11 Dec. 2015. <http://mathsforeurope.digibel.be/Numerals.htm>.

"Maya Mathematics." N.p., n.d. Web. 10 Dec. 2015. <http://www.world-destiny.org/maya/mayamath.htm>.

"THE MAYA MATHEMATICAL SYSTEM." N.p., n.d. Web. 11 Dec. 2015. <http://www.mayacalendar.com/mayacalendar/f-mayamath.html>.

Hubbard, Jamie. "Mayan Numerals." N.p., n.d. Web. 10 Dec. 2015. <http://mathcentral.uregina.ca/RR/database/RR.09.00/hubbard1/MayanNumerals.html>.

Anderson, W. French. "Arithmetic in Maya Numerals." N.p., n.d. Web. 11 Dec. 2015. <http://www.latinamericanstudies.org/maya/maya-arithmetic.pdf>.