section_path: Mathematics
section_name: Mathematics
paragraph_text: Mathematics
  
  In common with the other Mesoamerican civilizations, the Maya used a base 20 (vigesimal) system. The bar-and-dot counting system that is the base of Maya numerals was in use in Mesoamerica by 1000 BC; the Maya adopted it by the Late Preclassic, and added the symbol for zero. This may have been the earliest known occurrence of the idea of an explicit zero worldwide, although it may have been later than the Babylonian system. The earliest explicit use of zero occurred on monuments dated to 357 AD. In its earliest uses, the zero served as a place holder, indicating an absence of a particular calendrical count. This later developed into a numeral that was used to perform calculation, and was used in hieroglyphic texts for more than a thousand years, until the writing system was extinguished by the Spanish.
  
  The basic number system consists of a dot to represent one, and a bar to represent five. By the Postclassic period a shell symbol represented zero; during the Classic period other glyphs were used. The Maya numerals from 0 to 19 used repetitions of these symbols. The value of a numeral was determined by its position; as a numeral shifted upwards, its basic value multiplied by twenty. In this way, the lowest symbol would represent units, the next symbol up would represent multiples of twenty, and the symbol above that would represent multiples of 400, and so on. For example, the number 884 would be written with four dots on the lowest level, four dots on the next level up, and two dots on the next level after that, to give 4×1 + 4×20 + 2×400 = 884. Using this system, the Maya were able to record huge numbers. Simple addition could be performed by summing the dots and bars in two columns to give the result in a third column.