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Arithmetic in Maya Numerals

Published online by Cambridge University Press:  20 January 2017

W. French Anderson*
Affiliation:
National Institutes of Health

Abstract

Arithmetical procedures, including addition, subtraction, multiplication, division, and square root extraction, are demonstrated using the Maya numerals. All procedures can be carried out efficiently. The Maya system is relatively unique in that it combines properties of both place-value and non-place-value numerical systems. The Babylonian system, discussed briefly, also utilizes a mixture of properties from the two systems. In order to take into account the unique hybrid characteristics of these two systems, as well as the subtractive principle of the Roman numerals, we here define a third category of numerical systems designated as mixed-place-value in type. The three types of numerical systems are compared and the advantages and disadvantages of each are mentioned. The evolutionary development of numerical systems in relation to the mathematical needs of societies is discussed.

Type
Research Article
Copyright
Copyright © The Society for American Archaeology 1971

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References

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