Decimal Notation

  • Manu V. DevadevanEmail author
Living reference work entry
DOI: https://doi.org/10.1007/978-94-007-3934-5_10288-1

The invention of decimal notation was a landmark in the intellectual history of humankind. Introduced in India during or shortly before the fifth century CE, it reached the Arab world in the following centuries and was transmitted to Europe through the Persian writings of the ninth century mathematician, Abū ‘Abdallāh Muḥammad ibn Mūsā al-Khwārizmī’.

The decimal system involves the use of ten notational signs to indicate the numbers 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. Each of these numbers has an absolute numerical value of its own and a positional value. This positional value, or place value, occurs as units, tens, hundreds, thousands, and so on from the right. Thus, in the number 2,947, for instance, 7 occupies the unit position, 4 has the position of 40, 9 the position of 900, and 2 the position of 2,000. The value multiplies by 10 when a zero is added to the right, so that a zero after 25 makes it 250 and another zero 2,500.

The story of decimal notation is rather protracted. It...

Keywords

Ninth Century Late Ninth Century Decimal System White Horse Century Mathematician 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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References

  1. Flegg, G. (1983). Numbers: Their history and meaning. New York: Dover.Google Scholar
  2. Ifrah, G. (2000). The universal history of numbers: From prehistory to the invention of the computer (translated from the French by David Bellos, E. F. Harding, S. W., & Monk, I.).Google Scholar
  3. Joseph, G. G. (2011). The crest of the peacock: Non-European roots of mathematics (3rd ed.). Princeton, NJ: Princeton University Press.Google Scholar
  4. Kaplan, R. (2000). The nothing that is: A natural history of zero. New York: Oxford University Press.Google Scholar
  5. Plofker, K. (2009). Mathematics in India. Princeton, NJ/Oxford: Princeton University Press.Google Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  1. 1.Archive India Institute, 684-686BhubaneswarIndia