🔬 Discovery

Al-Uqlidisi's decimal fractions

Fracciones decimales de al-Uqlidisi

Date
952-953 · confidence high
Place
Damascus, Syria
Credited to
Abu al-Hasan al-Uqlidisi
Field
Knowledge & symbols

⚠️ Disputed: the sources disagree.

What was discovered

His Kitab al-Fusul fi al-Hisab al-Hindi is the earliest surviving text to use decimal fractions with a separating mark, adapting Indian arithmetic to calculation with ink and paper instead of a dust board.

Its use is still limited; the systematic theory of decimal fractions is due to al-Samawal (1172) and al-Kashi (1427), earlier than Simon Stevin (1585). The manuscript was discovered by A. S. Saidan in 1960 (not 1966).

What it led to

  • written calculation using Indian numerals
  • decimal fractions of al-Samawal and al-Kashi
  • modern decimal arithmetic
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Sources✓ verified 2026-09-25