The Hindu-Arabic numeral system

Hindu-Arabic numeral system

The Hindu–Arabic numeral system or Hindu numeral system is a positional decimal numeral system developed between the 1st and 5th centuries by Indian mathematicians, adopted by Persian and Arab mathematicians , and spread to the western world...

is a decimal place-value numeral system. It requires a zero

0 (number)

0 is both a numberand the numerical digit used to represent that number in numerals.It fulfills a central role in mathematics as the additive identity of the integers, real numbers, and many other algebraic structures. As a digit, 0 is used as a placeholder in place value systems...

 to handle the empty powers of ten (as in "205").

Its glyphs are descended from the Indian Brahmi numerals. The full system emerged by the 8th to 9th centuries, and is first described in Al-Khwarizmi's On the Calculation with Hindu Numerals (ca. 825

825

Year 825 was a common year starting on Sunday of the Julian calendar.- Europe :* Egbert of Wessex defeats Beornwulf of Mercia at Ellandun. Kent, Surrey, Sussex and Essex submit to Wessex and East Anglia acknowledges Egbert as overlord.* Emperor Louis the Pious of the Franks wars against the Wends...

), and Al-Kindi

Al-Kindi

' , known as "the Philosopher of the Arabs", was a Muslim Arab philosopher, mathematician, physician, and musician. Al-Kindi was the first of the Muslim peripatetic philosophers, and is unanimously hailed as the "father of Islamic or Arabic philosophy" for his synthesis, adaptation and promotion...

's four volume work On the Use of the Indian Numerals (ca.