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The Hindu–Arabic numeral system is a decimal place-value numeral system that uses a zero glyph as in "205". [1]Its glyphs are descended from the Indian Brahmi numerals.The full system emerged by the 8th to 9th centuries, and is first described outside India in Al-Khwarizmi's On the Calculation with Hindu Numerals (ca. 825), and second Al-Kindi's four-volume work On the Use of the Indian ...
The Hindu–Arabic system is designed for positional notation in a decimal system. In a more developed form, positional notation also uses a decimal marker (at first a mark over the ones digit but now more commonly a decimal point or a decimal comma which separates the ones place from the tenths place), and also a symbol for "these digits recur ad infinitum".
They are also called Western Arabic numerals, Western digits, European digits, [1] Ghubār numerals, or Hindu–Arabic numerals [2] due to positional notation (but not these digits) originating in India. The Oxford English Dictionary uses lowercase Arabic numerals while using the fully capitalized term Arabic Numerals for Eastern Arabic ...
Liber Abaci was among the first Western books to describe the Hindu–Arabic numeral system and to use symbols resembling modern "Arabic numerals". By addressing the applications of both commercial tradesmen and mathematicians, it promoted the superiority of the system and the use of these glyphs. [2]
12th century — Indian numerals have been modified by Persian mathematicians al-Khwārizmī to form the modern Arabic numerals (used universally in the modern world.) 12th century — the Arabic numerals reach Europe through the Arabs. 1202 — Leonardo Fibonacci demonstrates the utility of Hindu–Arabic numeral system in his Book of the Abacus.
Brahmi numerals are a numeral system attested in the Indian subcontinent from the 3rd century BCE. It is the direct graphic ancestor of the modern Hindu–Arabic numeral system. However, the Brahmi numeral system was conceptually distinct from these later systems, as it was a non-positional decimal system, and did not include zero. Later ...
Sexagesimal numerals were used in commerce, as well as for astronomical and other calculations. In Arabic numerals, sexagesimal is still used today to count time (second per minute; minutes per hour), and angles .
Lam Lay Yong has hypothesised that Hindu–Arabic numeral system originated in China. This is based on her comparative studies on Chinese counting rods system. She states that the rod numerals and the Hindu numerals have a few features in common. These are nine signs, concept of zero, a place value system, and decimal base. [6]