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The reception of Arabic numerals in the West was gradual and lukewarm, as other numeral systems circulated in addition to the older Roman numbers. As a discipline, the first to adopt Arabic numerals as part of their own writings were astronomers and astrologists, evidenced from manuscripts surviving from mid-12th-century Bavaria.
Mixed Roman and Arabic numerals are sometimes used in numeric representations of dates (especially in formal letters and official documents, but also on tombstones). The month is written in Roman numerals, while the day is in Arabic numerals: "4. VI.1789" and "VI.4.1789" both refer unambiguously to 4 June 1789.
"A base is a natural number B whose powers (B multiplied by itself some number of times) are specially designated within a numerical system." [1]: 38 The term is not equivalent to radix, as it applies to all numerical notation systems (not just positional ones with a radix) and most systems of spoken numbers. [1]
The Hindu–Arabic numeral system then spread to Europe due to merchants trading, and the digits used in Europe are called Arabic numerals, as they learned them from the Arabs. The simplest numeral system is the unary numeral system , in which every natural number is represented by a corresponding number of symbols.
Hellenistic and Roman astronomers used a base-60 system based on the Babylonian model (see Greek numerals § Zero). Before positional notation became standard, simple additive systems (sign-value notation) such as Roman numerals were used, and accountants in ancient Rome and during the Middle Ages used the abacus or stone counters to do ...
The Eastern Arabic numerals, also called Indo-Arabic numerals or Arabic-Indic numerals as known by Unicode, are the symbols used to represent numerical digits in conjunction with the Arabic alphabet in the countries of the Mashriq (the east of the Arab world), the Arabian Peninsula, and its variant in other countries that use the Persian numerals on the Iranian plateau and in Asia.
The Hindu–Arabic numeral system (also known as the Indo–Arabic numeral system, [1] Hindu numeral system, and Arabic numeral system) [2] [note 1] is a positional base-ten numeral system for representing integers; its extension to non-integers is the decimal numeral system, which is presently the most common numeral system.
The direction of numerals follows the writing system's direction. Writing is from left to right in Greek, Coptic, Ethiopic, Gothic, Armenian, Georgian, Glagolitic, and Cyrillic alphabetic numerals along with Shirakatsi's notation. Right-to-left writing is found in Hebrew and Syriac alphabetic numerals, Arabic abjad numerals, and Fez numerals.