Decimal the Roman numerals did, an intermediate base of 5. Notably, the polymath Archimedes (ca. 287–212 BC) invented a decimal positional system in his Sand Reckoner which was based on 10 and later led the German mathematician Carl Friedrich Gauss to lament what heights science would have already reached in his days if Archimedes had fully realized the potential of his ingenious discovery. The Hittites hieroglyphs (since 15th century BC), just like the Egyptian and early numerals in Greece, was strictly decimal. Some non-mathematical ancient texts like the Vedas dating back to 1900–1700 BCE make use of decimals and mathematical decimal
Repeating decimal repetition. Examples of such irrational numbers are the square root of 2 and . There are several notational conventions for representing repeating decimals. None of them are accepted universally. In English, there are various ways to read repeating decimals aloud. For example, formula_1 may be read "one point three repeating", "one point three repeated", "one point three recurring", or "one point three into infinity". In order to convert a rational number represented as a fraction into decimal form, one may use long division. For example, consider the rational number 5/74: etc. Observe that at each step we have a remainder;