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In Hebrew and other Middle Eastern traditions, the number 40 is used to express a large but unspecific number, [24] [22] as in the Hebrew Bible's "forty days and forty nights", Ali Baba and the Forty Thieves, and the Forty Martyrs of Sebaste. [25] [26] This usage is sometimes found in English as well (for example, "forty winks"). [27] [28]
The English language has a number of words that denote specific or approximate quantities that are themselves not numbers. [1] Along with numerals, and special-purpose words like some, any, much, more, every, and all, they are quantifiers. Quantifiers are a kind of determiner and occur in many constructions with other determiners, like articles ...
In English, these higher words are hundred 10 2, thousand 10 3, million 10 6, and higher powers of a thousand (short scale) or of a million (long scale—see names of large numbers). These words cannot modify a noun without being preceded by an article or numeral (* hundred dogs played in the park ), and so are nouns.
If n is large any of the above can be used for expressing it. Similarly a function h , etc. can be introduced. If many such functions are required, they can be numbered instead of using a new letter every time, e.g. as a subscript, such that there are numbers of the form f k m ( n ) {\displaystyle f_{k}^{m}(n)} where k and m are given exactly ...
Two naming scales for large numbers have been used in English and other European languages since the early modern era: the long and short scales. Most English variants use the short scale today, but the long scale remains dominant in many non-English-speaking areas, including continental Europe and Spanish-speaking countries in Latin America.
Scientific notation for expressing large and small numbers; Sign-value notation, using signs or symbols to represent numbers; Positional notation also known as place-value notation, in which each position is related to the next by a multiplier which is called the base of that numeral system Binary notation, a positional notation in base two