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History of large numbers; Indefinite and fictitious numbers; Indian numbering system – Indian convention of naming large numbers; Japanese numerals – Number words used in the Japanese language; Knuth's up-arrow notation – Method of notation of very large integers; Law of large numbers – Averages of repeated trials converge to the ...
These words are intended to denote a number that is large enough to be unfathomable and are typically used as hyperbole or for comic effect. They have no precise value or order. They form ordinals and fractions with the usual suffix -th, e.g. "I asked her for the jillionth time", or are used with the suffix "-aire" to describe a wealthy person.
A standardized way of writing very large numbers allows them to be easily sorted in increasing order, and one can get a good idea of how much larger a number is than another one. To compare numbers in scientific notation, say 5×10 4 and 2×10 5, compare the exponents first, in this case 5 > 4, so 2×10 5 > 5×10 4.
Kasner used it to illustrate the difference between an unimaginably large number and infinity, and in this role it is sometimes used in teaching mathematics. To put in perspective the size of a googol, the mass of an electron, just under 10 −30 kg, can be compared to the mass of the visible universe, estimated at between 10 50 and 10 60 kg. [ 5 ]
Billion is a word for a large number, and it has two distinct definitions: 1,000,000,000, i.e. one thousand million, or 10 9 (ten to the ninth power), as defined on the short scale. This is now the most common sense of the word in all varieties of English; it has long been established in American English and has since become common in Britain ...
Trillion is a number with two distinct definitions: 1,000,000,000,000 , i.e. one million million , or 10 12 (ten to the twelfth power ), as defined on the short scale . This is now the meaning in both American and British English.
-yllion (pronounced / aɪ lj ən /) [1] is a proposal from Donald Knuth for the terminology and symbols of an alternate decimal superbase [clarification needed] system. In it, he adapts the familiar English terms for large numbers to provide a systematic set of names for much larger numbers.
Such a number is algebraic and can be expressed as the sum of a rational number and the square root of a rational number. Constructible number: A number representing a length that can be constructed using a compass and straightedge. Constructible numbers form a subfield of the field of algebraic numbers, and include the quadratic surds.