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Depending on context (i.e. language, culture, region, ...) some large numbers have names that allow for describing large quantities in a textual form; not mathematical.For very large values, the text is generally shorter than a decimal numeric representation although longer than scientific notation.
Mathematics: √ 3 ≈ 1.732 050 807 568 877 293, the ratio of the diagonal of a unit cube. Mathematics: the number system understood by most computers, the binary system, uses 2 digits: 0 and 1. Mathematics: √ 5 ≈ 2.236 067 9775, the correspondent to the diagonal of a rectangle whose side lengths are 1 and 2.
The numbers past one trillion in the short scale, in ascending powers of 1000, are as follows: quadrillion, quintillion, sextillion, septillion, octillion, nonillion, decillion, undecillion, duodecillion, tredecillion, quattuordecillion, quindecillion, sexdecillion, septendecillion, octodecillion, novemdecillion and vigintillion (which is 10 to ...
64 (2 6) and 729 (3 6) cubelets arranged as cubes ((2 2) 3 and (3 2) 3, respectively) and as squares ((2 3) 2 and (3 3) 2, respectively) In arithmetic and algebra the sixth power of a number n is the result of multiplying six instances of n together.
Generally, the order of magnitude of a number is the smallest power of 10 used to represent that number. [4] To work out the order of magnitude of a number , the number is first expressed in the following form:
Far larger finite numbers than any of these occur in modern mathematics. For instance, Graham's number is too large to reasonably express using exponentiation or even tetration. For more about modern usage for large numbers, see Large numbers. To handle these numbers, new notations are created and used. There is a large community of ...
The long and short scales are two powers of ten number naming systems that are consistent with each other for smaller numbers, but are contradictory for larger numbers. [1] [2] Other numbering systems, particularly in East Asia and South Asia, have large number naming that differs from both the long and short scales.
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 ]