3142:, the division stops eventually, producing a decimal numeral, which may be prolongated into an infinite expansion by adding infinitely many zeros. If the rational number is not a decimal fraction, the division may continue indefinitely. However, as all successive remainders are less than the divisor, there are only a finite number of possible remainders, and after some place, the same sequence of digits must be repeated indefinitely in the quotient. That is, one has a
3306:
2303:. In practice, measurement results are often given with a certain number of digits after the decimal point, which indicate the error bounds. For example, although 0.080 and 0.08 denote the same number, the decimal numeral 0.080 suggests a measurement with an error less than 0.001, while the numeral 0.08 indicates an absolute error bounded by 0.01. In both cases, the true value of the measured quantity could be, for example, 0.0803 or 0.0796 (see also
3621:
3404:
6035:
268:
3493:
38:
3567:
3510:
3587:
3577:
3572:
2197:
4016:
hundred-like numbers by using intermediate units, such as stones and pounds, rather than a long count of pounds. Goodare gives examples of numbers like vii score, where one avoids the hundred by using extended scores. There is also a paper by W.H. Stevenson, on 'Long
Hundred and its uses in England'.
3350:
For most purposes, however, binary values are converted to or from the equivalent decimal values for presentation to or input from humans; computer programs express literals in decimal by default. (123.1, for example, is written as such in a computer program, even though many computer languages are
3484:
The
Egyptian hieratic numerals, the Greek alphabet numerals, the Hebrew alphabet numerals, the Roman numerals, the Chinese numerals and early Indian Brahmi numerals are all non-positional decimal systems, and required large numbers of symbols. For instance, Egyptian numerals used different symbols
3370:
Decimal arithmetic is used in computers so that decimal fractional results of adding (or subtracting) values with a fixed length of their fractional part always are computed to this same length of precision. This is especially important for financial calculations, e.g., requiring in their results
3995:
The existence of a non-decimal base in the earliest traces of the
Germanic languages is attested by the presence of words and glosses meaning that the count is in decimal (cognates to "ten-count" or "tenty-wise"); such would be expected if normal counting is not decimal, and unusual if it were.
4015:
details the use of the long hundred in
Scotland in the Middle Ages, giving examples such as calculations where the carry implies i C (i.e. one hundred) as 120, etc. That the general population were not alarmed to encounter such numbers suggests common enough use. It is also possible to avoid
923:
1894:
3517:
Starting from the 2nd century BCE, some
Chinese units for length were based on divisions into ten; by the 3rd century CE these metrological units were used to express decimal fractions of lengths, non-positionally. Calculations with decimal fractions of lengths were
3086:
In summary, every real number that is not a decimal fraction has a unique infinite decimal expansion. Each decimal fraction has exactly two infinite decimal expansions, one containing only 0s after some place, which is obtained by the above definition of
3582:
3562:
2591:
3669:
also uses a straightforward decimal system. All numbers between 10 and 20 are formed regularly (e.g. 11 is expressed as "tizenegy" literally "one on ten"), as with those between 20 and 100 (23 as "huszonhárom" = "three on twenty").
304:. Very large numbers were difficult to represent in these old numeral systems, and only the best mathematicians were able to multiply or divide large numbers. These difficulties were completely solved with the introduction of the
4262:
of a measurement. For example, "15.00 m" may indicate that the measurement error is less than one centimetre (0.01 m), while "15 m" may mean that the length is roughly fifteen metres and that the error may exceed
3354:
Both computer hardware and software also use internal representations which are effectively decimal for storing decimal values and doing arithmetic. Often this arithmetic is done on data which are encoded using some variant of
3749:
have imported the
Chinese decimal system. Many other languages with a decimal system have special words for the numbers between 10 and 20, and decades. For example, in English 11 is "eleven" not "ten-one" or "one-teen".
740:
732:
571:
5150:
In numbers distinguished thus by a period in their midst, whatever is written after the period is a fraction, the denominator of which is unity with as many cyphers after it as there are figures after the
3600:
introduced fractions to
Islamic countries in the early 9th century CE, written with a numerator above and denominator below, without a horizontal bar. This form of fraction remained in use for centuries.
279:
of ancient civilizations use ten and its powers for representing numbers, possibly because there are ten fingers on two hands and people started counting by using their fingers. Examples are firstly the
2192:{\displaystyle 1=2^{0}\cdot 5^{0},2=2^{1}\cdot 5^{0},4=2^{2}\cdot 5^{0},5=2^{0}\cdot 5^{1},8=2^{3}\cdot 5^{0},10=2^{1}\cdot 5^{1},16=2^{4}\cdot 5^{0},20=2^{2}\cdot 5^{1},25=2^{0}\cdot 5^{2},\ldots }
2698:
5144:
1741:
3646:
introduced using the period (.) to separate the integer part of a decimal number from the fractional part in his book on constructing tables of logarithms, published posthumously in 1620.
469:
4011:
p. 293, gives number names that belong to this system. An expression cognate to 'one hundred and eighty' translates to 200, and the cognate to 'two hundred' translates to 240.
2809:
3002:
3177:
The converse is also true: if, at some point in the decimal representation of a number, the same string of digits starts repeating indefinitely, the number is rational.
4770:
Coppa, A.; et al. (2006). "Early
Neolithic tradition of dentistry: Flint tips were surprisingly effective for drilling tooth enamel in a prehistoric population".
3934:
2473:
3389:
597:
is not zero. In some circumstances it may be useful to have one or more 0's on the left; this does not change the value represented by the decimal: for example,
5689:
943:). For a non-negative decimal numeral, it is the largest integer that is not greater than the decimal. The part from the decimal separator to the right is the
5846:
5737:
5114:: The invention of the decimal fractions and the application of the exponential calculus by Immanuel Bonfils of Tarascon (c. 1350), Isis 25 (1936), 16–45.
1839:, and therefore denote decimal fractions. An example of a fraction that cannot be represented by a decimal expression (with a finite number of digits) is
4693:
4631:
4004:
4000:" = 120, and a "long thousand" of 1200. The descriptions like "long" only appear after the "small hundred" of 100 appeared with the Christians. Gordon's
218:
Originally and in most uses, a decimal has only a finite number of digits after the decimal separator. However, the decimal system has been extended to
1888:, the decimal numbers are those whose denominator is a product of a power of 2 and a power of 5. Thus the smallest denominators of decimal numbers are
5811:
3339:, used decimal representation internally). For external use by computer specialists, this binary representation is sometimes presented in the related
1663:
5441:
5761:
1383:
3549:(1247) explicitly writes a decimal fraction representing a number rather than a measurement, using counting rods. The number 0.96644 is denoted
3415:
Many ancient cultures calculated with numerals based on ten, perhaps because two human hands have ten fingers. Standardized weights used in the
5717:
4927:
3545:
918:{\displaystyle a_{m}10^{m}+a_{m-1}10^{m-1}+\cdots +a_{0}10^{0}+{\frac {b_{1}}{10^{1}}}+{\frac {b_{2}}{10^{2}}}+\cdots +{\frac {b_{n}}{10^{n}}}}
5796:
5096:
4904:
4859:
4449:
4341:
5801:
5240:
3927:
967:
In brief, the contribution of each digit to the value of a number depends on its position in the numeral. That is, the decimal system is a
5489:
4522:
3594:
Historians of
Chinese science have speculated that the idea of decimal fractions may have been transmitted from China to the Middle East.
3371:
integer multiples of the smallest currency unit for book keeping purposes. This is not possible in binary, because the negative powers of
613:—it may be removed; conversely, trailing zeros may be added after the decimal mark without changing the represented number; for example,
6069:
4588:
4560:
4347:
5712:
1223:
3485:
for 10, 20 to 90, 100, 200 to 900, 1000, 2000, 3000, 4000, to 10,000. The world's earliest positional decimal system was the
Chinese
645:
484:
5856:
5831:
5781:
5682:
5588:
5530:
5397:
5361:
5050:
5030:
4980:
4959:
4880:
4842:
4758:
4735:
4713:
4639:
4608:
4572:
5517:
5516:
Mazaudon, Martine (2002). "Les principes de construction du nombre dans les langues tibéto-birmanes". In François, Jacques (ed.).
964:). In normal writing, this is generally avoided, because of the risk of confusion between the decimal mark and other punctuation.
234:). In this context, the usual decimals, with a finite number of non-zero digits after the decimal separator, are sometimes called
6064:
5892:
4679:
1014:
305:
108:
5836:
5791:
5776:
5124:
4012:
3920:
3426:) were based on the ratios: 1/20, 1/10, 1/5, 1/2, 1, 2, 5, 10, 20, 50, 100, 200, and 500, while their standardized ruler – the
5414:
6059:
5826:
5727:
4381:
3392:
2211:. Nevertheless, they allow approximating every real number with any desired accuracy, e.g., the decimal 3.14159 approximates
1450:
5621:
5561:
5354:
The Exchequer in the twelfth century : the Ford lectures delivered in the University of Oxford in Michaelmas term, 1911
5182:
5871:
5816:
5766:
5752:
5742:
1656:
1238:
5035:. Vol. III, "Mathematics and the Sciences of the Heavens and the Earth". Cambridge University Press. pp. 82–90.
4656:
130:), refers generally to the notation of a number in the decimal numeral system. Decimals may sometimes be identified by a
6038:
5959:
5876:
5861:
5786:
5757:
5732:
5675:
4947:
4491:
2646:
1576:
1586:
5851:
5821:
5771:
4517:
1403:
208:
5422:. Empirical Approaches to Language Typology. Vol. 45. Berlin: Mouton de Gruyter (published 2010). Archived from
1702:
5475:
Australian Aborigines: The Languages and Customs of Several Tribes of Aborigines in the Western District of Victoria
5297:
Some of the Germanic languages appear to show traces of an ancient blending of the decimal with the vigesimal system
5866:
5806:
5747:
5722:
3772:
Some psychologists suggest irregularities of the English names of numerals may hinder children's counting ability.
3605:
3391:
have no finite binary fractional representation; and is generally impossible for multiplication (or division). See
1463:
6010:
6001:
4291:
4197:
4047:
4024:
3992:-8) systems because the speakers count using the spaces between their fingers rather than the fingers themselves.
3612:
used decimal fractions around 1350 but did not develop any notation to represent them. The Persian mathematician
3416:
1559:
1335:
968:
56:
5388:
number words up to 32 written down by a Spanish priest ca. 1819. "Chumashan Numerals" by Madison S. Beeler, in
3461:
in central Europe (2300-1600 BC) used standardised weights and a decimal system in trade. The number system of
1649:
983:
31:
5413:
Hammarström, Harald (17 May 2007). "Rarities in Numeral Systems". In Wohlgemuth, Jan; Cysouw, Michael (eds.).
4001:
3407:
The world's earliest decimal multiplication table was made from bamboo slips, dating from 305 BCE, during the
418:
3658:
using a set of ten symbols emerged in India. Several Indian languages show a straightforward decimal system.
4701:
4296:
2286:
1639:
1423:
1027:
586:, that is, if the first sequence contains at least two digits, it is generally assumed that the first digit
5456:
2762:
5978:
4259:
4212:
4192:
4177:
3862:
3533:
3360:
2949:
2316:
1885:
1688:
1330:
1246:
231:
227:
168:
3359:, especially in database implementations, but there are other decimal representations in use (including
3328:
3317:
1441:
413:
either a (finite) sequence of digits (such as "2017"), where the entire sequence represents an integer:
5385:
3458:
244:
is an infinite decimal that, after some place, repeats indefinitely the same sequence of digits (e.g.,
5148:. Translated by Macdonald, William Rae. Edinburgh: Blackwood & Sons – via Internet Archive.
4893:
Krause, Harald; Kutscher, Sabrina (2017). "Spangenbarrenhort Oberding: Zusammenfassung und Ausblick".
5993:
5897:
5633:
4779:
4600:
4171:
3794:
3431:
3356:
1536:
1397:
1390:
1278:
259:
of two integers, if and only if it is a repeating decimal or has a finite number of non-zero digits.
191:
5163:
4923:
5260:. "Ethnomathematics: A Multicultural View of Mathematical Ideas". The College Mathematics Journal.
4228:
4043:
4020:
3882:
3789:
3781:
3734:
3659:
3446:
2616:
2304:
1618:
1483:
1434:
1253:
1185:
1040:
1001:
406:
212:
158:". Zero-digits after a decimal separator serve the purpose of signifying the precision of a value.
2299:
digits after the decimal mark, as soon as the absolute measurement error is bounded from above by
5911:
5698:
5649:
5319:
5261:
5232:
4803:
4095:
3801:
3754:
3666:
1531:
1291:
1128:
1123:
1070:
4820:
Bisht, R. S. (1982), "Excavations at Banawali: 1974–77", in Possehl, Gregory L. (ed.), Harappan
4512:
4027:
counting system, in which the names for numbers were structured according to multiples of 4 and
5495:
3305:
211:
real numbers. By increasing the number of digits after the decimal separator, one can make the
5964:
5943:
5938:
5526:
5393:
5367:
5357:
5092:
5046:
4976:
4955:
4900:
4876:
4855:
4838:
4795:
4754:
4731:
4709:
4635:
4604:
4568:
4445:
4403:
4337:
4202:
4054:. Of these, Gumatj is the only true 5–25 language known, in which 25 is the higher group of 5.
3824:
3738:
3474:
3126:
1867:
1613:
1603:
1591:
1571:
1526:
1521:
1457:
1296:
1268:
1175:
1108:
1098:
1085:
1050:
1045:
391:
281:
240:
131:
4304:
5641:
5288:
5224:
5209:
4787:
4329:
4325:
4182:
4132:
4073:
4065:
systems. So did some small communities in India and Nepal, as indicated by their languages.
3730:
3613:
3609:
3462:
3454:
2586:{\displaystyle \left\vert \left_{n}-\left_{n-1}\right\vert =d_{n}\cdot 10^{-n}<10^{-n+1}}
1516:
1410:
1170:
1158:
1103:
1093:
1060:
1035:
301:
65:
4444:. Cambridge, Massachusetts London, England: The Belknap Press of Harvard University Press.
3604:
Positional decimal fractions appear for the first time in a book by the Arab mathematician
939:
of a decimal numeral is the integer written to the left of the decimal separator (see also
4705:
4683:
4543:
4039:
4008:
3758:
3742:
3135:
1684:
1628:
1598:
1541:
1511:
1496:
1263:
1231:
1203:
1180:
1163:
1022:
945:
625:
343:
293:
285:
252:
196:
5603:
3636:("the art of tenths") was first published in Dutch in 1585 and translated into French as
1608:
5637:
5536:
5473:
5210:"The typology of Pame number systems and the limits of Mesoamerica as a linguistic area"
5087:
Berggren, J. Lennart (2007). "Mathematics in Medieval Islam". In Katz, Victor J. (ed.).
4783:
3620:
3374:
5841:
5292:
5026:
4627:
4593:
4233:
4207:
4117:
3868:
3830:
3810:
3655:
3524:
3466:
3408:
3403:
1878:
1696:
1623:
1566:
1546:
1501:
1113:
1080:
1065:
991:
297:
289:
276:
49:
2343:
denote the (finite) decimal expansion of the greatest number that is not greater than
267:
6053:
5933:
5902:
5653:
5257:
5111:
4676:
4238:
4128:
4069:
3958:
3951:
3855:
3814:
3746:
3131:
1429:
1325:
1258:
1198:
1133:
1075:
1055:
601:. Similarly, if the final digit on the right of the decimal mark is zero—that is, if
335:
5236:
4854:
Graham Flegg: Numbers: their history and meaning, Courier Dover Publications, 2002,
3004:
is the decimal fraction obtained by replacing the last digit that is not a 9, i.e.:
5423:
5062:
5009:
4992:
4807:
4187:
4077:
3997:
3627:
3597:
3566:
3519:
3486:
3095:, and the other containing only 9s after some place, which is obtained by defining
1581:
1506:
931:
339:
146:
may also refer specifically to the digits after the decimal separator, such as in "
5622:"The Work of Glendon Lean on the Counting Systems of Papua New Guinea and Oceania"
5310:
Voyles, Joseph (October 1987), "The cardinal numerals in pre-and proto-Germanic",
4373:
4285:
17:
5657:
5573:
3662:
have numbers between 10 and 20 expressed in a regular pattern of addition to 10.
5986:
5970:
5907:
5194:
4567:(1 (reprint) ed.). Malabar, Florida: Robert E. Krieger Publishing Company.
4028:
3954:
3643:
3540:
3529:
3344:
2322:
2290:
2282:
2220:
2208:
1692:
1551:
1416:
1375:
1365:
223:
6018:
4652:
4218:
4062:
3977:
3973:
3820:
3632:
3616:
used, and claimed to have discovered, decimal fractions in the 15th century.
3586:
3581:
3576:
3571:
3470:
3434:, in evidence since around 3000 BCE, used a purely decimal system, as did the
1360:
1118:
940:
347:
312:. This system has been extended to represent some non-integer numbers, called
4483:
3056:, may be converted to its equivalent infinite decimal expansion by replacing
5926:
5921:
5371:
5228:
5089:
The Mathematics of Egypt, Mesopotamia, China, India, and Islam: A Sourcebook
4687:
3962:
3561:
1370:
953:
215:
as small as one wants, when one has a method for computing the new digits.
111:. The way of denoting numbers in the decimal system is often referred to as
4799:
3761:
have an almost straightforward decimal system, in which 11 is expressed as
37:
3509:
3492:
4166:
4051:
3478:
3450:
3435:
3364:
3324:
3080:
3028:
2640:
475:
or a decimal mark separating two sequences of digits (such as "20.70828")
256:
5491:
Decimal vs. Duodecimal: An interaction between two systems of numeration
5323:
5045:
Jean-Claude Martzloff, A History of Chinese Mathematics, Springer 1997
5012:, "The Development of Hindu–Arabic and Traditional Chinese Arithmetic",
952:
When the integral part of a numeral is zero, it may occur, typically in
949:, which equals the difference between the numeral and its integer part.
5645:
5265:
5029:(1959). "19.2 Decimals, Metrology, and the Handling of Large Numbers".
4730:(4th ed.), The Free Press (Macmillan Publishing Co.), p. 12,
4121:
4099:
4058:
4035:
3336:
2216:
1340:
309:
96:
5667:
4542:"Fingers or Fists? (The Choice of Decimal or Binary Representation)",
194:. Decimal fractions also result from the addition of an integer and a
5279:
McClean, R. J. (July 1958), "Observations on the Germanic numerals",
4465:
4136:
3981:
3897:
3673:
A straightforward decimal rank system with a word for each order (10
3465:
also used powers of ten, including an intermediate base of 5, as did
1874:, whose numerator is the integer obtained by removing the separator.
1345:
100:
5337:
Stevenson, W.H. (1890). "The Long Hundred and its uses in England".
5065:. "A Chinese Genesis, Rewriting the history of our numeral system".
4894:
4791:
2293:, the result of a measurement is well-represented by a decimal with
3626:
A forerunner of modern European decimal notation was introduced by
4469:
4319:
4223:
3989:
3985:
3903:
3891:
3508:
3491:
3402:
3340:
3332:
3309:
Diagram of the world's earliest known multiplication table (
3304:
1350:
1312:
1273:
266:
161:
The numbers that may be represented in the decimal system are the
36:
4698:
4333:
3481:
hieroglyphs (since 15th century BCE) were also strictly decimal.
5494:. 2nd Meeting of the AFLANG, October 1998, Tokyo. Archived from
1683:, especially in contexts involving explicit fractions) are the
271:
Ten digits on two hands, the possible origin of decimal counting
5671:
727:{\displaystyle a_{m}a_{m-1}\ldots a_{0}.b_{1}b_{2}\ldots b_{n}}
566:{\displaystyle a_{m}a_{m-1}\ldots a_{0}.b_{1}b_{2}\ldots b_{n}}
3966:
3851:
2207:
Decimal numerals do not allow an exact representation for all
80:
74:
4410:
indicates that the '144' sequence repeats indefinitely, i.e.
3473:(c. 287–212 BCE) invented a decimal positional system in his
5416:
Rethinking Universals: How rarities affect linguistic theory
1870:(a point or comma) represents the fraction with denominator
398:" in many countries (mostly English-speaking), and a comma "
83:
3996:
Where this counting system is known, it is based on the "
3173:
012... (with the group 012345679 indefinitely repeating).
2215:, being less than 10 off; so decimals are widely used in
387:
383:
379:
375:
371:
367:
363:
359:
355:
351:
4258:
Sometimes, the extra zeros are used for indicating the
3331:
internally (although many early computers, such as the
4824:, New Delhi: Oxford and IBH Publishing Co., pp. 113–24
3965:
system (perhaps based on using all twenty fingers and
3947:
Some cultures do, or did, use other bases of numbers.
3608:
written in the 10th century. The Jewish mathematician
2952:
2765:
2649:
5145:
The Construction of the Wonderful Canon of Logarithms
3377:
3134:
allows computing the infinite decimal expansion of a
2476:
1897:
1705:
956:, that the integer part is not written (for example,
743:
648:
487:
421:
77:
5129:
A History of Algebra. From Khwarizmi to Emmy Noether
2615:
tends to infinity. According to the definition of a
71:
5952:
5885:
5705:
5408:
5406:
4952:
Zahlwort und Ziffer. Eine Kulturgeschichte der Zahl
2693:{\textstyle \;x=\lim _{n\rightarrow \infty }_{n}\;}
68:
5442:"Facts and fallacies of aboriginal number systems"
5183:"English words may hinder math skills development"
4592:
4284:
3630:in the 16th century. Stevin's influential booklet
3383:
3281:or, dividing both numerator and denominator by 6,
2996:
2803:
2692:
2585:
2191:
1735:
917:
726:
565:
463:
4918:
4916:
4550:, Vol. 2 #12, pp. 3–11, ACM Press, December 1959.
2281:Numbers are very often obtained as the result of
334:For writing numbers, the decimal system uses ten
4973:From One to Zero. A Universal History of Numbers
4873:From One to Zero. A Universal History of Numbers
4835:From One to Zero. A Universal History of Numbers
2658:
3705:, and 89,345 is expressed as 8 (ten thousands)
3365:IEEE 754 Standard for Floating-Point Arithmetic
1877:It follows that a number is a decimal fraction
1736:{\displaystyle 0.8,14.89,0.00079,1.618,3.14159}
5440:Harris, John (1982). Hargrave, Susanne (ed.).
4677:Decimal Floating-Point: Algorism for Computers
4624:Decimal Floating-Point: Algorism for Computers
3496:The world's earliest positional decimal system
103:. It is the extension to non-integer numbers (
5683:
5312:The Journal of English and Germanic Philology
4983:, pp. 218f. (The Hittite hieroglyphic system)
4716:, pp. 104–11, IEEE Comp. Soc., June 2003
3928:
3724:
3718:
3712:
3706:
3692:
3686:
3680:
3674:
3553:
3327:hardware and software systems commonly use a
3027:, and replacing all subsequent 9s by 0s (see
1699:of ten. For example, the decimal expressions
1657:
8:
4954:, Vandenhoeck und Ruprecht, 3rd. ed., 1979,
4098:, also known as Kakoli, is reported to have
5091:. Princeton University Press. p. 530.
5082:
5080:
3079:and replacing all subsequent 0s by 9s (see
230:of digits after the decimal separator (see
5690:
5676:
5668:
5187:American Psychological Association Monitor
4694:16th IEEE Symposium on Computer Arithmetic
4632:16th IEEE Symposium on Computer Arithmetic
4318:Yong, Lam Lay; Se, Ang Tian (April 2004).
3935:
3921:
3785:
3585:
3580:
3575:
3570:
3565:
3560:
3221:
3191:
2953:
2850:. This expansion is unique if neither all
2766:
2689:
2650:
1664:
1650:
1007:
978:
200:; the resulting sum sometimes is called a
3522:, as described in the 3rd–5th century CE
3376:
3351:unable to encode that number precisely.)
2988:
2977:
2967:
2951:
2795:
2784:
2774:
2764:
2683:
2661:
2648:
2568:
2552:
2539:
2515:
2494:
2475:
2177:
2164:
2145:
2132:
2113:
2100:
2081:
2068:
2049:
2036:
2017:
2004:
1985:
1972:
1953:
1940:
1921:
1908:
1896:
1704:
907:
897:
891:
874:
864:
858:
847:
837:
831:
822:
812:
787:
771:
758:
748:
742:
718:
705:
695:
682:
663:
653:
647:
557:
544:
534:
521:
502:
492:
486:
455:
436:
426:
420:
4995:et al. The Fleeting Footsteps pp. 137–39
4822:Civilisation: A Contemporary Perspective
3520:performed using positional counting rods
2252:digits after the decimal mark such that
1881:it has a finite decimal representation.
464:{\displaystyle a_{m}a_{m-1}\ldots a_{0}}
4276:
4251:
3881:
3843:
3800:
990:
41:Place value of number in decimal system
5626:Mathematics Education Research Journal
5005:
5003:
5001:
4599:(1st ed.). Binghamton, New York:
3654:A method of expressing every possible
3546:Mathematical Treatise in Nine Sections
2804:{\textstyle \;(d_{n})_{n=1}^{\infty }}
2226:More precisely, for every real number
314:
162:
95:) is the standard system for denoting
5566:Papua New Guinea Journal of Education
5392:, edited by Michael P. Closs (1986),
5067:Archive for History of Exact Sciences
4845:, pp. 200–13 (Egyptian Numerals)
4372:Weisstein, Eric W. (March 10, 2022).
3139:
2997:{\textstyle \;(_{n})_{n=1}^{\infty }}
7:
5589:"Kaugel Valley systems of reckoning"
5587:Bowers, Nancy; Lepi, Pundia (1975).
5525:. Leuven: Peeters. pp. 91–119.
4435:
4433:
4367:
4365:
4305:participating institution membership
3430:– was divided into ten equal parts.
2372:. It is straightforward to see that
251:). An infinite decimal represents a
4899:. Museum Erding. pp. 238–243.
4753:(in French), Paris: Payot, p. 113,
4642:, pp. 104–11, IEEE Comp. Soc., 2003
4384:from the original on March 21, 2022
3697:), and in which 11 is expressed as
3528:. The 5th century CE mathematician
2353:digits after the decimal mark. Let
2203:Approximation using decimal numbers
5293:10.1111/j.1468-0483.1958.tb00018.x
4350:from the original on April 1, 2023
3363:such as in newer revisions of the
2989:
2796:
2668:
25:
5596:Journal of the Polynesian Society
5032:Science and Civilisation in China
5016:, 1996 p. 38, Kurt Vogel notation
4124:number system with base-4 cycles.
3513:counting rod decimal fraction 1/7
3453:script (c. 1400–1200 BCE) of the
3034:Any such decimal fraction, i.e.:
2884:greater than some natural number
2285:. As measurements are subject to
6034:
6033:
5965:Earth's location in the Universe
5893:Back-of-the-envelope calculation
5246:from the original on 2006-07-12.
4728:Number / The Language of Science
3619:
628:, a minus sign is placed before
409:, a decimal numeral consists of
64:
27:Number in base-10 numeral system
5898:Best-selling electronic devices
5449:Work Papers of SIL-AAB Series B
5356:. Clark, NJ: Lawbook Exchange.
4930:from the original on 2019-07-21
4659:from the original on 2009-04-29
4525:from the original on 2013-12-11
4494:from the original on 2020-03-18
3117:digits after the decimal mark.
3103:as the greatest number that is
2609:, or gets arbitrarily small as
1860:More generally, a decimal with
1857:, 3 not being a power of 10.
4883:, pp. 213–18 (Cretan numerals)
3393:Arbitrary-precision arithmetic
3138:. If the rational number is a
2974:
2964:
2957:
2954:
2781:
2767:
2680:
2673:
2665:
207:Decimals are commonly used to
1:
5562:"Counting and Number in Huli"
5384:There is a surviving list of
5352:Poole, Reginald Lane (2006).
3439:
3420:
3310:
2380:may be obtained by appending
5960:Astronomical system of units
3980:and the Pamean languages in
3737:with a few irregularities.
3505:History of decimal fractions
2753:Conversely, for any integer
350:"−". The decimal digits are
246:5.123144144144144... = 5.123
5602:(3): 309–24. Archived from
5390:Native American Mathematics
5208:Avelino, Heriberto (2006).
4518:Encyclopedia of Mathematics
4464:In some countries, such as
2946:, the limit of the sequence
2230:and every positive integer
1687:that may be expressed as a
306:Hindu–Arabic numeral system
109:Hindu–Arabic numeral system
6086:
6070:Positional numeral systems
5488:Matsushita, Shuji (1998).
5168:Ancient Indian mathematics
5131:. Berlin: Springer-Verlag.
4896:Spangenbarrenhort Oberding
4653:"Decimal Arithmetic – FAQ"
4038:number systems, including
3779:
3124:
2842:infinite decimal expansion
2811:the (infinite) expression
2759:and any sequence of digits
2742:infinite decimal expansion
2314:
2311:Infinite decimal expansion
1384:Non-standard radices/bases
134:(usually "." or "," as in
29:
6029:
6011:The Scale of the Universe
4749:Sergent, Bernard (1997),
4548:Communications of the ACM
4292:Oxford English Dictionary
4198:Decimal section numbering
4002:Introduction to Old Norse
3725:
3719:
3713:
3707:
3693:
3687:
3681:
3675:
3554:
3500:Lower row horizontal form
3417:Indus Valley Civilisation
2364:denote the last digit of
2234:, there are two decimals
969:positional numeral system
57:positional numeral system
5560:Cheetham, Brian (1978).
5455:: 153–81. Archived from
5341:. December 1889: 313–22.
4726:Dantzig, Tobias (1954),
3753:Incan languages such as
3469:. Notably, the polymath
3395:for exact calculations.
1743:represent the fractions
150:is the approximation of
32:Decimal (disambiguation)
6065:Fractions (mathematics)
5572:: 16–35. Archived from
5478:(1881), p. xcviii.
5281:German Life and Letters
5229:10.1515/LINGTY.2006.002
4975:, Penguin Books, 1988,
4875:, Penguin Books, 1988,
4837:, Penguin Books, 1988,
4472:are used for the digits
4440:Lockhart, Paul (2017).
4297:Oxford University Press
4110:means 24 × 2 = 48, and
4088:means 15 × 2 = 30, and
3606:Abu'l-Hasan al-Uqlidisi
3498:Upper row vertical form
3477:which was based on 10.
2861:are equal to 9 nor all
2287:measurement uncertainty
1886:fully reduced fractions
1640:List of numeral systems
5979:To the Moon and Beyond
5847:Specific heat capacity
5142:Napier, John (1889) .
4468:-speaking ones, other
4213:Densely packed decimal
4193:Decimal representation
4178:Decimal classification
4120:is reported to have a
3514:
3501:
3412:
3385:
3361:decimal floating point
3320:
2998:
2878:large enough (for all
2805:
2694:
2597:which is either 0, if
2587:
2450:and the difference of
2317:Decimal representation
2193:
1737:
919:
734:represents the number
728:
567:
465:
402:" in other countries.
324:decimal numeral system
272:
232:decimal representation
42:
6060:Elementary arithmetic
5997:(1968 and 1977 films)
5339:Archaeological Review
5125:B. L. van der Waerden
4601:John Wiley & Sons
4488:mathworld.wolfram.com
3957:cultures such as the
3802:Information-theoretic
3532:calculated a 7-digit
3512:
3495:
3406:
3386:
3329:binary representation
3318:Warring States period
3308:
3259:
3244:
3206:
2999:
2806:
2695:
2588:
2194:
1738:
1015:Hindu–Arabic numerals
920:
729:
599:3.14 = 03.14 = 003.14
568:
466:
270:
222:for representing any
40:
4263:10 centimetres.
4172:Binary-coded decimal
4135:is reported to have
4114:means 24 × 24 = 576.
4092:means 15 × 15 = 225.
4076:is reported to have
3443: 1800–1450 BCE
3432:Egyptian hieroglyphs
3424: 3300–1300 BCE
3375:
3357:binary-coded decimal
2950:
2763:
2647:
2643:. This is written as
2474:
1895:
1703:
1537:Prehistoric counting
1320:Common radices/bases
1002:Place-value notation
741:
646:
485:
419:
236:terminating decimals
213:approximation errors
192:non-negative integer
126:or, less correctly,
30:For other uses, see
5699:Orders of magnitude
5638:2001MEdRJ..13...47O
5620:Owens, Kay (2001),
5217:Linguistic Typology
5193:(4). Archived from
5181:Azar, Beth (1999).
4784:2006Natur.440..755C
4595:Decimal Computation
4565:Decimal Computation
4482:Weisstein, Eric W.
4404:vinculum (overline)
4295:(Online ed.).
4229:Scientific notation
4034:Many languages use
4021:Chumashan languages
4019:Many or all of the
3883:Quantum information
3782:Positional notation
3660:Dravidian languages
3301:Decimal computation
2993:
2872:are equal to 0 for
2800:
2740:which is called an
2400:. This way one has
2305:significant figures
2223:and everyday life.
1484:Sign-value notation
624:For representing a
407:non-negative number
405:For representing a
184:is an integer, and
6005:(1996 documentary)
5934:Metric (SI) prefix
5646:10.1007/BF03217098
5429:on 19 August 2007.
5386:Ventureño language
4704:2010-08-19 at the
4682:2003-11-16 at the
4628:Cowlishaw, Mike F.
4513:"Decimal Fraction"
4321:Fleeting Footsteps
4147:means 6 × 2 = 12,
4023:originally used a
4007:2016-04-15 at the
3767:two-ten with three
3667:Hungarian language
3515:
3502:
3428:Mohenjo-daro ruler
3413:
3384:{\displaystyle 10}
3381:
3321:
3246:4152.000000000...
3208:4156.156156156...
2994:
2973:
2801:
2780:
2690:
2672:
2583:
2189:
1733:
1679:(sometimes called
1147:East Asian systems
915:
724:
619:5.2 = 5.20 = 5.200
563:
461:
322:, for forming the
273:
43:
18:Decimal arithmetic
6047:
6046:
5944:Microscopic scale
5939:Macroscopic scale
5164:"Indian numerals"
5098:978-0-691-11485-9
4962:, pp. 150–53
4906:978-3-9817606-5-1
4860:978-0-486-42165-0
4451:978-0-674-97223-0
4378:Wolfram MathWorld
4343:978-981-238-696-0
4303:(Subscription or
4203:Decimal separator
3945:
3944:
3650:Natural languages
3534:approximation of
3279:
3278:
3144:repeating decimal
3127:Repeating decimal
3111:, having exactly
2844:of a real number
2657:
2349:that has exactly
1866:digits after the
1677:Decimal fractions
1674:
1673:
1473:
1472:
975:Decimal fractions
913:
880:
853:
615:15 = 15.0 = 15.00
392:decimal separator
315:decimal fractions
308:for representing
282:Egyptian numerals
241:repeating decimal
228:infinite sequence
220:infinite decimals
202:fractional number
164:decimal fractions
132:decimal separator
122:(also often just
105:decimal fractions
52:(also called the
16:(Redirected from
6077:
6037:
6036:
5718:Angular momentum
5692:
5685:
5678:
5669:
5662:
5661:
5656:, archived from
5617:
5611:
5610:
5608:
5593:
5584:
5578:
5577:
5557:
5551:
5550:
5548:
5547:
5541:
5535:. Archived from
5524:
5513:
5507:
5506:
5504:
5503:
5485:
5479:
5470:
5464:
5463:
5461:
5446:
5437:
5431:
5430:
5428:
5421:
5410:
5401:
5382:
5376:
5375:
5349:
5343:
5342:
5334:
5328:
5326:
5307:
5301:
5299:
5276:
5270:
5269:
5254:
5248:
5247:
5245:
5214:
5205:
5199:
5198:
5178:
5172:
5171:
5160:
5154:
5153:
5139:
5133:
5132:
5121:
5115:
5109:
5103:
5102:
5084:
5075:
5074:
5059:
5053:
5043:
5037:
5036:
5023:
5017:
5007:
4996:
4990:
4984:
4969:
4963:
4945:
4939:
4938:
4936:
4935:
4920:
4911:
4910:
4890:
4884:
4869:
4863:
4852:
4846:
4831:
4825:
4818:
4812:
4811:
4778:(7085): 755–56.
4767:
4761:
4751:Genèse de l'Inde
4747:
4741:
4740:
4723:
4717:
4674:
4668:
4667:
4665:
4664:
4649:
4643:
4621:
4615:
4614:
4598:
4585:
4579:
4578:
4557:
4551:
4540:
4534:
4533:
4531:
4530:
4509:
4503:
4502:
4500:
4499:
4479:
4473:
4462:
4456:
4455:
4437:
4428:
4426:
4424:
4421:
4418:
4415:
4409:
4400:
4394:
4393:
4391:
4389:
4369:
4360:
4359:
4357:
4355:
4326:World Scientific
4315:
4309:
4308:
4300:
4288:
4281:
4264:
4256:
4183:Decimal computer
4155:means 36×2 = 72.
4133:Papua New Guinea
4074:Papua New Guinea
4048:Kuurn Kopan Noot
4036:quinary (base-5)
3937:
3930:
3923:
3786:
3728:
3727:
3722:
3721:
3716:
3715:
3710:
3709:
3696:
3695:
3690:
3689:
3684:
3683:
3678:
3677:
3623:
3614:Jamshid al-Kashi
3610:Immanuel Bonfils
3589:
3584:
3579:
3574:
3569:
3564:
3557:
3556:
3537:
3463:classical Greece
3444:
3441:
3425:
3422:
3411:period in China.
3390:
3388:
3387:
3382:
3315:
3312:
3296:
3294:
3293:
3290:
3287:
3275:
3273:
3272:
3269:
3266:
3260:
3245:
3222:
3207:
3193:0.4156156156...
3192:
3183:For example, if
3180:
3179:
3172:
3168:
3164:
3162:
3161:
3158:
3155:
3140:decimal fraction
3121:Rational numbers
3115:
3110:
3102:
3094:
3078:
3066:
3055:
3045:
3026:
3014:
3003:
3001:
3000:
2995:
2992:
2987:
2972:
2971:
2945:
2911:
2901:
2887:
2882:
2876:
2871:
2860:
2848:
2839:
2810:
2808:
2807:
2802:
2799:
2794:
2779:
2778:
2758:
2748:
2735:
2699:
2697:
2696:
2691:
2688:
2687:
2671:
2637:
2632:
2625:is the limit of
2623:
2613:
2608:
2592:
2590:
2589:
2584:
2582:
2581:
2560:
2559:
2544:
2543:
2531:
2527:
2526:
2525:
2514:
2499:
2498:
2493:
2466:
2458:
2445:
2399:
2391:to the right of
2390:
2379:
2371:
2363:
2352:
2347:
2342:
2334:
2327:
2302:
2298:
2277:
2265:
2250:
2245:
2239:
2233:
2229:
2214:
2198:
2196:
2195:
2190:
2182:
2181:
2169:
2168:
2150:
2149:
2137:
2136:
2118:
2117:
2105:
2104:
2086:
2085:
2073:
2072:
2054:
2053:
2041:
2040:
2022:
2021:
2009:
2008:
1990:
1989:
1977:
1976:
1958:
1957:
1945:
1944:
1926:
1925:
1913:
1912:
1873:
1865:
1856:
1855:
1853:
1852:
1849:
1846:
1838:
1837:
1835:
1834:
1831:
1828:
1824:
1817:
1816:
1814:
1813:
1810:
1807:
1803:
1796:
1795:
1793:
1792:
1789:
1786:
1778:
1777:
1775:
1774:
1771:
1768:
1760:
1759:
1757:
1756:
1753:
1750:
1742:
1740:
1739:
1734:
1685:rational numbers
1666:
1659:
1652:
1455:
1439:
1421:
1411:balanced ternary
1408:
1395:
1008:
979:
963:
959:
924:
922:
921:
916:
914:
912:
911:
902:
901:
892:
881:
879:
878:
869:
868:
859:
854:
852:
851:
842:
841:
832:
827:
826:
817:
816:
798:
797:
782:
781:
763:
762:
753:
752:
733:
731:
730:
725:
723:
722:
710:
709:
700:
699:
687:
686:
674:
673:
658:
657:
638:
620:
616:
612:
600:
596:
585:
572:
570:
569:
564:
562:
561:
549:
548:
539:
538:
526:
525:
513:
512:
497:
496:
470:
468:
467:
462:
460:
459:
447:
446:
431:
430:
401:
397:
344:negative numbers
330:Decimal notation
302:Chinese numerals
250:
249:
189:
183:
177:
153:
149:
141:
137:
113:decimal notation
99:and non-integer
90:
89:
86:
85:
82:
79:
76:
73:
70:
21:
6085:
6084:
6080:
6079:
6078:
6076:
6075:
6074:
6050:
6049:
6048:
6043:
6025:
5948:
5881:
5797:Magnetic moment
5701:
5696:
5666:
5665:
5619:
5618:
5614:
5606:
5591:
5586:
5585:
5581:
5559:
5558:
5554:
5545:
5543:
5539:
5533:
5522:
5515:
5514:
5510:
5501:
5499:
5487:
5486:
5482:
5471:
5467:
5459:
5444:
5439:
5438:
5434:
5426:
5419:
5412:
5411:
5404:
5383:
5379:
5364:
5351:
5350:
5346:
5336:
5335:
5331:
5309:
5308:
5304:
5278:
5277:
5273:
5256:
5255:
5251:
5243:
5212:
5207:
5206:
5202:
5180:
5179:
5175:
5162:
5161:
5157:
5141:
5140:
5136:
5123:
5122:
5118:
5110:
5106:
5099:
5086:
5085:
5078:
5061:
5060:
5056:
5044:
5040:
5025:
5024:
5020:
5014:Chinese Science
5008:
4999:
4991:
4987:
4971:Georges Ifrah:
4970:
4966:
4948:Menninger, Karl
4946:
4942:
4933:
4931:
4924:"Greek numbers"
4922:
4921:
4914:
4907:
4892:
4891:
4887:
4871:Georges Ifrah:
4870:
4866:
4853:
4849:
4833:Georges Ifrah:
4832:
4828:
4819:
4815:
4792:10.1038/440755a
4769:
4768:
4764:
4748:
4744:
4738:
4725:
4724:
4720:
4706:Wayback Machine
4684:Wayback Machine
4675:
4671:
4662:
4660:
4651:
4650:
4646:
4622:
4618:
4611:
4589:Schmid, Hermann
4587:
4586:
4582:
4575:
4561:Schmid, Hermann
4559:
4558:
4554:
4544:Werner Buchholz
4541:
4537:
4528:
4526:
4511:
4510:
4506:
4497:
4495:
4481:
4480:
4476:
4463:
4459:
4452:
4439:
4438:
4431:
4422:
4419:
4416:
4413:
4411:
4407:
4401:
4397:
4387:
4385:
4374:"Decimal Point"
4371:
4370:
4363:
4353:
4351:
4344:
4317:
4316:
4312:
4302:
4283:
4282:
4278:
4273:
4268:
4267:
4257:
4253:
4248:
4243:
4162:
4009:Wayback Machine
3941:
3793:
3784:
3778:
3652:
3624:
3535:
3507:
3499:
3497:
3459:Únětice culture
3442:
3423:
3401:
3373:
3372:
3313:
3303:
3291:
3288:
3285:
3284:
3282:
3270:
3267:
3264:
3263:
3261:
3258:
3243:
3223:4.156156156...
3220:
3205:
3190:
3170:
3166:
3159:
3156:
3153:
3152:
3150:
3146:. For example,
3136:rational number
3129:
3123:
3113:
3108:
3101:
3096:
3093:
3088:
3076:
3068:
3065:
3057:
3047:
3043:
3035:
3024:
3016:
3013:
3005:
2963:
2948:
2947:
2944:
2935:
2929:
2922:
2918:
2913:
2912:equal to 9 and
2903:
2900:
2892:
2885:
2880:
2874:
2870:
2862:
2859:
2851:
2846:
2837:
2828:
2822:
2815:
2812:
2770:
2761:
2760:
2757:
2754:
2746:
2733:
2724:
2718:
2711:
2704:
2679:
2645:
2644:
2635:
2631:
2626:
2621:
2611:
2606:
2598:
2564:
2548:
2535:
2504:
2503:
2483:
2482:
2481:
2477:
2472:
2471:
2465:
2460:
2457:
2451:
2444:
2436:
2426:
2420:
2413:
2409:
2404:
2398:
2392:
2389:
2381:
2378:
2373:
2370:
2365:
2362:
2354:
2350:
2345:
2341:
2336:
2329:
2328:and an integer
2325:
2319:
2313:
2300:
2294:
2267:
2253:
2248:
2241:
2235:
2231:
2227:
2212:
2205:
2173:
2160:
2141:
2128:
2109:
2096:
2077:
2064:
2045:
2032:
2013:
2000:
1981:
1968:
1949:
1936:
1917:
1904:
1893:
1892:
1871:
1861:
1850:
1847:
1844:
1843:
1841:
1840:
1832:
1829:
1826:
1825:
1822:
1820:
1819:
1811:
1808:
1805:
1804:
1801:
1799:
1798:
1790:
1787:
1784:
1783:
1781:
1780:
1772:
1769:
1766:
1765:
1763:
1762:
1754:
1751:
1748:
1747:
1745:
1744:
1701:
1700:
1681:decimal numbers
1670:
1634:
1633:
1556:
1542:Proto-cuneiform
1487:
1486:
1475:
1474:
1469:
1468:
1453:
1437:
1419:
1406:
1393:
1380:
1316:
1315:
1303:
1302:
1283:
1243:
1228:
1219:
1218:
1209:
1208:
1190:
1149:
1148:
1139:
1138:
1090:
1032:
1018:
1017:
1005:
1004:
992:Numeral systems
977:
961:
957:
946:fractional part
903:
893:
870:
860:
843:
833:
818:
808:
783:
767:
754:
744:
739:
738:
714:
701:
691:
678:
659:
649:
644:
643:
637:
629:
626:negative number
618:
614:
610:
602:
598:
595:
587:
580:
553:
540:
530:
517:
498:
488:
483:
482:
451:
432:
422:
417:
416:
399:
395:
332:
320:decimal numbers
294:Hebrew numerals
286:Brahmi numerals
277:numeral systems
265:
253:rational number
247:
245:
197:fractional part
185:
179:
172:
151:
147:
139:
135:
120:decimal numeral
67:
63:
35:
28:
23:
22:
15:
12:
11:
5:
6083:
6081:
6073:
6072:
6067:
6062:
6052:
6051:
6045:
6044:
6042:
6041:
6030:
6027:
6026:
6024:
6023:
6015:
6007:
5999:
5991:
5983:
5975:
5967:
5962:
5956:
5954:
5950:
5949:
5947:
5946:
5941:
5936:
5931:
5930:
5929:
5924:
5919:
5905:
5900:
5895:
5889:
5887:
5883:
5882:
5880:
5879:
5874:
5869:
5864:
5859:
5854:
5849:
5844:
5842:Sound pressure
5839:
5834:
5829:
5824:
5819:
5814:
5809:
5804:
5802:Magnetic field
5799:
5794:
5789:
5784:
5779:
5774:
5769:
5764:
5762:Energy density
5755:
5750:
5745:
5740:
5735:
5730:
5725:
5720:
5715:
5709:
5707:
5703:
5702:
5697:
5695:
5694:
5687:
5680:
5672:
5664:
5663:
5612:
5609:on 2011-06-04.
5579:
5576:on 2007-09-28.
5552:
5531:
5508:
5480:
5465:
5462:on 2007-08-31.
5432:
5402:
5377:
5362:
5344:
5329:
5302:
5271:
5249:
5200:
5197:on 2007-10-21.
5173:
5155:
5134:
5116:
5104:
5097:
5076:
5054:
5038:
5027:Joseph Needham
5018:
4997:
4985:
4964:
4940:
4912:
4905:
4885:
4864:
4847:
4826:
4813:
4762:
4742:
4736:
4718:
4669:
4644:
4630:, Proceedings
4616:
4609:
4580:
4573:
4552:
4535:
4504:
4474:
4457:
4450:
4429:
4395:
4361:
4342:
4310:
4275:
4274:
4272:
4269:
4266:
4265:
4250:
4249:
4247:
4244:
4242:
4241:
4236:
4234:Serial decimal
4231:
4226:
4221:
4216:
4210:
4208:Decimalisation
4205:
4200:
4195:
4190:
4185:
4180:
4175:
4169:
4163:
4161:
4158:
4157:
4156:
4151:means 36, and
4125:
4115:
4093:
4066:
4055:
4032:
4017:
3993:
3970:
3943:
3942:
3940:
3939:
3932:
3925:
3917:
3914:
3913:
3912:
3911:
3901:
3895:
3886:
3885:
3879:
3878:
3877:
3876:
3866:
3859:
3846:
3845:
3841:
3840:
3839:
3838:
3828:
3818:
3805:
3804:
3798:
3797:
3780:Main article:
3777:
3774:
3729:5 is found in
3656:natural number
3651:
3648:
3618:
3592:
3591:
3558:
3525:Sunzi Suanjing
3506:
3503:
3467:Roman numerals
3409:Warring States
3400:
3397:
3380:
3314: 305 BCE
3302:
3299:
3277:
3276:
3256:
3248:
3247:
3241:
3225:
3224:
3218:
3210:
3209:
3203:
3195:
3194:
3188:
3175:
3174:
3125:Main article:
3122:
3119:
3097:
3089:
3072:
3061:
3039:
3020:
3009:
2991:
2986:
2983:
2980:
2976:
2970:
2966:
2962:
2959:
2956:
2940:
2933:
2927:
2920:
2914:
2896:
2866:
2855:
2833:
2826:
2820:
2813:
2798:
2793:
2790:
2787:
2783:
2777:
2773:
2769:
2755:
2738:
2737:
2729:
2722:
2716:
2709:
2686:
2682:
2678:
2675:
2670:
2667:
2664:
2660:
2656:
2653:
2627:
2602:
2595:
2594:
2580:
2577:
2574:
2571:
2567:
2563:
2558:
2555:
2551:
2547:
2542:
2538:
2534:
2530:
2524:
2521:
2518:
2513:
2510:
2507:
2502:
2497:
2492:
2489:
2486:
2480:
2461:
2452:
2448:
2447:
2440:
2431:
2424:
2418:
2411:
2405:
2393:
2385:
2374:
2366:
2358:
2337:
2315:Main article:
2312:
2309:
2204:
2201:
2200:
2199:
2188:
2185:
2180:
2176:
2172:
2167:
2163:
2159:
2156:
2153:
2148:
2144:
2140:
2135:
2131:
2127:
2124:
2121:
2116:
2112:
2108:
2103:
2099:
2095:
2092:
2089:
2084:
2080:
2076:
2071:
2067:
2063:
2060:
2057:
2052:
2048:
2044:
2039:
2035:
2031:
2028:
2025:
2020:
2016:
2012:
2007:
2003:
1999:
1996:
1993:
1988:
1984:
1980:
1975:
1971:
1967:
1964:
1961:
1956:
1952:
1948:
1943:
1939:
1935:
1932:
1929:
1924:
1920:
1916:
1911:
1907:
1903:
1900:
1879:if and only if
1732:
1729:
1726:
1723:
1720:
1717:
1714:
1711:
1708:
1672:
1671:
1669:
1668:
1661:
1654:
1646:
1643:
1642:
1636:
1635:
1632:
1631:
1626:
1621:
1616:
1611:
1606:
1601:
1596:
1595:
1594:
1589:
1584:
1574:
1569:
1563:
1562:
1555:
1554:
1549:
1544:
1539:
1534:
1529:
1524:
1519:
1514:
1509:
1504:
1499:
1493:
1492:
1491:Non-alphabetic
1488:
1482:
1481:
1480:
1477:
1476:
1471:
1470:
1467:
1466:
1461:
1448:
1432:
1427:
1414:
1401:
1387:
1386:
1379:
1378:
1373:
1368:
1363:
1358:
1353:
1348:
1343:
1338:
1333:
1328:
1322:
1321:
1317:
1310:
1309:
1308:
1305:
1304:
1301:
1300:
1294:
1288:
1287:
1282:
1281:
1276:
1271:
1266:
1261:
1256:
1250:
1249:
1247:Post-classical
1242:
1241:
1235:
1234:
1227:
1226:
1220:
1216:
1215:
1214:
1211:
1210:
1207:
1206:
1201:
1195:
1194:
1189:
1188:
1183:
1178:
1173:
1168:
1167:
1166:
1155:
1154:
1150:
1146:
1145:
1144:
1141:
1140:
1137:
1136:
1131:
1126:
1121:
1116:
1111:
1106:
1101:
1096:
1089:
1088:
1083:
1078:
1073:
1068:
1063:
1058:
1053:
1048:
1043:
1038:
1031:
1030:
1028:Eastern Arabic
1025:
1023:Western Arabic
1019:
1013:
1012:
1011:
1006:
1000:
999:
998:
995:
994:
988:
987:
976:
973:
927:
926:
910:
906:
900:
896:
890:
887:
884:
877:
873:
867:
863:
857:
850:
846:
840:
836:
830:
825:
821:
815:
811:
807:
804:
801:
796:
793:
790:
786:
780:
777:
774:
770:
766:
761:
757:
751:
747:
721:
717:
713:
708:
704:
698:
694:
690:
685:
681:
677:
672:
669:
666:
662:
656:
652:
633:
606:
591:
577:
576:
575:
574:
560:
556:
552:
547:
543:
537:
533:
529:
524:
520:
516:
511:
508:
505:
501:
495:
491:
477:
476:
473:
472:
471:
458:
454:
450:
445:
442:
439:
435:
429:
425:
336:decimal digits
331:
328:
298:Roman numerals
290:Greek numerals
264:
261:
226:, by using an
128:decimal number
50:numeral system
26:
24:
14:
13:
10:
9:
6:
4:
3:
2:
6082:
6071:
6068:
6066:
6063:
6061:
6058:
6057:
6055:
6040:
6032:
6031:
6028:
6021:
6020:
6016:
6013:
6012:
6008:
6006:
6004:
6003:Cosmic Voyage
6000:
5998:
5996:
5995:Powers of Ten
5992:
5989:
5988:
5984:
5981:
5980:
5976:
5973:
5972:
5968:
5966:
5963:
5961:
5958:
5957:
5955:
5951:
5945:
5942:
5940:
5937:
5935:
5932:
5928:
5925:
5923:
5920:
5918:
5915:
5914:
5913:
5909:
5906:
5904:
5903:Fermi problem
5901:
5899:
5896:
5894:
5891:
5890:
5888:
5884:
5878:
5875:
5873:
5870:
5868:
5865:
5863:
5860:
5858:
5855:
5853:
5850:
5848:
5845:
5843:
5840:
5838:
5835:
5833:
5830:
5828:
5825:
5823:
5820:
5818:
5815:
5813:
5810:
5808:
5805:
5803:
5800:
5798:
5795:
5793:
5790:
5788:
5785:
5783:
5780:
5778:
5775:
5773:
5770:
5768:
5765:
5763:
5759:
5756:
5754:
5751:
5749:
5746:
5744:
5741:
5739:
5736:
5734:
5731:
5729:
5726:
5724:
5721:
5719:
5716:
5714:
5711:
5710:
5708:
5704:
5700:
5693:
5688:
5686:
5681:
5679:
5674:
5673:
5670:
5660:on 2015-09-26
5659:
5655:
5651:
5647:
5643:
5639:
5635:
5631:
5627:
5623:
5616:
5613:
5605:
5601:
5597:
5590:
5583:
5580:
5575:
5571:
5567:
5563:
5556:
5553:
5542:on 2016-03-28
5538:
5534:
5532:90-429-1295-2
5528:
5521:
5520:
5512:
5509:
5498:on 2008-10-05
5497:
5493:
5492:
5484:
5481:
5477:
5476:
5469:
5466:
5458:
5454:
5450:
5443:
5436:
5433:
5425:
5418:
5417:
5409:
5407:
5403:
5399:
5398:0-292-75531-7
5395:
5391:
5387:
5381:
5378:
5373:
5369:
5365:
5363:1-58477-658-7
5359:
5355:
5348:
5345:
5340:
5333:
5330:
5325:
5321:
5318:(4): 487–95,
5317:
5313:
5306:
5303:
5298:
5294:
5290:
5287:(4): 293–99,
5286:
5282:
5275:
5272:
5267:
5263:
5259:
5258:Marcia Ascher
5253:
5250:
5242:
5238:
5234:
5230:
5226:
5222:
5218:
5211:
5204:
5201:
5196:
5192:
5188:
5184:
5177:
5174:
5169:
5165:
5159:
5156:
5152:
5147:
5146:
5138:
5135:
5130:
5126:
5120:
5117:
5113:
5108:
5105:
5100:
5094:
5090:
5083:
5081:
5077:
5072:
5068:
5064:
5063:Lay Yong, Lam
5058:
5055:
5052:
5051:3-540-33782-2
5048:
5042:
5039:
5034:
5033:
5028:
5022:
5019:
5015:
5011:
5006:
5004:
5002:
4998:
4994:
4989:
4986:
4982:
4981:0-14-009919-0
4978:
4974:
4968:
4965:
4961:
4960:3-525-40725-4
4957:
4953:
4949:
4944:
4941:
4929:
4925:
4919:
4917:
4913:
4908:
4902:
4898:
4897:
4889:
4886:
4882:
4881:0-14-009919-0
4878:
4874:
4868:
4865:
4861:
4857:
4851:
4848:
4844:
4843:0-14-009919-0
4840:
4836:
4830:
4827:
4823:
4817:
4814:
4809:
4805:
4801:
4797:
4793:
4789:
4785:
4781:
4777:
4773:
4766:
4763:
4760:
4759:2-228-89116-9
4756:
4752:
4746:
4743:
4739:
4737:0-02-906990-4
4733:
4729:
4722:
4719:
4715:
4714:0-7695-1894-X
4711:
4707:
4703:
4700:
4699:ARITH 16
4696:
4695:
4689:
4685:
4681:
4678:
4673:
4670:
4658:
4654:
4648:
4645:
4641:
4640:0-7695-1894-X
4637:
4633:
4629:
4625:
4620:
4617:
4612:
4610:0-471-76180-X
4606:
4602:
4597:
4596:
4590:
4584:
4581:
4576:
4574:0-89874-318-4
4570:
4566:
4562:
4556:
4553:
4549:
4545:
4539:
4536:
4524:
4520:
4519:
4514:
4508:
4505:
4493:
4489:
4485:
4478:
4475:
4471:
4467:
4461:
4458:
4453:
4447:
4443:
4436:
4434:
4430:
4405:
4399:
4396:
4383:
4379:
4375:
4368:
4366:
4362:
4349:
4345:
4339:
4335:
4331:
4327:
4323:
4322:
4314:
4311:
4306:
4298:
4294:
4293:
4287:
4280:
4277:
4270:
4261:
4255:
4252:
4245:
4240:
4239:Metric prefix
4237:
4235:
4232:
4230:
4227:
4225:
4222:
4220:
4217:
4214:
4211:
4209:
4206:
4204:
4201:
4199:
4196:
4194:
4191:
4189:
4186:
4184:
4181:
4179:
4176:
4173:
4170:
4168:
4165:
4164:
4159:
4154:
4150:
4146:
4142:
4138:
4134:
4130:
4129:Ndom language
4126:
4123:
4119:
4116:
4113:
4112:tokapu tokapu
4109:
4105:
4101:
4097:
4094:
4091:
4087:
4083:
4079:
4075:
4071:
4070:Huli language
4067:
4064:
4060:
4056:
4053:
4049:
4045:
4041:
4037:
4033:
4030:
4026:
4022:
4018:
4014:
4010:
4006:
4003:
3999:
3994:
3991:
3987:
3983:
3979:
3975:
3971:
3968:
3964:
3960:
3956:
3953:
3952:Pre-Columbian
3950:
3949:
3948:
3938:
3933:
3931:
3926:
3924:
3919:
3918:
3916:
3915:
3910:-dimensional)
3909:
3905:
3902:
3899:
3896:
3893:
3890:
3889:
3888:
3887:
3884:
3880:
3874:
3870:
3867:
3864:
3860:
3857:
3853:
3850:
3849:
3848:
3847:
3842:
3836:
3832:
3829:
3826:
3822:
3819:
3816:
3812:
3809:
3808:
3807:
3806:
3803:
3799:
3796:
3791:
3788:
3787:
3783:
3775:
3773:
3770:
3768:
3764:
3760:
3756:
3751:
3748:
3744:
3740:
3736:
3732:
3711:9 (thousand)
3704:
3703:two-ten-three
3700:
3671:
3668:
3663:
3661:
3657:
3649:
3647:
3645:
3641:
3639:
3635:
3634:
3629:
3622:
3617:
3615:
3611:
3607:
3602:
3599:
3595:
3588:
3583:
3578:
3573:
3568:
3563:
3559:
3552:
3551:
3550:
3548:
3547:
3542:
3538:
3531:
3527:
3526:
3521:
3511:
3504:
3494:
3490:
3488:
3482:
3480:
3476:
3475:Sand Reckoner
3472:
3468:
3464:
3460:
3456:
3452:
3448:
3437:
3433:
3429:
3418:
3410:
3405:
3398:
3396:
3394:
3378:
3368:
3366:
3362:
3358:
3352:
3348:
3346:
3342:
3338:
3334:
3330:
3326:
3319:
3307:
3300:
3298:
3257:
3254:
3250:
3249:
3242:
3239:
3235:
3231:
3227:
3226:
3219:
3216:
3212:
3211:
3204:
3201:
3197:
3196:
3189:
3186:
3182:
3181:
3178:
3149:
3148:
3147:
3145:
3141:
3137:
3133:
3132:Long division
3128:
3120:
3118:
3116:
3106:
3100:
3092:
3084:
3082:
3075:
3071:
3064:
3060:
3054:
3050:
3042:
3038:
3032:
3030:
3023:
3019:
3012:
3008:
2984:
2981:
2978:
2968:
2960:
2943:
2939:
2932:
2926:
2917:
2910:
2906:
2899:
2895:
2889:
2883:
2877:
2869:
2865:
2858:
2854:
2849:
2843:
2836:
2832:
2825:
2819:
2791:
2788:
2785:
2775:
2771:
2751:
2749:
2743:
2732:
2728:
2721:
2715:
2707:
2703:
2702:
2701:
2684:
2676:
2662:
2654:
2651:
2642:
2638:
2630:
2624:
2618:
2614:
2605:
2601:
2578:
2575:
2572:
2569:
2565:
2561:
2556:
2553:
2549:
2545:
2540:
2536:
2532:
2528:
2522:
2519:
2516:
2511:
2508:
2505:
2500:
2495:
2490:
2487:
2484:
2478:
2470:
2469:
2468:
2464:
2455:
2443:
2439:
2434:
2430:
2423:
2417:
2408:
2403:
2402:
2401:
2396:
2388:
2384:
2377:
2369:
2361:
2357:
2348:
2340:
2332:
2324:
2318:
2310:
2308:
2306:
2297:
2292:
2289:with a known
2288:
2284:
2279:
2275:
2271:
2264:
2260:
2256:
2251:
2246:with at most
2244:
2238:
2224:
2222:
2218:
2210:
2202:
2186:
2183:
2178:
2174:
2170:
2165:
2161:
2157:
2154:
2151:
2146:
2142:
2138:
2133:
2129:
2125:
2122:
2119:
2114:
2110:
2106:
2101:
2097:
2093:
2090:
2087:
2082:
2078:
2074:
2069:
2065:
2061:
2058:
2055:
2050:
2046:
2042:
2037:
2033:
2029:
2026:
2023:
2018:
2014:
2010:
2005:
2001:
1997:
1994:
1991:
1986:
1982:
1978:
1973:
1969:
1965:
1962:
1959:
1954:
1950:
1946:
1941:
1937:
1933:
1930:
1927:
1922:
1918:
1914:
1909:
1905:
1901:
1898:
1891:
1890:
1889:
1887:
1884:Expressed as
1882:
1880:
1875:
1869:
1864:
1858:
1730:
1727:
1724:
1721:
1718:
1715:
1712:
1709:
1706:
1698:
1694:
1690:
1686:
1682:
1678:
1667:
1662:
1660:
1655:
1653:
1648:
1647:
1645:
1644:
1641:
1638:
1637:
1630:
1627:
1625:
1622:
1620:
1617:
1615:
1612:
1610:
1607:
1605:
1602:
1600:
1597:
1593:
1590:
1588:
1585:
1583:
1580:
1579:
1578:
1577:Alphasyllabic
1575:
1573:
1570:
1568:
1565:
1564:
1561:
1558:
1557:
1553:
1550:
1548:
1545:
1543:
1540:
1538:
1535:
1533:
1530:
1528:
1525:
1523:
1520:
1518:
1515:
1513:
1510:
1508:
1505:
1503:
1500:
1498:
1495:
1494:
1490:
1489:
1485:
1479:
1478:
1465:
1462:
1459:
1452:
1449:
1446:
1445:
1436:
1433:
1431:
1428:
1425:
1418:
1415:
1412:
1405:
1402:
1399:
1392:
1389:
1388:
1385:
1382:
1381:
1377:
1374:
1372:
1369:
1367:
1364:
1362:
1359:
1357:
1354:
1352:
1349:
1347:
1344:
1342:
1339:
1337:
1334:
1332:
1329:
1327:
1324:
1323:
1319:
1318:
1314:
1307:
1306:
1298:
1295:
1293:
1290:
1289:
1285:
1284:
1280:
1277:
1275:
1272:
1270:
1267:
1265:
1262:
1260:
1257:
1255:
1252:
1251:
1248:
1245:
1244:
1240:
1237:
1236:
1233:
1230:
1229:
1225:
1222:
1221:
1217:Other systems
1213:
1212:
1205:
1202:
1200:
1199:Counting rods
1197:
1196:
1192:
1191:
1187:
1184:
1182:
1179:
1177:
1174:
1172:
1169:
1165:
1162:
1161:
1160:
1157:
1156:
1152:
1151:
1143:
1142:
1135:
1132:
1130:
1127:
1125:
1122:
1120:
1117:
1115:
1112:
1110:
1107:
1105:
1102:
1100:
1097:
1095:
1092:
1091:
1087:
1084:
1082:
1079:
1077:
1074:
1072:
1069:
1067:
1064:
1062:
1059:
1057:
1054:
1052:
1049:
1047:
1044:
1042:
1039:
1037:
1034:
1033:
1029:
1026:
1024:
1021:
1020:
1016:
1010:
1009:
1003:
997:
996:
993:
989:
985:
981:
980:
974:
972:
970:
965:
960:, instead of
955:
950:
948:
947:
942:
938:
937:integral part
934:
933:
908:
904:
898:
894:
888:
885:
882:
875:
871:
865:
861:
855:
848:
844:
838:
834:
828:
823:
819:
813:
809:
805:
802:
799:
794:
791:
788:
784:
778:
775:
772:
768:
764:
759:
755:
749:
745:
737:
736:
735:
719:
715:
711:
706:
702:
696:
692:
688:
683:
679:
675:
670:
667:
664:
660:
654:
650:
640:
636:
632:
627:
622:
609:
605:
594:
590:
583:
558:
554:
550:
545:
541:
535:
531:
527:
522:
518:
514:
509:
506:
503:
499:
493:
489:
481:
480:
479:
478:
474:
456:
452:
448:
443:
440:
437:
433:
427:
423:
415:
414:
412:
411:
410:
408:
403:
393:
389:
385:
381:
377:
373:
369:
365:
361:
357:
353:
349:
345:
341:
337:
329:
327:
325:
321:
317:
316:
311:
307:
303:
299:
295:
291:
287:
283:
278:
269:
262:
260:
258:
254:
243:
242:
237:
233:
229:
225:
221:
216:
214:
210:
205:
203:
199:
198:
193:
188:
182:
175:
170:
166:
165:
159:
157:
145:
133:
129:
125:
121:
116:
114:
110:
106:
102:
98:
94:
88:
62:
58:
55:
51:
48:
39:
33:
19:
6017:
6009:
6002:
5994:
5985:
5977:
5969:
5916:
5908:Powers of 10
5760: /
5713:Acceleration
5658:the original
5632:(1): 47–71,
5629:
5625:
5615:
5604:the original
5599:
5595:
5582:
5574:the original
5569:
5565:
5555:
5544:. Retrieved
5537:the original
5519:La Pluralité
5518:
5511:
5500:. Retrieved
5496:the original
5490:
5483:
5474:
5472:Dawson, J. "
5468:
5457:the original
5452:
5448:
5435:
5424:the original
5415:
5389:
5380:
5353:
5347:
5338:
5332:
5315:
5311:
5305:
5296:
5284:
5280:
5274:
5252:
5223:(1): 41–60.
5220:
5216:
5203:
5195:the original
5190:
5186:
5176:
5167:
5158:
5149:
5143:
5137:
5128:
5119:
5107:
5088:
5070:
5066:
5057:
5041:
5031:
5021:
5013:
5010:Lam Lay Yong
4993:Lam Lay Yong
4988:
4972:
4967:
4951:
4943:
4932:. Retrieved
4895:
4888:
4872:
4867:
4862:, p. 50
4850:
4834:
4829:
4821:
4816:
4775:
4771:
4765:
4750:
4745:
4727:
4721:
4692:Proceedings
4691:
4672:
4661:. Retrieved
4647:
4623:
4619:
4594:
4583:
4564:
4555:
4547:
4538:
4527:. Retrieved
4516:
4507:
4496:. Retrieved
4487:
4477:
4460:
4441:
4398:
4386:. Retrieved
4377:
4352:. Retrieved
4334:10.1142/5425
4320:
4313:
4290:
4279:
4254:
4188:Decimal time
4152:
4148:
4144:
4140:
4111:
4107:
4103:
4089:
4085:
4081:
3998:long hundred
3976:language in
3955:Mesoamerican
3946:
3907:
3872:
3844:Data storage
3834:
3771:
3766:
3763:ten with one
3762:
3752:
3717:3 (hundred)
3702:
3698:
3672:
3664:
3653:
3642:
3637:
3631:
3628:Simon Stevin
3625:
3603:
3598:Al-Khwarizmi
3596:
3593:
3544:
3523:
3516:
3487:rod calculus
3483:
3427:
3414:
3369:
3353:
3349:
3323:Most modern
3322:
3280:
3252:
3237:
3236:, i.e. 9,990
3233:
3229:
3214:
3199:
3184:
3176:
3143:
3130:
3112:
3104:
3098:
3090:
3085:
3073:
3069:
3062:
3058:
3052:
3048:
3040:
3036:
3033:
3021:
3017:
3010:
3006:
2941:
2937:
2930:
2924:
2915:
2908:
2904:
2897:
2893:
2890:
2879:
2873:
2867:
2863:
2856:
2852:
2845:
2841:
2834:
2830:
2823:
2817:
2752:
2745:
2741:
2739:
2730:
2726:
2719:
2713:
2705:
2634:
2628:
2620:
2610:
2603:
2599:
2596:
2462:
2453:
2449:
2441:
2437:
2432:
2428:
2421:
2415:
2406:
2394:
2386:
2382:
2375:
2367:
2359:
2355:
2344:
2338:
2330:
2320:
2295:
2280:
2273:
2269:
2262:
2258:
2254:
2247:
2242:
2236:
2225:
2209:real numbers
2206:
1883:
1876:
1862:
1859:
1680:
1676:
1675:
1443:
1404:Signed-digit
1355:
1286:Contemporary
1153:Contemporary
966:
951:
944:
936:
932:integer part
930:
928:
642:The numeral
641:
634:
630:
623:
607:
603:
592:
588:
581:
578:
404:
394:is the dot "
340:decimal mark
333:
323:
319:
313:
274:
239:
235:
219:
217:
206:
201:
195:
186:
180:
173:
171:of the form
163:
160:
156:two decimals
155:
143:
127:
123:
119:
117:
112:
104:
92:
60:
53:
46:
44:
5990:(1968 film)
5987:Cosmic Zoom
5982:(1964 film)
5974:(1957 book)
5971:Cosmic View
5857:Temperature
5832:Probability
5782:Illuminance
4145:mer an thef
4139:numerals.
4108:tokapu talu
3795:information
3776:Other bases
3644:John Napier
3541:Qin Jiushao
3530:Zu Chongzhi
3345:hexadecimal
3316:) from the
3198:then 10,000
2467:amounts to
2323:real number
2291:upper bound
2283:measurement
2221:engineering
1693:denominator
1582:Akṣarapallī
1552:Tally marks
1451:Non-integer
342:, and, for
284:, then the
224:real number
209:approximate
167:. That is,
6054:Categories
6019:Cosmic Eye
5546:2014-09-12
5502:2011-05-29
4934:2019-07-21
4663:2008-08-15
4529:2013-06-18
4498:2020-08-22
4442:Arithmetic
4307:required.)
4271:References
4219:Duodecimal
4106:means 24,
4084:means 15,
4080:numbers.
4063:duodecimal
4044:Nunggubuyu
3978:California
3765:and 23 as
3735:Vietnamese
3701:and 23 as
3633:De Thiende
3471:Archimedes
3455:Mycenaeans
1619:Glagolitic
1592:Kaṭapayādi
1560:Alphabetic
1464:Asymmetric
1313:radix/base
1254:Cistercian
1239:Babylonian
1186:Vietnamese
1041:Devanagari
941:truncation
348:minus sign
5927:1000000th
5837:Radiation
5792:Luminance
5777:Frequency
5738:Computing
5654:161535519
5112:Gandz, S.
5073:: 101–08.
4690:, M. F.,
4688:Cowlishaw
4563:(1983) .
4484:"Decimal"
4388:March 17,
4354:March 17,
4143:means 6,
4102:numbers.
4096:Umbu-Ungu
4090:ngui ngui
4059:Nigerians
3900:(ternary)
3733:, and in
3723:4 (tens)
3691:, 10,000
3445:) of the
3347:systems.
3228:so 10,000
3169:012345679
2990:∞
2797:∞
2669:∞
2666:→
2639:tends to
2570:−
2554:−
2546:⋅
2520:−
2501:−
2187:…
2171:⋅
2139:⋅
2107:⋅
2075:⋅
2043:⋅
2011:⋅
1979:⋅
1947:⋅
1915:⋅
1868:separator
1587:Āryabhaṭa
1532:Kharosthi
1424:factorial
1391:Bijective
1299:(Iñupiaq)
1129:Sundanese
1124:Mongolian
1071:Malayalam
954:computing
886:⋯
803:⋯
792:−
776:−
712:…
676:…
668:−
551:…
515:…
507:−
449:…
441:−
169:fractions
107:) of the
6039:Category
5886:See also
5827:Pressure
5812:Molarity
5728:Bit rate
5706:Quantity
5372:76960942
5324:27709904
5241:Archived
5237:20412558
5127:(1985).
4928:Archived
4800:16598247
4702:Archived
4680:Archived
4657:Archived
4591:(1974).
4523:Archived
4492:Archived
4406:in 5.123
4382:Archived
4348:Archived
4286:"denary"
4260:accuracy
4167:Algorism
4160:See also
4153:nif thef
4052:Saraveca
4005:Archived
3894:(binary)
3739:Japanese
3638:La Disme
3543:'s book
3451:Linear B
3449:and the
3438:script (
3436:Linear A
3325:computer
3081:0.999...
3029:0.999...
2641:infinity
1689:fraction
1614:Georgian
1604:Cyrillic
1572:Armenian
1527:Etruscan
1522:Egyptian
1430:Negative
1297:Kaktovik
1292:Cherokee
1269:Pentadic
1193:Historic
1176:Japanese
1109:Javanese
1099:Balinese
1086:Dzongkha
1051:Gurmukhi
1046:Gujarati
984:a series
982:Part of
310:integers
257:quotient
178:, where
93:decanary
54:base-ten
5953:Related
5912:decades
5872:Voltage
5817:Numbers
5767:Entropy
5753:Density
5743:Current
5634:Bibcode
5266:2686959
5151:period.
4808:6787162
4780:Bibcode
4328:. 268.
4122:base-32
4100:base-24
4086:ngui ki
4078:base-15
4013:Goodare
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3873:decimal
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1224:History
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1159:Chinese
1104:Burmese
1094:Tibetan
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1036:Bengali
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101:numbers
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6014:(2010)
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