3313:
3628:
3411:
3149:, 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
6042:
2310:. 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
268:
3500:
38:
3574:
3517:
3594:
3584:
3579:
2204:
4023:
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'.
3357:
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
3491:
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
3377:
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
4002:
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.
4022:
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
3589:
923:
3569:
1901:
3524:
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
3093:
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
2598:
3676:
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
4269:
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
3361:
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
3756:
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:
5157:
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
3607:
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
2199:{\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 }
2705:
5151:
1748:
3653:
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:
4018:
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.
2816:
3009:
3184:
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.
4777:
Coppa, A.; et al. (2006). "Early
Neolithic tradition of dentistry: Flint tips were surprisingly effective for drilling tooth enamel in a prehistoric population".
2480:
3396:
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,
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
5121:: 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.
1846:, 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
4011:
4007:" = 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
1895:, 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
3346:, used decimal representation internally). For external use by computer specialists, this binary representation is sometimes presented in the related
5448:
3941:
3556:(1247) explicitly writes a decimal fraction representing a number rather than a measurement, using counting rods. The number 0.96644 is denoted
3422:
Many ancient cultures calculated with numerals based on ten, perhaps because two human hands have ten fingers. Standardized weights used in the
4934:
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}}}}
5696:
5853:
5247:
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
5496:
4529:
3601:
Historians of
Chinese science have speculated that the idea of decimal fractions may have been transmitted from China to the Middle East.
3378:
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,
5744:
4354:
4700:
4638:
5818:
3492:
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
1670:
645:
484:
5595:
5904:
5524:
5523:
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
5768:
1390:
4686:
5724:
4019:
3552:
3433:) 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
5421:
5803:
5103:
4911:
4866:
4456:
4388:
4348:
2218:. Nevertheless, they allow approximating every real number with any desired accuracy, e.g., the decimal 3.14159 approximates
5628:
5568:
5361:
The Exchequer in the twelfth century : the Ford lectures delivered in the University of Oxford in Michaelmas term, 1911
5808:
5189:
3934:
6076:
5042:. Vol. III, "Mathematics and the Sciences of the Heavens and the Earth". Cambridge University Press. pp. 82–90.
4663:
4595:
4567:
130:), refers generally to the notation of a number in the decimal numeral system. Decimals may sometimes be identified by a
4498:
2653:
5719:
1223:
5863:
5838:
5788:
5689:
5537:
5429:. Empirical Approaches to Language Typology. Vol. 45. Berlin: Mouton de Gruyter (published 2010). Archived from
5404:
5368:
5057:
5037:
4987:
4966:
4887:
4849:
4765:
4742:
4720:
4646:
4615:
4579:
1709:
5482:
Australian Aborigines: The Languages and Customs of Several Tribes of Aborigines in the Western District of Victoria
5304:
Some of the Germanic languages appear to show traces of an ancient blending of the decimal with the vigesimal system
6071:
5899:
3779:
Some psychologists suggest irregularities of the English names of numerals may hinder children's counting ability.
3398:
have no finite binary fractional representation; and is generally impossible for multiplication (or division). See
5843:
5798:
5783:
5131:
3999:-8) systems because the speakers count using the spaces between their fingers rather than the fingers themselves.
3927:
3619:
used decimal fractions around 1350 but did not develop any notation to represent them. The Persian mathematician
1014:
305:
108:
6066:
5833:
5734:
5395:
number words up to 32 written down by a Spanish priest ca. 1819. "Chumashan Numerals" by Madison S. Beeler, in
3468:
in central Europe (2300-1600 BC) used standardised weights and a decimal system in trade. The number system of
3399:
1457:
5420:
Hammarström, Harald (17 May 2007). "Rarities in Numeral Systems". In Wohlgemuth, Jan; Cysouw, Michael (eds.).
4008:
3414:
The world's earliest decimal multiplication table was made from bamboo slips, dating from 305 BCE, during the
418:
5878:
5823:
5773:
5759:
5749:
3665:
using a set of ten symbols emerged in India. Several Indian languages show a straightforward decimal system.
1663:
1238:
4708:
586:, that is, if the first sequence contains at least two digits, it is generally assumed that the first digit
6045:
5966:
5883:
5868:
5793:
5764:
5739:
5682:
5463:
4954:
2769:
1583:
5848:
2956:
5858:
5828:
5778:
4524:
1410:
208:
3366:, especially in database implementations, but there are other decimal representations in use (including
1593:
413:
either a (finite) sequence of digits (such as "2017"), where the entire sequence represents an integer:
5873:
5813:
5754:
5729:
3612:
1470:
244:
is an infinite decimal that, after some place, repeats indefinitely the same sequence of digits (e.g.,
5155:. Translated by Macdonald, William Rae. Edinburgh: Blackwood & Sons – via Internet Archive.
4900:
Krause, Harald; Kutscher, Sabrina (2017). "Spangenbarrenhort Oberding: Zusammenfassung und Ausblick".
6017:
6008:
4298:
4204:
4054:
4031:
3423:
1566:
1335:
968:
259:
of two integers, if and only if it is a repeating decimal or has a finite number of non-zero digits.
56:
5170:
4930:
5267:. "Ethnomathematics: A Multicultural View of Mathematical Ideas". The College Mathematics Journal.
1656:
983:
158:". Zero-digits after a decimal separator serve the purpose of signifying the precision of a value.
31:
2306:
digits after the decimal mark, as soon as the absolute measurement error is bounded from above by
4303:
2293:
1646:
1430:
1027:
17:
4827:
Bisht, R. S. (1982), "Excavations at Banawali: 1974–77", in Possehl, Gregory L. (ed.), Harappan
4519:
4034:
counting system, in which the names for numbers were structured according to multiples of 4 and
1291:
5985:
5502:
4266:
4219:
4199:
4184:
3869:
3367:
2323:
1892:
1695:
1330:
1246:
231:
227:
211:
real numbers. By increasing the number of digits after the decimal separator, one can make the
168:
4061:. Of these, Gumatj is the only true 5–25 language known, in which 25 is the higher group of 5.
3540:
4311:
3335:
3324:
1448:
5392:
5216:
4072:
systems. So did some small communities in India and Nepal, as indicated by their languages.
3526:
2593:{\displaystyle \left\vert \left_{n}-\left_{n-1}\right\vert =d_{n}\cdot 10^{-n}<10^{-n+1}}
6000:
5640:
4786:
4607:
4451:. Cambridge, Massachusetts London, England: The Belknap Press of Harvard University Press.
4178:
3801:
3611:
Positional decimal fractions appear for the first time in a book by the Arab mathematician
3465:
3438:
3363:
1543:
1404:
1397:
1278:
939:
of a decimal numeral is the integer written to the left of the decimal separator (see also
191:
8:
5610:
4235:
4050:
4027:
3889:
3796:
3788:
3741:
3666:
3643:("the art of tenths") was first published in Dutch in 1585 and translated into French as
3453:
2623:
2311:
1625:
1615:
1490:
1441:
1253:
1185:
1040:
1001:
406:
212:
5644:
5543:
5480:
5217:"The typology of Pame number systems and the limits of Mesoamerica as a linguistic area"
5094:
Berggren, J. Lennart (2007). "Mathematics in Medieval Islam". In Katz, Victor J. (ed.).
4790:
3381:
1080:
5918:
5705:
5656:
5326:
5299:
5268:
5239:
4810:
4600:
4102:
3808:
3761:
3673:
1538:
1128:
1123:
1070:
2350:
denote the (finite) decimal expansion of the greatest number that is not greater than
1075:
5971:
5950:
5945:
5660:
5533:
5400:
5374:
5364:
5099:
5053:
4983:
4962:
4907:
4883:
4862:
4845:
4802:
4761:
4738:
4716:
4683:
4642:
4611:
4575:
4452:
4410:
4344:
4209:
3831:
3745:
3481:
3133:
1874:
1620:
1610:
1598:
1578:
1533:
1528:
1464:
1296:
1268:
1175:
1108:
1098:
1085:
1050:
1045:
601:. Similarly, if the final digit on the right of the decimal mark is zero—that is, if
391:
281:
240:
131:
5243:
4861:
Graham Flegg: Numbers: their history and meaning, Courier Dover Publications, 2002,
3011:
is the decimal fraction obtained by replacing the last digit that is not a 9, i.e.:
1513:
5648:
5430:
5295:
5231:
4814:
4794:
4336:
4332:
4189:
4139:
4080:
3737:
3620:
3616:
3469:
3461:
3102:, and the other containing only 9s after some place, which is obtained by defining
1523:
1417:
1170:
1158:
1103:
1093:
1060:
1035:
301:
146:
may also refer specifically to the digits after the decimal separator, such as in "
65:
5629:"The Work of Glendon Lean on the Counting Systems of Papua New Guinea and Oceania"
5317:
Voyles, Joseph (October 1987), "The cardinal numerals in pre-and proto-Germanic",
4380:
4292:
5664:
5580:
4712:
4690:
4550:
4046:
4015:
3765:
3749:
3669:
have numbers between 10 and 20 expressed in a regular pattern of addition to 10.
3142:
1691:
1635:
1605:
1548:
1518:
1503:
1263:
1231:
1203:
1180:
1163:
1022:
945:
625:
343:
293:
285:
252:
196:
5201:
4574:(1 (reprint) ed.). Malabar, Florida: Robert E. Krieger Publishing Company.
1118:
5033:
4634:
4240:
4214:
4124:
3875:
3837:
3817:
3662:
3531:
3473:
3415:
3312:
1885:
1703:
1630:
1573:
1553:
1508:
1381:
1113:
1065:
991:
297:
289:
276:
49:
4659:
3623:
used, and claimed to have discovered, decimal fractions in the 15th century.
3441:, in evidence since around 3000 BCE, used a purely decimal system, as did the
312:. This system has been extended to represent some non-integer numbers, called
6060:
5940:
5909:
5264:
5118:
4490:
4245:
4135:
4076:
3965:
3958:
3862:
3821:
3753:
3138:
3063:, may be converted to its equivalent infinite decimal expansion by replacing
1436:
1325:
1258:
1198:
1133:
1055:
335:
5378:
5235:
5096:
The Mathematics of Egypt, Mesopotamia, China, India, and Islam: A Sourcebook
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
5069:
5016:
4999:
4806:
4194:
4084:
4004:
3768:
have an almost straightforward decimal system, in which 11 is expressed as
3634:
3604:
3493:
1588:
931:
339:
3627:
5993:
5977:
5914:
4035:
3961:
3650:
3547:
3536:
3410:
3351:
2329:
2297:
2289:
2227:
2215:
1699:
1558:
1423:
1375:
1365:
475:
or a decimal mark separating two sequences of digits (such as "20.70828")
223:
5498:
Decimal vs. Duodecimal: An interaction between two systems of numeration
5330:
5052:
Jean-Claude Martzloff, A History of Chinese Mathematics, Springer 1997
5019:, "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.
267:
6025:
5652:
5272:
5036:(1959). "19.2 Decimals, Metrology, and the Handling of Large Numbers".
4737:(4th ed.), The Free Press (Macmillan Publishing Co.), p. 12,
4225:
4069:
3984:
3980:
3827:
3639:
3477:
1360:
940:
347:
5674:
4549:"Fingers or Fists? (The Choice of Decimal or Binary Representation)",
3573:
194:. Decimal fractions also result from the addition of an integer and a
5933:
5928:
5286:
McClean, R. J. (July 1958), "Observations on the Germanic numerals",
4694:
3969:
3680:
A straightforward decimal rank system with a word for each order (10
3472:
also used powers of ten, including an intermediate base of 5, as did
1881:, whose numerator is the integer obtained by removing the separator.
1370:
953:
5344:
Stevenson, W.H. (1890). "The Long Hundred and its uses in England".
5072:. "A Chinese Genesis, Rewriting the history of our numeral system".
4901:
4798:
2300:, the result of a measurement is well-represented by a decimal with
4173:
4058:
3633:
A forerunner of modern European decimal notation was introduced by
3485:
3457:
3442:
3371:
3331:
3087:
3035:
2647:
256:
4326:
3593:
3588:
3583:
3578:
3316:
Diagram of the world's earliest known multiplication table (
161:
The numbers that may be represented in the decimal system are the
4705:
4340:
4128:
4106:
4065:
4042:
3568:
3488:
hieroglyphs (since 15th century BCE) were also strictly decimal.
3343:
2223:
1340:
309:
96:
5501:. 2nd Meeting of the AFLANG, October 1998, Tokyo. Archived from
1690:, especially in contexts involving explicit fractions) are the
271:
Ten digits on two hands, the possible origin of decimal counting
37:
4472:
4143:
3988:
3904:
3516:
3499:
1345:
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}}
100:
2214:
Decimal numerals do not allow an exact representation for all
80:
74:
4476:
4417:
indicates that the '144' sequence repeats indefinitely, i.e.
4230:
3996:
3992:
3910:
3898:
3480:(c. 287–212 BCE) invented a decimal positional system in his
3347:
3339:
1350:
1312:
1273:
5423:
Rethinking Universals: How rarities affect linguistic theory
1877:(a point or comma) represents the fraction with denominator
398:" in many countries (mostly English-speaking), and a comma "
83:
4003:
Where this counting system is known, it is based on the "
3973:
3858:
3180:
012... (with the group 012345679 indefinitely repeating).
2222:, being less than 10 off; so decimals are widely used in
4265:
Sometimes, the extra zeros are used for indicating the
3338:
internally (although many early computers, such as the
4831:, New Delhi: Oxford and IBH Publishing Co., pp. 113–24
3972:
system (perhaps based on using all twenty fingers and
3954:
Some cultures do, or did, use other bases of numbers.
3615:
written in the 10th century. The Jewish mathematician
2959:
2772:
2656:
2209:
5152:
The Construction of the Wonderful Canon of Logarithms
5130:
3384:
3141:
allows computing the infinite decimal expansion of a
2483:
1904:
1712:
956:, that the integer part is not written (for example,
743:
648:
487:
421:
387:
383:
379:
375:
371:
367:
363:
359:
355:
351:
77:
5358:
5136:
A History of Algebra. From Khwarizmi to Emmy Noether
2622:
tends to infinity. According to the definition of a
71:
5415:
5413:
4959:
Zahlwort und Ziffer. Eine Kulturgeschichte der Zahl
2700:{\textstyle \;x=\lim _{n\rightarrow \infty }_{n}\;}
68:
5449:"Facts and fallacies of aboriginal number systems"
5190:"English words may hinder math skills development"
4599:
4291:
3637:in the 16th century. Stevin's influential booklet
3390:
3288:or, dividing both numerator and denominator by 6,
3003:
2810:
2699:
2592:
2198:
1742:
917:
726:
565:
463:
4925:
4923:
4557:, Vol. 2 #12, pp. 3–11, ACM Press, December 1959.
2288:Numbers are very often obtained as the result of
334:For writing numbers, the decimal system uses ten
6058:
5410:
4980:From One to Zero. A Universal History of Numbers
4880:From One to Zero. A Universal History of Numbers
4842:From One to Zero. A Universal History of Numbers
4290:
2665:
3712:, and 89,345 is expressed as 8 (ten thousands)
3511:
3372:IEEE 754 Standard for Floating-Point Arithmetic
1884:It follows that a number is a decimal fraction
1743:{\displaystyle 0.8,14.89,0.00079,1.618,3.14159}
5447:Harris, John (1982). Hargrave, Susanne (ed.).
5142:
5032:
4920:
4899:
4684:Decimal Floating-Point: Algorism for Computers
4631:Decimal Floating-Point: Algorism for Computers
3503:The world's earliest positional decimal system
103:. It is the extension to non-integer numbers (
5690:
5319:The Journal of English and Germanic Philology
4990:, pp. 218f. (The Hittite hieroglyphic system)
4723:, pp. 104–11, IEEE Comp. Soc., June 2003
3935:
3731:
3725:
3719:
3713:
3699:
3693:
3687:
3681:
3560:
3334:hardware and software systems commonly use a
3034:, and replacing all subsequent 9s by 0s (see
2317:
1706:of ten. For example, the decimal expressions
1664:
4961:, Vandenhoeck und Ruprecht, 3rd. ed., 1979,
4105:, also known as Kakoli, is reported to have
5419:
5098:. Princeton University Press. p. 530.
5089:
5087:
4588:
4560:
3086:and replacing all subsequent 0s by 9s (see
230:of digits after the decimal separator (see
5697:
5683:
5593:
5494:
5194:American Psychological Association Monitor
4701:16th IEEE Symposium on Computer Arithmetic
4639:16th IEEE Symposium on Computer Arithmetic
4325:Yong, Lam Lay; Se, Ang Tian (April 2004).
3942:
3928:
3592:
3587:
3582:
3577:
3572:
3567:
3228:
3198:
2960:
2857:. This expansion is unique if neither all
2773:
2696:
2657:
1671:
1657:
200:; the resulting sum sometimes is called a
5343:
5263:
5026:
4378:
3529:, as described in the 3rd–5th century CE
3358:unable to encode that number precisely.)
5566:
5522:
5093:
5084:
5002:et al. The Fleeting Footsteps pp. 137–39
4829:Civilisation: A Contemporary Perspective
4446:
3527:performed using positional counting rods
3515:
3498:
3409:
3311:
2259:digits after the decimal mark such that
1888:it has a finite decimal representation.
464:{\displaystyle a_{m}a_{m-1}\ldots a_{0}}
266:
36:
5704:
5285:
5214:
4732:
41:Place value of number in decimal system
14:
6059:
5633:Mathematics Education Research Journal
5446:
5316:
5148:
5012:
5010:
5008:
4606:(1st ed.). Binghamton, New York:
4594:
4566:
4324:
3661:A method of expressing every possible
3553:Mathematical Treatise in Nine Sections
3307:
2811:{\textstyle \;(d_{n})_{n=1}^{\infty }}
2233:More precisely, for every real number
314:
162:
95:) is the standard system for denoting
5678:
5626:
5573:Papua New Guinea Journal of Education
5399:, edited by Michael P. Closs (1986),
5074:Archive for History of Exact Sciences
4852:, pp. 200–13 (Egyptian Numerals)
4776:
4488:
4379:Weisstein, Eric W. (March 10, 2022).
3146:
3004:{\textstyle \;(_{n})_{n=1}^{\infty }}
5596:"Kaugel Valley systems of reckoning"
5594:Bowers, Nancy; Lepi, Pundia (1975).
5532:. Leuven: Peeters. pp. 91–119.
5187:
5068:
4442:
4440:
4374:
4372:
4312:participating institution membership
3656:
3437:– was divided into ten equal parts.
2379:. It is straightforward to see that
974:
251:). An infinite decimal represents a
5124:
5005:
4906:. Museum Erding. pp. 238–243.
4760:(in French), Paris: Payot, p. 113,
4649:, pp. 104–11, IEEE Comp. Soc., 2003
4391:from the original on March 21, 2022
3704:), and in which 11 is expressed as
3535:. The 5th century CE mathematician
3127:
2360:digits after the decimal mark. Let
2210:Approximation using decimal numbers
329:
24:
5300:10.1111/j.1468-0483.1958.tb00018.x
4357:from the original on April 1, 2023
3370:such as in newer revisions of the
2996:
2803:
2675:
25:
6088:
5603:Journal of the Polynesian Society
5039:Science and Civilisation in China
5023:, 1996 p. 38, Kurt Vogel notation
4437:
4369:
4131:number system with base-4 cycles.
3520:counting rod decimal fraction 1/7
3460:script (c. 1400–1200 BCE) of the
3041:Any such decimal fraction, i.e.:
2891:greater than some natural number
2292:. As measurements are subject to
6041:
6040:
5972:Earth's location in the Universe
5900:Back-of-the-envelope calculation
5253:from the original on 2006-07-12.
4735:Number / The Language of Science
3626:
628:, a minus sign is placed before
409:, a decimal numeral consists of
64:
27:Number in base-10 numeral system
5905:Best-selling electronic devices
5620:
5587:
5560:
5516:
5488:
5473:
5456:Work Papers of SIL-AAB Series B
5440:
5385:
5363:. Clark, NJ: Lawbook Exchange.
5352:
5337:
5310:
5279:
5257:
5208:
5181:
5163:
5112:
5062:
5046:
4993:
4972:
4948:
4937:from the original on 2019-07-21
4893:
4872:
4855:
4834:
4821:
4770:
4750:
4726:
4677:
4666:from the original on 2009-04-29
4652:
4624:
4543:
4532:from the original on 2013-12-11
4501:from the original on 2020-03-18
3124:digits after the decimal mark.
3110:as the greatest number that is
2616:, or gets arbitrarily small as
1867:More generally, a decimal with
1864:, 3 not being a power of 10.
4890:, pp. 213–18 (Cretan numerals)
4512:
4482:
4465:
4403:
4318:
4284:
4259:
3782:
3400:Arbitrary-precision arithmetic
3145:. If the rational number is a
2981:
2971:
2964:
2961:
2788:
2774:
2687:
2680:
2672:
207:Decimals are commonly used to
13:
1:
5569:"Counting and Number in Huli"
5391:There is a surviving list of
5359:Poole, Reginald Lane (2006).
4277:
3446:
3427:
3317:
2387:may be obtained by appending
5967:Astronomical system of units
3987:and the Pamean languages in
3744:with a few irregularities.
3512:History of decimal fractions
2760:Conversely, for any integer
350:"−". The decimal digits are
246:5.123144144144144... = 5.123
7:
5609:(3): 309–24. Archived from
5397:Native American Mathematics
5215:Avelino, Heriberto (2006).
4525:Encyclopedia of Mathematics
4471:In some countries, such as
4166:
2953:, the limit of the sequence
2237:and every positive integer
1694:that may be expressed as a
306:Hindu–Arabic numeral system
109:Hindu–Arabic numeral system
10:
6093:
6077:Positional numeral systems
5495:Matsushita, Shuji (1998).
5175:Ancient Indian mathematics
5138:. Berlin: Springer-Verlag.
4903:Spangenbarrenhort Oberding
4660:"Decimal Arithmetic – FAQ"
4045:number systems, including
3786:
3405:
3131:
2849:infinite decimal expansion
2818:the (infinite) expression
2766:and any sequence of digits
2749:infinite decimal expansion
2321:
2318:Infinite decimal expansion
1391:Non-standard radices/bases
134:(usually "." or "," as in
29:
6036:
6018:The Scale of the Universe
5959:
5892:
5712:
4756:Sergent, Bernard (1997),
4555:Communications of the ACM
4299:Oxford English Dictionary
4205:Decimal section numbering
4009:Introduction to Old Norse
3732:
3726:
3720:
3714:
3700:
3694:
3688:
3682:
3561:
3507:Lower row horizontal form
3424:Indus Valley Civilisation
2371:denote the last digit of
2241:, there are two decimals
969:positional numeral system
262:
57:positional numeral system
5567:Cheetham, Brian (1978).
5462:: 153–81. Archived from
5348:. December 1889: 313–22.
4733:Dantzig, Tobias (1954),
4252:
3760:Incan languages such as
3476:. Notably, the polymath
3402:for exact calculations.
1750:represent the fractions
150:is the approximation of
32:Decimal (disambiguation)
6072:Fractions (mathematics)
5579:: 16–35. Archived from
5485:(1881), p. xcviii.
5288:German Life and Letters
5236:10.1515/LINGTY.2006.002
4982:, Penguin Books, 1988,
4882:, Penguin Books, 1988,
4844:, Penguin Books, 1988,
4479:are used for the digits
4447:Lockhart, Paul (2017).
4304:Oxford University Press
4117:means 24 × 2 = 48, and
4095:means 15 × 2 = 30, and
3613:Abu'l-Hasan al-Uqlidisi
3505:Upper row vertical form
3484:which was based on 10.
2868:are equal to 9 nor all
2294:measurement uncertainty
1893:fully reduced fractions
1647:List of numeral systems
5986:To the Moon and Beyond
5854:Specific heat capacity
5149:Napier, John (1889) .
4475:-speaking ones, other
4220:Densely packed decimal
4200:Decimal representation
4185:Decimal classification
4127:is reported to have a
3521:
3508:
3419:
3392:
3368:decimal floating point
3327:
3005:
2885:large enough (for all
2812:
2701:
2604:which is either 0, if
2594:
2457:and the difference of
2324:Decimal representation
2200:
1744:
919:
734:represents the number
728:
567:
465:
402:" in other countries.
324:decimal numeral system
272:
232:decimal representation
42:
6067:Elementary arithmetic
6004:(1968 and 1977 films)
5346:Archaeological Review
5132:B. L. van der Waerden
4608:John Wiley & Sons
4495:mathworld.wolfram.com
3964:cultures such as the
3809:Information-theoretic
3539:calculated a 7-digit
3519:
3502:
3413:
3393:
3336:binary representation
3325:Warring States period
3315:
3266:
3251:
3213:
3006:
2813:
2702:
2595:
2201:
1745:
1015:Hindu–Arabic numerals
920:
729:
599:3.14 = 03.14 = 003.14
568:
466:
270:
222:for representing any
40:
4270:10 centimetres.
4179:Binary-coded decimal
4142:is reported to have
4121:means 24 × 24 = 576.
4099:means 15 × 15 = 225.
4083:is reported to have
3450: 1800–1450 BCE
3439:Egyptian hieroglyphs
3431: 3300–1300 BCE
3382:
3364:binary-coded decimal
2957:
2770:
2654:
2650:. This is written as
2481:
1902:
1710:
1544: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
5706:Orders of magnitude
5645:2001MEdRJ..13...47O
5627:Owens, Kay (2001),
5224:Linguistic Typology
5200:(4). Archived from
5188:Azar, Beth (1999).
4791:2006Natur.440..755C
4602:Decimal Computation
4572:Decimal Computation
4489:Weisstein, Eric W.
4411:vinculum (overline)
4302:(Online ed.).
4236:Scientific notation
4041:Many languages use
4028:Chumashan languages
4026:Many or all of the
3890:Quantum information
3789:Positional notation
3667:Dravidian languages
3308:Decimal computation
3000:
2879:are equal to 0 for
2807:
2747:which is called an
2407:. This way one has
2312:significant figures
2230:and everyday life.
1491:Sign-value notation
624:For representing a
407:non-negative number
405:For representing a
184:is an integer, and
6012:(1996 documentary)
5941:Metric (SI) prefix
5653:10.1007/BF03217098
5436:on 19 August 2007.
5393:Ventureño language
4711:2010-08-19 at the
4689:2003-11-16 at the
4635:Cowlishaw, Mike F.
4520:"Decimal Fraction"
4328:Fleeting Footsteps
4154:means 6 × 2 = 12,
4030:originally used a
4014:2016-04-15 at the
3774:two-ten with three
3674:Hungarian language
3522:
3509:
3435:Mohenjo-daro ruler
3420:
3391:{\displaystyle 10}
3388:
3328:
3253:4152.000000000...
3215:4156.156156156...
3001:
2980:
2808:
2787:
2697:
2679:
2590:
2196:
1740:
1686:(sometimes called
1147:East Asian systems
915:
724:
619:5.2 = 5.20 = 5.200
563:
461:
322:, for forming the
273:
43:
6054:
6053:
5951:Microscopic scale
5946:Macroscopic scale
5171:"Indian numerals"
5105:978-0-691-11485-9
4969:, pp. 150–53
4913:978-3-9817606-5-1
4867:978-0-486-42165-0
4458:978-0-674-97223-0
4385:Wolfram MathWorld
4350:978-981-238-696-0
4310:(Subscription or
4210:Decimal separator
3952:
3951:
3657:Natural languages
3541:approximation of
3286:
3285:
3151:repeating decimal
3134:Repeating decimal
3118:, having exactly
2851:of a real number
2664:
2356:that has exactly
1873:digits after the
1684:Decimal fractions
1681:
1680:
1480:
1479:
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
6084:
6044:
6043:
5725:Angular momentum
5699:
5692:
5685:
5676:
5675:
5669:
5668:
5663:, archived from
5624:
5618:
5617:
5615:
5600:
5591:
5585:
5584:
5564:
5558:
5557:
5555:
5554:
5548:
5542:. Archived from
5531:
5520:
5514:
5513:
5511:
5510:
5492:
5486:
5477:
5471:
5470:
5468:
5453:
5444:
5438:
5437:
5435:
5428:
5417:
5408:
5389:
5383:
5382:
5356:
5350:
5349:
5341:
5335:
5333:
5314:
5308:
5306:
5283:
5277:
5276:
5261:
5255:
5254:
5252:
5221:
5212:
5206:
5205:
5185:
5179:
5178:
5167:
5161:
5160:
5146:
5140:
5139:
5128:
5122:
5116:
5110:
5109:
5091:
5082:
5081:
5066:
5060:
5050:
5044:
5043:
5030:
5024:
5014:
5003:
4997:
4991:
4976:
4970:
4952:
4946:
4945:
4943:
4942:
4927:
4918:
4917:
4897:
4891:
4876:
4870:
4859:
4853:
4838:
4832:
4825:
4819:
4818:
4785:(7085): 755–56.
4774:
4768:
4758:Genèse de l'Inde
4754:
4748:
4747:
4730:
4724:
4681:
4675:
4674:
4672:
4671:
4656:
4650:
4628:
4622:
4621:
4605:
4592:
4586:
4585:
4564:
4558:
4547:
4541:
4540:
4538:
4537:
4516:
4510:
4509:
4507:
4506:
4486:
4480:
4469:
4463:
4462:
4444:
4435:
4433:
4431:
4428:
4425:
4422:
4416:
4407:
4401:
4400:
4398:
4396:
4376:
4367:
4366:
4364:
4362:
4333:World Scientific
4322:
4316:
4315:
4307:
4295:
4288:
4271:
4263:
4190:Decimal computer
4162:means 36×2 = 72.
4140:Papua New Guinea
4081:Papua New Guinea
4055:Kuurn Kopan Noot
4043:quinary (base-5)
3944:
3937:
3930:
3793:
3792:
3735:
3734:
3729:
3728:
3723:
3722:
3717:
3716:
3703:
3702:
3697:
3696:
3691:
3690:
3685:
3684:
3630:
3621:Jamshid al-Kashi
3617:Immanuel Bonfils
3596:
3591:
3586:
3581:
3576:
3571:
3564:
3563:
3544:
3470:classical Greece
3451:
3448:
3432:
3429:
3418:period in China.
3397:
3395:
3394:
3389:
3322:
3319:
3303:
3301:
3300:
3297:
3294:
3282:
3280:
3279:
3276:
3273:
3267:
3252:
3229:
3214:
3200:0.4156156156...
3199:
3190:For example, if
3187:
3186:
3179:
3175:
3171:
3169:
3168:
3165:
3162:
3147:decimal fraction
3128:Rational numbers
3122:
3117:
3109:
3101:
3085:
3073:
3062:
3052:
3033:
3021:
3010:
3008:
3007:
3002:
2999:
2994:
2979:
2978:
2952:
2918:
2908:
2894:
2889:
2883:
2878:
2867:
2855:
2846:
2817:
2815:
2814:
2809:
2806:
2801:
2786:
2785:
2765:
2755:
2742:
2706:
2704:
2703:
2698:
2695:
2694:
2678:
2644:
2639:
2632:is the limit of
2630:
2620:
2615:
2599:
2597:
2596:
2591:
2589:
2588:
2567:
2566:
2551:
2550:
2538:
2534:
2533:
2532:
2521:
2506:
2505:
2500:
2473:
2465:
2452:
2406:
2398:to the right of
2397:
2386:
2378:
2370:
2359:
2354:
2349:
2341:
2334:
2309:
2305:
2284:
2272:
2257:
2252:
2246:
2240:
2236:
2221:
2205:
2203:
2202:
2197:
2189:
2188:
2176:
2175:
2157:
2156:
2144:
2143:
2125:
2124:
2112:
2111:
2093:
2092:
2080:
2079:
2061:
2060:
2048:
2047:
2029:
2028:
2016:
2015:
1997:
1996:
1984:
1983:
1965:
1964:
1952:
1951:
1933:
1932:
1920:
1919:
1880:
1872:
1863:
1862:
1860:
1859:
1856:
1853:
1845:
1844:
1842:
1841:
1838:
1835:
1831:
1824:
1823:
1821:
1820:
1817:
1814:
1810:
1803:
1802:
1800:
1799:
1796:
1793:
1785:
1784:
1782:
1781:
1778:
1775:
1767:
1766:
1764:
1763:
1760:
1757:
1749:
1747:
1746:
1741:
1692:rational numbers
1673:
1666:
1659:
1462:
1446:
1428:
1418:balanced ternary
1415:
1402:
1008:
1007:
979:
978:
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:
6092:
6091:
6087:
6086:
6085:
6083:
6082:
6081:
6057:
6056:
6055:
6050:
6032:
5955:
5888:
5804:Magnetic moment
5708:
5703:
5673:
5672:
5625:
5621:
5613:
5598:
5592:
5588:
5565:
5561:
5552:
5550:
5546:
5540:
5529:
5521:
5517:
5508:
5506:
5493:
5489:
5478:
5474:
5466:
5451:
5445:
5441:
5433:
5426:
5418:
5411:
5390:
5386:
5371:
5357:
5353:
5342:
5338:
5315:
5311:
5284:
5280:
5262:
5258:
5250:
5219:
5213:
5209:
5186:
5182:
5169:
5168:
5164:
5147:
5143:
5129:
5125:
5117:
5113:
5106:
5092:
5085:
5067:
5063:
5051:
5047:
5031:
5027:
5021:Chinese Science
5015:
5006:
4998:
4994:
4978:Georges Ifrah:
4977:
4973:
4955:Menninger, Karl
4953:
4949:
4940:
4938:
4931:"Greek numbers"
4929:
4928:
4921:
4914:
4898:
4894:
4878:Georges Ifrah:
4877:
4873:
4860:
4856:
4840:Georges Ifrah:
4839:
4835:
4826:
4822:
4799:10.1038/440755a
4775:
4771:
4755:
4751:
4745:
4731:
4727:
4713:Wayback Machine
4691:Wayback Machine
4682:
4678:
4669:
4667:
4658:
4657:
4653:
4629:
4625:
4618:
4596:Schmid, Hermann
4593:
4589:
4582:
4568:Schmid, Hermann
4565:
4561:
4551:Werner Buchholz
4548:
4544:
4535:
4533:
4518:
4517:
4513:
4504:
4502:
4487:
4483:
4470:
4466:
4459:
4445:
4438:
4429:
4426:
4423:
4420:
4418:
4414:
4408:
4404:
4394:
4392:
4381:"Decimal Point"
4377:
4370:
4360:
4358:
4351:
4323:
4319:
4309:
4289:
4285:
4280:
4275:
4274:
4264:
4260:
4255:
4250:
4169:
4016:Wayback Machine
3948:
3800:
3791:
3785:
3659:
3631:
3542:
3514:
3506:
3504:
3466:Únětice culture
3449:
3430:
3408:
3383:
3380:
3379:
3320:
3310:
3298:
3295:
3292:
3291:
3289:
3277:
3274:
3271:
3270:
3268:
3265:
3250:
3230:4.156156156...
3227:
3212:
3197:
3177:
3173:
3166:
3163:
3160:
3159:
3157:
3153:. For example,
3143:rational number
3136:
3130:
3120:
3115:
3108:
3103:
3100:
3095:
3083:
3075:
3072:
3064:
3054:
3050:
3042:
3031:
3023:
3020:
3012:
2995:
2984:
2974:
2970:
2958:
2955:
2954:
2951:
2942:
2936:
2929:
2925:
2920:
2919:equal to 9 and
2910:
2907:
2899:
2892:
2887:
2881:
2877:
2869:
2866:
2858:
2853:
2844:
2835:
2829:
2822:
2819:
2802:
2791:
2781:
2777:
2771:
2768:
2767:
2764:
2761:
2753:
2740:
2731:
2725:
2718:
2711:
2690:
2686:
2668:
2655:
2652:
2651:
2642:
2638:
2633:
2628:
2618:
2613:
2605:
2575:
2571:
2559:
2555:
2546:
2542:
2522:
2511:
2510:
2501:
2490:
2489:
2488:
2484:
2482:
2479:
2478:
2472:
2467:
2464:
2458:
2451:
2443:
2433:
2427:
2420:
2416:
2411:
2405:
2399:
2396:
2388:
2385:
2380:
2377:
2372:
2369:
2361:
2357:
2352:
2348:
2343:
2336:
2335:and an integer
2332:
2326:
2320:
2307:
2301:
2274:
2260:
2255:
2248:
2242:
2238:
2234:
2219:
2212:
2184:
2180:
2171:
2167:
2152:
2148:
2139:
2135:
2120:
2116:
2107:
2103:
2088:
2084:
2075:
2071:
2056:
2052:
2043:
2039:
2024:
2020:
2011:
2007:
1992:
1988:
1979:
1975:
1960:
1956:
1947:
1943:
1928:
1924:
1915:
1911:
1903:
1900:
1899:
1878:
1868:
1857:
1854:
1851:
1850:
1848:
1847:
1839:
1836:
1833:
1832:
1829:
1827:
1826:
1818:
1815:
1812:
1811:
1808:
1806:
1805:
1797:
1794:
1791:
1790:
1788:
1787:
1779:
1776:
1773:
1772:
1770:
1769:
1761:
1758:
1755:
1754:
1752:
1751:
1711:
1708:
1707:
1688:decimal numbers
1677:
1641:
1640:
1563:
1549:Proto-cuneiform
1494:
1493:
1482:
1481:
1476:
1475:
1460:
1444:
1426:
1413:
1400:
1387:
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
907:
903:
897:
893:
891:
874:
870:
864:
860:
858:
847:
843:
837:
833:
831:
822:
818:
812:
808:
787:
783:
771:
767:
758:
754:
748:
744:
742:
739:
738:
718:
714:
705:
701:
695:
691:
682:
678:
663:
659:
653:
649:
647:
644:
643:
637:
629:
626:negative number
618:
614:
610:
602:
598:
595:
587:
580:
557:
553:
544:
540:
534:
530:
521:
517:
502:
498:
492:
488:
486:
483:
482:
455:
451:
436:
432:
426:
422:
420:
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:
6090:
6080:
6079:
6074:
6069:
6052:
6051:
6049:
6048:
6037:
6034:
6033:
6031:
6030:
6022:
6014:
6006:
5998:
5990:
5982:
5974:
5969:
5963:
5961:
5957:
5956:
5954:
5953:
5948:
5943:
5938:
5937:
5936:
5931:
5926:
5912:
5907:
5902:
5896:
5894:
5890:
5889:
5887:
5886:
5881:
5876:
5871:
5866:
5861:
5856:
5851:
5849:Sound pressure
5846:
5841:
5836:
5831:
5826:
5821:
5816:
5811:
5809:Magnetic field
5806:
5801:
5796:
5791:
5786:
5781:
5776:
5771:
5769:Energy density
5762:
5757:
5752:
5747:
5742:
5737:
5732:
5727:
5722:
5716:
5714:
5710:
5709:
5702:
5701:
5694:
5687:
5679:
5671:
5670:
5619:
5616:on 2011-06-04.
5586:
5583:on 2007-09-28.
5559:
5538:
5515:
5487:
5472:
5469:on 2007-08-31.
5439:
5409:
5384:
5369:
5351:
5336:
5309:
5278:
5256:
5207:
5204:on 2007-10-21.
5180:
5162:
5141:
5123:
5111:
5104:
5083:
5061:
5045:
5034:Joseph Needham
5025:
5004:
4992:
4971:
4947:
4919:
4912:
4892:
4871:
4854:
4833:
4820:
4769:
4749:
4743:
4725:
4676:
4651:
4637:, Proceedings
4623:
4616:
4587:
4580:
4559:
4542:
4511:
4481:
4464:
4457:
4436:
4402:
4368:
4349:
4317:
4282:
4281:
4279:
4276:
4273:
4272:
4257:
4256:
4254:
4251:
4249:
4248:
4243:
4241:Serial decimal
4238:
4233:
4228:
4223:
4217:
4215:Decimalisation
4212:
4207:
4202:
4197:
4192:
4187:
4182:
4176:
4170:
4168:
4165:
4164:
4163:
4158:means 36, and
4132:
4122:
4100:
4073:
4062:
4039:
4024:
4000:
3977:
3950:
3949:
3947:
3946:
3939:
3932:
3924:
3921:
3920:
3919:
3918:
3908:
3902:
3893:
3892:
3886:
3885:
3884:
3883:
3873:
3866:
3853:
3852:
3848:
3847:
3846:
3845:
3835:
3825:
3812:
3811:
3805:
3804:
3787:Main article:
3784:
3781:
3736:5 is found in
3663:natural number
3658:
3655:
3625:
3599:
3598:
3565:
3532:Sunzi Suanjing
3513:
3510:
3474:Roman numerals
3416:Warring States
3407:
3404:
3387:
3321: 305 BCE
3309:
3306:
3284:
3283:
3263:
3255:
3254:
3248:
3232:
3231:
3225:
3217:
3216:
3210:
3202:
3201:
3195:
3182:
3181:
3132:Main article:
3129:
3126:
3104:
3096:
3079:
3068:
3046:
3027:
3016:
2998:
2993:
2990:
2987:
2983:
2977:
2973:
2969:
2966:
2963:
2947:
2940:
2934:
2927:
2921:
2903:
2873:
2862:
2840:
2833:
2827:
2820:
2805:
2800:
2797:
2794:
2790:
2784:
2780:
2776:
2762:
2745:
2744:
2736:
2729:
2723:
2716:
2693:
2689:
2685:
2682:
2677:
2674:
2671:
2667:
2663:
2660:
2634:
2609:
2602:
2601:
2587:
2584:
2581:
2578:
2574:
2570:
2565:
2562:
2558:
2554:
2549:
2545:
2541:
2537:
2531:
2528:
2525:
2520:
2517:
2514:
2509:
2504:
2499:
2496:
2493:
2487:
2468:
2459:
2455:
2454:
2447:
2438:
2431:
2425:
2418:
2412:
2400:
2392:
2381:
2373:
2365:
2344:
2322:Main article:
2319:
2316:
2211:
2208:
2207:
2206:
2195:
2192:
2187:
2183:
2179:
2174:
2170:
2166:
2163:
2160:
2155:
2151:
2147:
2142:
2138:
2134:
2131:
2128:
2123:
2119:
2115:
2110:
2106:
2102:
2099:
2096:
2091:
2087:
2083:
2078:
2074:
2070:
2067:
2064:
2059:
2055:
2051:
2046:
2042:
2038:
2035:
2032:
2027:
2023:
2019:
2014:
2010:
2006:
2003:
2000:
1995:
1991:
1987:
1982:
1978:
1974:
1971:
1968:
1963:
1959:
1955:
1950:
1946:
1942:
1939:
1936:
1931:
1927:
1923:
1918:
1914:
1910:
1907:
1886:if and only if
1739:
1736:
1733:
1730:
1727:
1724:
1721:
1718:
1715:
1679:
1678:
1676:
1675:
1668:
1661:
1653:
1650:
1649:
1643:
1642:
1639:
1638:
1633:
1628:
1623:
1618:
1613:
1608:
1603:
1602:
1601:
1596:
1591:
1581:
1576:
1570:
1569:
1562:
1561:
1556:
1551:
1546:
1541:
1536:
1531:
1526:
1521:
1516:
1511:
1506:
1500:
1499:
1498:Non-alphabetic
1495:
1489:
1488:
1487:
1484:
1483:
1478:
1477:
1474:
1473:
1468:
1455:
1439:
1434:
1421:
1408:
1394:
1393:
1386:
1385:
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:
9:
6:
4:
3:
2:
6089:
6078:
6075:
6073:
6070:
6068:
6065:
6064:
6062:
6047:
6039:
6038:
6035:
6028:
6027:
6023:
6020:
6019:
6015:
6013:
6011:
6010:Cosmic Voyage
6007:
6005:
6003:
6002:Powers of Ten
5999:
5996:
5995:
5991:
5988:
5987:
5983:
5980:
5979:
5975:
5973:
5970:
5968:
5965:
5964:
5962:
5958:
5952:
5949:
5947:
5944:
5942:
5939:
5935:
5932:
5930:
5927:
5925:
5922:
5921:
5920:
5916:
5913:
5911:
5910:Fermi problem
5908:
5906:
5903:
5901:
5898:
5897:
5895:
5891:
5885:
5882:
5880:
5877:
5875:
5872:
5870:
5867:
5865:
5862:
5860:
5857:
5855:
5852:
5850:
5847:
5845:
5842:
5840:
5837:
5835:
5832:
5830:
5827:
5825:
5822:
5820:
5817:
5815:
5812:
5810:
5807:
5805:
5802:
5800:
5797:
5795:
5792:
5790:
5787:
5785:
5782:
5780:
5777:
5775:
5772:
5770:
5766:
5763:
5761:
5758:
5756:
5753:
5751:
5748:
5746:
5743:
5741:
5738:
5736:
5733:
5731:
5728:
5726:
5723:
5721:
5718:
5717:
5715:
5711:
5707:
5700:
5695:
5693:
5688:
5686:
5681:
5680:
5677:
5667:on 2015-09-26
5666:
5662:
5658:
5654:
5650:
5646:
5642:
5638:
5634:
5630:
5623:
5612:
5608:
5604:
5597:
5590:
5582:
5578:
5574:
5570:
5563:
5549:on 2016-03-28
5545:
5541:
5539:90-429-1295-2
5535:
5528:
5527:
5519:
5505:on 2008-10-05
5504:
5500:
5499:
5491:
5484:
5483:
5476:
5465:
5461:
5457:
5450:
5443:
5432:
5425:
5424:
5416:
5414:
5406:
5405:0-292-75531-7
5402:
5398:
5394:
5388:
5380:
5376:
5372:
5370:1-58477-658-7
5366:
5362:
5355:
5347:
5340:
5332:
5328:
5325:(4): 487–95,
5324:
5320:
5313:
5305:
5301:
5297:
5294:(4): 293–99,
5293:
5289:
5282:
5274:
5270:
5266:
5265:Marcia Ascher
5260:
5249:
5245:
5241:
5237:
5233:
5229:
5225:
5218:
5211:
5203:
5199:
5195:
5191:
5184:
5176:
5172:
5166:
5159:
5154:
5153:
5145:
5137:
5133:
5127:
5120:
5115:
5107:
5101:
5097:
5090:
5088:
5079:
5075:
5071:
5070:Lay Yong, Lam
5065:
5059:
5058:3-540-33782-2
5055:
5049:
5041:
5040:
5035:
5029:
5022:
5018:
5013:
5011:
5009:
5001:
4996:
4989:
4988:0-14-009919-0
4985:
4981:
4975:
4968:
4967:3-525-40725-4
4964:
4960:
4956:
4951:
4936:
4932:
4926:
4924:
4915:
4909:
4905:
4904:
4896:
4889:
4888:0-14-009919-0
4885:
4881:
4875:
4868:
4864:
4858:
4851:
4850:0-14-009919-0
4847:
4843:
4837:
4830:
4824:
4816:
4812:
4808:
4804:
4800:
4796:
4792:
4788:
4784:
4780:
4773:
4767:
4766:2-228-89116-9
4763:
4759:
4753:
4746:
4744:0-02-906990-4
4740:
4736:
4729:
4722:
4721:0-7695-1894-X
4718:
4714:
4710:
4707:
4706:ARITH 16
4703:
4702:
4696:
4692:
4688:
4685:
4680:
4665:
4661:
4655:
4648:
4647:0-7695-1894-X
4644:
4640:
4636:
4632:
4627:
4619:
4617:0-471-76180-X
4613:
4609:
4604:
4603:
4597:
4591:
4583:
4581:0-89874-318-4
4577:
4573:
4569:
4563:
4556:
4552:
4546:
4531:
4527:
4526:
4521:
4515:
4500:
4496:
4492:
4485:
4478:
4474:
4468:
4460:
4454:
4450:
4443:
4441:
4412:
4406:
4390:
4386:
4382:
4375:
4373:
4356:
4352:
4346:
4342:
4338:
4334:
4330:
4329:
4321:
4313:
4305:
4301:
4300:
4294:
4287:
4283:
4268:
4262:
4258:
4247:
4246:Metric prefix
4244:
4242:
4239:
4237:
4234:
4232:
4229:
4227:
4224:
4221:
4218:
4216:
4213:
4211:
4208:
4206:
4203:
4201:
4198:
4196:
4193:
4191:
4188:
4186:
4183:
4180:
4177:
4175:
4172:
4171:
4161:
4157:
4153:
4149:
4145:
4141:
4137:
4136:Ndom language
4133:
4130:
4126:
4123:
4120:
4119:tokapu tokapu
4116:
4112:
4108:
4104:
4101:
4098:
4094:
4090:
4086:
4082:
4078:
4077:Huli language
4074:
4071:
4067:
4063:
4060:
4056:
4052:
4048:
4044:
4040:
4037:
4033:
4029:
4025:
4021:
4017:
4013:
4010:
4006:
4001:
3998:
3994:
3990:
3986:
3982:
3978:
3975:
3971:
3967:
3963:
3960:
3959:Pre-Columbian
3957:
3956:
3955:
3945:
3940:
3938:
3933:
3931:
3926:
3925:
3923:
3922:
3917:-dimensional)
3916:
3912:
3909:
3906:
3903:
3900:
3897:
3896:
3895:
3894:
3891:
3888:
3887:
3881:
3877:
3874:
3871:
3867:
3864:
3860:
3857:
3856:
3855:
3854:
3850:
3849:
3843:
3839:
3836:
3833:
3829:
3826:
3823:
3819:
3816:
3815:
3814:
3813:
3810:
3807:
3806:
3803:
3798:
3795:
3794:
3790:
3780:
3777:
3775:
3771:
3767:
3763:
3758:
3755:
3751:
3747:
3743:
3739:
3718:9 (thousand)
3711:
3710:two-ten-three
3707:
3678:
3675:
3670:
3668:
3664:
3654:
3652:
3648:
3646:
3642:
3641:
3636:
3629:
3624:
3622:
3618:
3614:
3609:
3606:
3602:
3595:
3590:
3585:
3580:
3575:
3570:
3566:
3559:
3558:
3557:
3555:
3554:
3549:
3545:
3538:
3534:
3533:
3528:
3518:
3501:
3497:
3495:
3489:
3487:
3483:
3482:Sand Reckoner
3479:
3475:
3471:
3467:
3463:
3459:
3455:
3444:
3440:
3436:
3425:
3417:
3412:
3403:
3401:
3385:
3375:
3373:
3369:
3365:
3359:
3355:
3353:
3349:
3345:
3341:
3337:
3333:
3326:
3314:
3305:
3264:
3261:
3257:
3256:
3249:
3246:
3242:
3238:
3234:
3233:
3226:
3223:
3219:
3218:
3211:
3208:
3204:
3203:
3196:
3193:
3189:
3188:
3185:
3156:
3155:
3154:
3152:
3148:
3144:
3140:
3139:Long division
3135:
3125:
3123:
3113:
3107:
3099:
3091:
3089:
3082:
3078:
3071:
3067:
3061:
3057:
3049:
3045:
3039:
3037:
3030:
3026:
3019:
3015:
2991:
2988:
2985:
2975:
2967:
2950:
2946:
2939:
2933:
2924:
2917:
2913:
2906:
2902:
2896:
2890:
2884:
2876:
2872:
2865:
2861:
2856:
2850:
2843:
2839:
2832:
2826:
2798:
2795:
2792:
2782:
2778:
2758:
2756:
2750:
2739:
2735:
2728:
2722:
2714:
2710:
2709:
2708:
2691:
2683:
2669:
2661:
2658:
2649:
2645:
2637:
2631:
2625:
2621:
2612:
2608:
2585:
2582:
2579:
2576:
2572:
2568:
2563:
2560:
2556:
2552:
2547:
2543:
2539:
2535:
2529:
2526:
2523:
2518:
2515:
2512:
2507:
2502:
2497:
2494:
2491:
2485:
2477:
2476:
2475:
2471:
2462:
2450:
2446:
2441:
2437:
2430:
2424:
2415:
2410:
2409:
2408:
2403:
2395:
2391:
2384:
2376:
2368:
2364:
2355:
2347:
2339:
2331:
2325:
2315:
2313:
2304:
2299:
2296:with a known
2295:
2291:
2286:
2282:
2278:
2271:
2267:
2263:
2258:
2253:with at most
2251:
2245:
2231:
2229:
2225:
2217:
2193:
2190:
2185:
2181:
2177:
2172:
2168:
2164:
2161:
2158:
2153:
2149:
2145:
2140:
2136:
2132:
2129:
2126:
2121:
2117:
2113:
2108:
2104:
2100:
2097:
2094:
2089:
2085:
2081:
2076:
2072:
2068:
2065:
2062:
2057:
2053:
2049:
2044:
2040:
2036:
2033:
2030:
2025:
2021:
2017:
2012:
2008:
2004:
2001:
1998:
1993:
1989:
1985:
1980:
1976:
1972:
1969:
1966:
1961:
1957:
1953:
1948:
1944:
1940:
1937:
1934:
1929:
1925:
1921:
1916:
1912:
1908:
1905:
1898:
1897:
1896:
1894:
1891:Expressed as
1889:
1887:
1882:
1876:
1871:
1865:
1737:
1734:
1731:
1728:
1725:
1722:
1719:
1716:
1713:
1705:
1701:
1697:
1693:
1689:
1685:
1674:
1669:
1667:
1662:
1660:
1655:
1654:
1652:
1651:
1648:
1645:
1644:
1637:
1634:
1632:
1629:
1627:
1624:
1622:
1619:
1617:
1614:
1612:
1609:
1607:
1604:
1600:
1597:
1595:
1592:
1590:
1587:
1586:
1585:
1584:Alphasyllabic
1582:
1580:
1577:
1575:
1572:
1571:
1568:
1565:
1564:
1560:
1557:
1555:
1552:
1550:
1547:
1545:
1542:
1540:
1537:
1535:
1532:
1530:
1527:
1525:
1522:
1520:
1517:
1515:
1512:
1510:
1507:
1505:
1502:
1501:
1497:
1496:
1492:
1486:
1485:
1472:
1469:
1466:
1459:
1456:
1453:
1452:
1443:
1440:
1438:
1435:
1432:
1425:
1422:
1419:
1412:
1409:
1406:
1399:
1396:
1395:
1392:
1389:
1388:
1383:
1379:
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:
990:
989:
985:
981:
980:
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:
327:
325:
321:
317:
316:
311:
307:
303:
299:
295:
291:
287:
283:
278:
269:
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:
6024:
6016:
6009:
6001:
5992:
5984:
5976:
5923:
5915:Powers of 10
5767: /
5720:Acceleration
5665:the original
5639:(1): 47–71,
5636:
5632:
5622:
5611:the original
5606:
5602:
5589:
5581:the original
5576:
5572:
5562:
5551:. Retrieved
5544:the original
5526:La Pluralité
5525:
5518:
5507:. Retrieved
5503:the original
5497:
5490:
5481:
5479:Dawson, J. "
5475:
5464:the original
5459:
5455:
5442:
5431:the original
5422:
5396:
5387:
5360:
5354:
5345:
5339:
5322:
5318:
5312:
5303:
5291:
5287:
5281:
5259:
5230:(1): 41–60.
5227:
5223:
5210:
5202:the original
5197:
5193:
5183:
5174:
5165:
5156:
5150:
5144:
5135:
5126:
5114:
5095:
5077:
5073:
5064:
5048:
5038:
5028:
5020:
5017:Lam Lay Yong
5000:Lam Lay Yong
4995:
4979:
4974:
4958:
4950:
4939:. Retrieved
4902:
4895:
4879:
4874:
4869:, p. 50
4857:
4841:
4836:
4828:
4823:
4782:
4778:
4772:
4757:
4752:
4734:
4728:
4699:Proceedings
4698:
4679:
4668:. Retrieved
4654:
4630:
4626:
4601:
4590:
4571:
4562:
4554:
4545:
4534:. Retrieved
4523:
4514:
4503:. Retrieved
4494:
4484:
4467:
4448:
4405:
4393:. Retrieved
4384:
4359:. Retrieved
4341:10.1142/5425
4327:
4320:
4297:
4286:
4261:
4195:Decimal time
4159:
4155:
4151:
4147:
4118:
4114:
4110:
4096:
4092:
4088:
4005:long hundred
3983:language in
3962:Mesoamerican
3953:
3914:
3879:
3851:Data storage
3841:
3778:
3773:
3770:ten with one
3769:
3759:
3724:3 (hundred)
3709:
3705:
3679:
3671:
3660:
3649:
3644:
3638:
3635:Simon Stevin
3632:
3610:
3605:Al-Khwarizmi
3603:
3600:
3551:
3530:
3523:
3494:rod calculus
3490:
3434:
3421:
3376:
3360:
3356:
3330:Most modern
3329:
3287:
3259:
3244:
3243:, i.e. 9,990
3240:
3236:
3221:
3206:
3191:
3183:
3150:
3137:
3119:
3111:
3105:
3097:
3092:
3080:
3076:
3069:
3065:
3059:
3055:
3047:
3043:
3040:
3028:
3024:
3017:
3013:
2948:
2944:
2937:
2931:
2922:
2915:
2911:
2904:
2900:
2897:
2886:
2880:
2874:
2870:
2863:
2859:
2852:
2848:
2841:
2837:
2830:
2824:
2759:
2752:
2748:
2746:
2737:
2733:
2726:
2720:
2712:
2641:
2635:
2627:
2617:
2610:
2606:
2603:
2469:
2460:
2456:
2448:
2444:
2439:
2435:
2428:
2422:
2413:
2401:
2393:
2389:
2382:
2374:
2366:
2362:
2351:
2345:
2337:
2327:
2302:
2287:
2280:
2276:
2269:
2265:
2261:
2254:
2249:
2243:
2232:
2216:real numbers
2213:
1890:
1883:
1869:
1866:
1687:
1683:
1682:
1450:
1411: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:
5997:(1968 film)
5994:Cosmic Zoom
5989:(1964 film)
5981:(1957 book)
5978:Cosmic View
5864:Temperature
5839:Probability
5789:Illuminance
4152:mer an thef
4146:numerals.
4115:tokapu talu
3802:information
3783:Other bases
3651:John Napier
3548:Qin Jiushao
3537:Zu Chongzhi
3352:hexadecimal
3323:) from the
3205:then 10,000
2474:amounts to
2330:real number
2298:upper bound
2290:measurement
2228:engineering
1700:denominator
1589:Akṣarapallī
1559:Tally marks
1458:Non-integer
342:, and, for
284:, then the
224:real number
209:approximate
167:. That is,
6061:Categories
6026:Cosmic Eye
5553:2014-09-12
5509:2011-05-29
4941:2019-07-21
4670:2008-08-15
4536:2013-06-18
4505:2020-08-22
4449:Arithmetic
4314:required.)
4278:References
4226:Duodecimal
4113:means 24,
4091:means 15,
4087:numbers.
4070:duodecimal
4051:Nunggubuyu
3985:California
3772:and 23 as
3742:Vietnamese
3708:and 23 as
3640:De Thiende
3478:Archimedes
3462:Mycenaeans
1626:Glagolitic
1599:Kaṭapayādi
1567:Alphabetic
1471:Asymmetric
1313:radix/base
1254:Cistercian
1239:Babylonian
1186:Vietnamese
1041:Devanagari
941:truncation
348:minus sign
5934:1000000th
5844:Radiation
5799:Luminance
5784:Frequency
5745:Computing
5661:161535519
5119:Gandz, S.
5080:: 101–08.
4697:, M. F.,
4695:Cowlishaw
4570:(1983) .
4491:"Decimal"
4395:March 17,
4361:March 17,
4150:means 6,
4109:numbers.
4103:Umbu-Ungu
4097:ngui ngui
4066:Nigerians
3907:(ternary)
3740:, and in
3730:4 (tens)
3698:, 10,000
3452:) of the
3354:systems.
3235:so 10,000
3176:012345679
2997:∞
2804:∞
2676:∞
2673:→
2646:tends to
2577:−
2561:−
2553:⋅
2527:−
2508:−
2194:…
2178:⋅
2146:⋅
2114:⋅
2082:⋅
2050:⋅
2018:⋅
1986:⋅
1954:⋅
1922:⋅
1875:separator
1594:Āryabhaṭa
1539:Kharosthi
1431:factorial
1398: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
6046:Category
5893:See also
5834:Pressure
5819:Molarity
5735:Bit rate
5713:Quantity
5379:76960942
5331:27709904
5248:Archived
5244:20412558
5134:(1985).
4935:Archived
4807:16598247
4709:Archived
4687:Archived
4664:Archived
4598:(1974).
4530:Archived
4499:Archived
4413:in 5.123
4389:Archived
4355:Archived
4293:"denary"
4267:accuracy
4174:Algorism
4167:See also
4160:nif thef
4059:Saraveca
4012:Archived
3901:(binary)
3746:Japanese
3645:La Disme
3550:'s book
3458:Linear B
3456:and the
3445:script (
3443:Linear A
3332:computer
3088:0.999...
3036:0.999...
2648:infinity
1696:fraction
1621:Georgian
1611:Cyrillic
1579:Armenian
1534:Etruscan
1529:Egyptian
1437: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
5960:Related
5919:decades
5879:Voltage
5824:Numbers
5774:Entropy
5760:Density
5750:Current
5641:Bibcode
5273:2686959
5158:period.
4815:6787162
4787:Bibcode
4335:. 268.
4129:base-32
4107:base-24
4093:ngui ki
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3762:Quechua
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3692:, 1000
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1726:0.00079
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1232:Ancient
1224:History
1171:Hokkien
1159:Chinese
1104:Burmese
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1081:Kannada
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124:decimal
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