3302:
3617:
3400:
3138:, 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
6031:
2299:. 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
257:
3489:
27:
3563:
3506:
3583:
3573:
3568:
2193:
4012:
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'.
3346:
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
3480:
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
3366:
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
3991:
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.
4011:
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
3578:
912:
3558:
1890:
3513:
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
3082:
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
2587:
3665:
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").
293:. 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
4258:
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
3350:
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
3745:
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".
729:
721:
560:
5146:
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
3596:
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.
268:
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
2188:{\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 }
2694:
5140:
1737:
3642:
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.
458:
4007:
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.
2805:
2998:
3173:
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.
4766:
Coppa, A.; et al. (2006). "Early
Neolithic tradition of dentistry: Flint tips were surprisingly effective for drilling tooth enamel in a prehistoric population".
2469:
3385:
586:
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,
932:). 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
5110:: 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.
1835:, 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
4000:
3996:" = 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
207:
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
1884:, 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
3335:, used decimal representation internally). For external use by computer specialists, this binary representation is sometimes presented in the related
5437:
3930:
3545:(1247) explicitly writes a decimal fraction representing a number rather than a measurement, using counting rods. The number 0.96644 is denoted
3411:
Many ancient cultures calculated with numerals based on ten, perhaps because two human hands have ten fingers. Standardized weights used in the
4923:
907:{\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}}}}
5685:
5842:
5236:
956:
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
5485:
4518:
3590:
Historians of
Chinese science have speculated that the idea of decimal fractions may have been transmitted from China to the Middle East.
3367:
integer multiples of the smallest currency unit for book keeping purposes. This is not possible in binary, because the negative powers of
602:—it may be removed; conversely, trailing zeros may be added after the decimal mark without changing the represented number; for example,
5733:
4343:
4689:
4627:
5807:
3481:
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
1659:
634:
473:
5584:
5893:
5513:
5512:
Mazaudon, Martine (2002). "Les principes de construction du nombre dans les langues tibéto-birmanes". In François, Jacques (ed.).
953:). In normal writing, this is generally avoided, because of the risk of confusion between the decimal mark and other punctuation.
223:). In this context, the usual decimals, with a finite number of non-zero digits after the decimal separator, are sometimes called
5757:
1379:
4675:
5713:
4008:
3541:
3422:) 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
5410:
5792:
5092:
4900:
4855:
4445:
4377:
4337:
2207:. Nevertheless, they allow approximating every real number with any desired accuracy, e.g., the decimal 3.14159 approximates
5617:
5557:
5350:
The Exchequer in the twelfth century : the Ford lectures delivered in the University of Oxford in Michaelmas term, 1911
5797:
5178:
3923:
6065:
5031:. Vol. III, "Mathematics and the Sciences of the Heavens and the Earth". Cambridge University Press. pp. 82–90.
4652:
4584:
4556:
119:), refers generally to the notation of a number in the decimal numeral system. Decimals may sometimes be identified by a
4487:
2642:
5708:
1212:
5852:
5827:
5777:
5678:
5526:
5418:. Empirical Approaches to Language Typology. Vol. 45. Berlin: Mouton de Gruyter (published 2010). Archived from
5393:
5357:
5046:
5026:
4976:
4955:
4876:
4838:
4754:
4731:
4709:
4635:
4604:
4568:
1698:
5471:
Australian Aborigines: The Languages and Customs of Several Tribes of Aborigines in the Western District of Victoria
5293:
Some of the Germanic languages appear to show traces of an ancient blending of the decimal with the vigesimal system
6060:
5888:
3768:
Some psychologists suggest irregularities of the English names of numerals may hinder children's counting ability.
3387:
have no finite binary fractional representation; and is generally impossible for multiplication (or division). See
5832:
5787:
5772:
5120:
3988:-8) systems because the speakers count using the spaces between their fingers rather than the fingers themselves.
3916:
3608:
used decimal fractions around 1350 but did not develop any notation to represent them. The Persian mathematician
1003:
294:
97:
6055:
5822:
5723:
5384:
number words up to 32 written down by a Spanish priest ca. 1819. "Chumashan Numerals" by Madison S. Beeler, in
3457:
in central Europe (2300-1600 BC) used standardised weights and a decimal system in trade. The number system of
3388:
1446:
5409:
Hammarström, Harald (17 May 2007). "Rarities in Numeral Systems". In Wohlgemuth, Jan; Cysouw, Michael (eds.).
3997:
3403:
The world's earliest decimal multiplication table was made from bamboo slips, dating from 305 BCE, during the
407:
5867:
5812:
5762:
5748:
5738:
3654:
using a set of ten symbols emerged in India. Several Indian languages show a straightforward decimal system.
1652:
1227:
4697:
575:, that is, if the first sequence contains at least two digits, it is generally assumed that the first digit
6034:
5955:
5872:
5857:
5782:
5753:
5728:
5671:
5452:
4943:
2758:
1572:
5837:
2945:
5847:
5817:
5767:
4513:
1399:
197:
3355:, especially in database implementations, but there are other decimal representations in use (including
1582:
402:
either a (finite) sequence of digits (such as "2017"), where the entire sequence represents an integer:
5862:
5802:
5743:
5718:
3601:
1459:
233:
is an infinite decimal that, after some place, repeats indefinitely the same sequence of digits (e.g.,
5144:. Translated by Macdonald, William Rae. Edinburgh: Blackwood & Sons – via Internet Archive.
4889:
Krause, Harald; Kutscher, Sabrina (2017). "Spangenbarrenhort Oberding: Zusammenfassung und Ausblick".
6006:
5997:
4287:
4193:
4043:
4020:
3412:
1555:
1324:
957:
248:
of two integers, if and only if it is a repeating decimal or has a finite number of non-zero digits.
45:
5159:
4919:
5256:. "Ethnomathematics: A Multicultural View of Mathematical Ideas". The College Mathematics Journal.
1645:
972:
147:". Zero-digits after a decimal separator serve the purpose of signifying the precision of a value.
20:
2295:
digits after the decimal mark, as soon as the absolute measurement error is bounded from above by
4292:
2282:
1635:
1419:
1016:
4816:
Bisht, R. S. (1982), "Excavations at Banawali: 1974–77", in Possehl, Gregory L. (ed.), Harappan
4508:
4023:
counting system, in which the names for numbers were structured according to multiples of 4 and
1280:
5974:
5491:
4255:
4208:
4188:
4173:
3858:
3356:
2312:
1881:
1684:
1319:
1235:
220:
216:
200:
real numbers. By increasing the number of digits after the decimal separator, one can make the
157:
4050:. Of these, Gumatj is the only true 5–25 language known, in which 25 is the higher group of 5.
3529:
4300:
3324:
3313:
1437:
5381:
5205:
4061:
systems. So did some small communities in India and Nepal, as indicated by their languages.
3515:
2582:{\displaystyle \left\vert \left_{n}-\left_{n-1}\right\vert =d_{n}\cdot 10^{-n}<10^{-n+1}}
5989:
5629:
4775:
4596:
4440:. Cambridge, Massachusetts London, England: The Belknap Press of Harvard University Press.
4167:
3790:
3600:
Positional decimal fractions appear for the first time in a book by the Arab mathematician
3454:
3427:
3352:
1532:
1393:
1386:
1267:
928:
of a decimal numeral is the integer written to the left of the decimal separator (see also
180:
8:
5599:
4224:
4039:
4016:
3878:
3785:
3777:
3730:
3655:
3632:("the art of tenths") was first published in Dutch in 1585 and translated into French as
3442:
2612:
2300:
1614:
1604:
1479:
1430:
1242:
1174:
1029:
990:
395:
201:
5633:
5532:
5469:
5206:"The typology of Pame number systems and the limits of Mesoamerica as a linguistic area"
5083:
Berggren, J. Lennart (2007). "Mathematics in Medieval Islam". In Katz, Victor J. (ed.).
4779:
3370:
1069:
5907:
5694:
5645:
5315:
5288:
5257:
5228:
4799:
4589:
4091:
3797:
3750:
3662:
1527:
1117:
1112:
1059:
2339:
denote the (finite) decimal expansion of the greatest number that is not greater than
1064:
5960:
5939:
5934:
5649:
5522:
5389:
5363:
5353:
5088:
5042:
4972:
4951:
4896:
4872:
4851:
4834:
4791:
4750:
4727:
4705:
4672:
4631:
4600:
4564:
4441:
4399:
4333:
4198:
3820:
3734:
3470:
3122:
1863:
1609:
1599:
1587:
1567:
1522:
1517:
1453:
1285:
1257:
1164:
1097:
1087:
1074:
1039:
1034:
590:. Similarly, if the final digit on the right of the decimal mark is zero—that is, if
380:
270:
229:
120:
5232:
4850:
Graham Flegg: Numbers: their history and meaning, Courier Dover Publications, 2002,
3000:
is the decimal fraction obtained by replacing the last digit that is not a 9, i.e.:
1502:
5637:
5419:
5284:
5220:
4803:
4783:
4325:
4321:
4178:
4128:
4069:
3726:
3609:
3605:
3458:
3450:
3091:, and the other containing only 9s after some place, which is obtained by defining
1512:
1406:
1159:
1147:
1092:
1082:
1049:
1024:
290:
135:
may also refer specifically to the digits after the decimal separator, such as in "
54:
5618:"The Work of Glendon Lean on the Counting Systems of Papua New Guinea and Oceania"
5306:
Voyles, Joseph (October 1987), "The cardinal numerals in pre-and proto-Germanic",
4369:
4281:
5653:
5569:
4701:
4679:
4539:
4035:
4004:
3754:
3738:
3658:
have numbers between 10 and 20 expressed in a regular pattern of addition to 10.
3131:
1680:
1624:
1594:
1537:
1507:
1492:
1252:
1220:
1192:
1169:
1152:
1011:
934:
614:
332:
282:
274:
241:
185:
5190:
4563:(1 (reprint) ed.). Malabar, Florida: Robert E. Krieger Publishing Company.
1107:
5022:
4623:
4229:
4203:
4113:
3864:
3826:
3806:
3651:
3520:
3462:
3404:
3301:
1874:
1692:
1619:
1562:
1542:
1497:
1370:
1102:
1054:
980:
286:
278:
265:
38:
4648:
3612:
used, and claimed to have discovered, decimal fractions in the 15th century.
3430:, in evidence since around 3000 BCE, used a purely decimal system, as did the
301:. This system has been extended to represent some non-integer numbers, called
6049:
5929:
5898:
5253:
5107:
4479:
4234:
4124:
4065:
3954:
3947:
3851:
3810:
3742:
3127:
3052:, may be converted to its equivalent infinite decimal expansion by replacing
1425:
1314:
1247:
1187:
1122:
1044:
324:
5367:
5224:
5085:
The Mathematics of Egypt, Mesopotamia, China, India, and Islam: A Sourcebook
204:
as small as one wants, when one has a method for computing the new digits.
100:. The way of denoting numbers in the decimal system is often referred to as
5058:
5005:
4988:
4795:
4183:
4073:
3993:
3757:
have an almost straightforward decimal system, in which 11 is expressed as
3623:
3593:
3482:
1577:
920:
328:
3616:
5982:
5966:
5903:
4024:
3950:
3639:
3536:
3525:
3399:
3340:
2318:
2286:
2278:
2216:
2204:
1688:
1547:
1412:
1364:
1354:
464:
or a decimal mark separating two sequences of digits (such as "20.70828")
212:
5487:
Decimal vs. Duodecimal: An interaction between two systems of numeration
5319:
5041:
Jean-Claude Martzloff, A History of Chinese Mathematics, Springer 1997
5008:, "The Development of Hindu–Arabic and Traditional Chinese Arithmetic",
941:
When the integral part of a numeral is zero, it may occur, typically in
938:, which equals the difference between the numeral and its integer part.
256:
6014:
5641:
5261:
5025:(1959). "19.2 Decimals, Metrology, and the Handling of Large Numbers".
4726:(4th ed.), The Free Press (Macmillan Publishing Co.), p. 12,
4214:
4058:
3973:
3969:
3816:
3628:
3466:
1349:
929:
336:
5663:
4538:"Fingers or Fists? (The Choice of Decimal or Binary Representation)",
3562:
183:. Decimal fractions also result from the addition of an integer and a
5922:
5917:
5275:
McClean, R. J. (July 1958), "Observations on the Germanic numerals",
4683:
3958:
3669:
A straightforward decimal rank system with a word for each order (10
3461:
also used powers of ten, including an intermediate base of 5, as did
1870:, whose numerator is the integer obtained by removing the separator.
1359:
942:
5333:
Stevenson, W.H. (1890). "The Long Hundred and its uses in England".
5061:. "A Chinese Genesis, Rewriting the history of our numeral system".
4890:
4787:
2289:, the result of a measurement is well-represented by a decimal with
4162:
4047:
3622:
A forerunner of modern European decimal notation was introduced by
3474:
3446:
3431:
3360:
3320:
3076:
3024:
2636:
245:
4315:
3582:
3577:
3572:
3567:
3305:
Diagram of the world's earliest known multiplication table (
150:
The numbers that may be represented in the decimal system are the
4694:
4329:
4117:
4095:
4054:
4031:
3557:
3477:
hieroglyphs (since 15th century BCE) were also strictly decimal.
3332:
2212:
1329:
298:
85:
5490:. 2nd Meeting of the AFLANG, October 1998, Tokyo. Archived from
1679:, especially in contexts involving explicit fractions) are the
260:
Ten digits on two hands, the possible origin of decimal counting
26:
4461:
4132:
3977:
3893:
3505:
3488:
1334:
716:{\displaystyle a_{m}a_{m-1}\ldots a_{0}.b_{1}b_{2}\ldots b_{n}}
555:{\displaystyle a_{m}a_{m-1}\ldots a_{0}.b_{1}b_{2}\ldots b_{n}}
89:
2203:
Decimal numerals do not allow an exact representation for all
69:
63:
4465:
4406:
indicates that the '144' sequence repeats indefinitely, i.e.
4219:
3985:
3981:
3899:
3887:
3469:(c. 287–212 BCE) invented a decimal positional system in his
3336:
3328:
1339:
1301:
1262:
5412:
Rethinking Universals: How rarities affect linguistic theory
1866:(a point or comma) represents the fraction with denominator
387:" in many countries (mostly English-speaking), and a comma "
72:
3992:
Where this counting system is known, it is based on the "
3962:
3847:
3169:
012... (with the group 012345679 indefinitely repeating).
2211:, being less than 10 off; so decimals are widely used in
4254:
Sometimes, the extra zeros are used for indicating the
3327:
internally (although many early computers, such as the
4820:, New Delhi: Oxford and IBH Publishing Co., pp. 113–24
3961:
system (perhaps based on using all twenty fingers and
3943:
Some cultures do, or did, use other bases of numbers.
3604:
written in the 10th century. The Jewish mathematician
2948:
2761:
2645:
2198:
5141:
The Construction of the Wonderful Canon of Logarithms
5119:
3373:
3130:
allows computing the infinite decimal expansion of a
2472:
1893:
1701:
945:, that the integer part is not written (for example,
732:
637:
476:
410:
376:
372:
368:
364:
360:
356:
352:
348:
344:
340:
66:
5347:
5125:
A History of Algebra. From Khwarizmi to Emmy Noether
2611:
tends to infinity. According to the definition of a
60:
5404:
5402:
4948:
Zahlwort und Ziffer. Eine Kulturgeschichte der Zahl
2689:{\textstyle \;x=\lim _{n\rightarrow \infty }_{n}\;}
57:
5438:"Facts and fallacies of aboriginal number systems"
5179:"English words may hinder math skills development"
4588:
4280:
3626:in the 16th century. Stevin's influential booklet
3379:
3277:or, dividing both numerator and denominator by 6,
2992:
2799:
2688:
2581:
2187:
1731:
906:
715:
554:
452:
4914:
4912:
4546:, Vol. 2 #12, pp. 3–11, ACM Press, December 1959.
2277:Numbers are very often obtained as the result of
323:For writing numbers, the decimal system uses ten
6047:
5399:
4969:From One to Zero. A Universal History of Numbers
4869:From One to Zero. A Universal History of Numbers
4831:From One to Zero. A Universal History of Numbers
4279:
2654:
3701:, and 89,345 is expressed as 8 (ten thousands)
3500:
3361:IEEE 754 Standard for Floating-Point Arithmetic
1873:It follows that a number is a decimal fraction
1732:{\displaystyle 0.8,14.89,0.00079,1.618,3.14159}
5436:Harris, John (1982). Hargrave, Susanne (ed.).
5131:
5021:
4909:
4888:
4673:Decimal Floating-Point: Algorism for Computers
4620:Decimal Floating-Point: Algorism for Computers
3492:The world's earliest positional decimal system
92:. It is the extension to non-integer numbers (
5679:
5308:The Journal of English and Germanic Philology
4979:, pp. 218f. (The Hittite hieroglyphic system)
4712:, pp. 104–11, IEEE Comp. Soc., June 2003
3924:
3720:
3714:
3708:
3702:
3688:
3682:
3676:
3670:
3549:
3323:hardware and software systems commonly use a
3023:, and replacing all subsequent 9s by 0s (see
2306:
1695:of ten. For example, the decimal expressions
1653:
4950:, Vandenhoeck und Ruprecht, 3rd. ed., 1979,
4094:, also known as Kakoli, is reported to have
5408:
5087:. Princeton University Press. p. 530.
5078:
5076:
4577:
4549:
3075:and replacing all subsequent 0s by 9s (see
219:of digits after the decimal separator (see
5686:
5672:
5582:
5483:
5183:American Psychological Association Monitor
4690:16th IEEE Symposium on Computer Arithmetic
4628:16th IEEE Symposium on Computer Arithmetic
4314:Yong, Lam Lay; Se, Ang Tian (April 2004).
3931:
3917:
3581:
3576:
3571:
3566:
3561:
3556:
3217:
3187:
2949:
2846:. This expansion is unique if neither all
2762:
2685:
2646:
1660:
1646:
189:; the resulting sum sometimes is called a
5332:
5252:
5015:
4367:
3518:, as described in the 3rd–5th century CE
3347:unable to encode that number precisely.)
5555:
5511:
5082:
5073:
4991:et al. The Fleeting Footsteps pp. 137–39
4818:Civilisation: A Contemporary Perspective
4435:
3516:performed using positional counting rods
3504:
3487:
3398:
3300:
2248:digits after the decimal mark such that
1877:it has a finite decimal representation.
453:{\displaystyle a_{m}a_{m-1}\ldots a_{0}}
255:
25:
5693:
5274:
5203:
4721:
30:Place value of number in decimal system
6048:
5622:Mathematics Education Research Journal
5435:
5305:
5137:
5001:
4999:
4997:
4595:(1st ed.). Binghamton, New York:
4583:
4555:
4313:
3650:A method of expressing every possible
3542:Mathematical Treatise in Nine Sections
3296:
2800:{\textstyle \;(d_{n})_{n=1}^{\infty }}
2222:More precisely, for every real number
303:
151:
84:) is the standard system for denoting
5667:
5615:
5562:Papua New Guinea Journal of Education
5388:, edited by Michael P. Closs (1986),
5063:Archive for History of Exact Sciences
4841:, pp. 200–13 (Egyptian Numerals)
4765:
4477:
4368:Weisstein, Eric W. (March 10, 2022).
3135:
2993:{\textstyle \;(_{n})_{n=1}^{\infty }}
5585:"Kaugel Valley systems of reckoning"
5583:Bowers, Nancy; Lepi, Pundia (1975).
5521:. Leuven: Peeters. pp. 91–119.
5176:
5057:
4431:
4429:
4363:
4361:
4301:participating institution membership
3645:
3426:– was divided into ten equal parts.
2368:. It is straightforward to see that
963:
240:). An infinite decimal represents a
5113:
4994:
4895:. Museum Erding. pp. 238–243.
4749:(in French), Paris: Payot, p. 113,
4638:, pp. 104–11, IEEE Comp. Soc., 2003
4380:from the original on March 21, 2022
3693:), and in which 11 is expressed as
3524:. The 5th century CE mathematician
3116:
2349:digits after the decimal mark. Let
2199:Approximation using decimal numbers
318:
13:
5289:10.1111/j.1468-0483.1958.tb00018.x
4346:from the original on April 1, 2023
3359:such as in newer revisions of the
2985:
2792:
2664:
14:
6077:
5592:Journal of the Polynesian Society
5028:Science and Civilisation in China
5012:, 1996 p. 38, Kurt Vogel notation
4426:
4358:
4120:number system with base-4 cycles.
3509:counting rod decimal fraction 1/7
3449:script (c. 1400–1200 BCE) of the
3030:Any such decimal fraction, i.e.:
2880:greater than some natural number
2281:. As measurements are subject to
6030:
6029:
5961:Earth's location in the Universe
5889:Back-of-the-envelope calculation
5242:from the original on 2006-07-12.
4724:Number / The Language of Science
3615:
617:, a minus sign is placed before
398:, a decimal numeral consists of
53:
16:Number in base-10 numeral system
5894:Best-selling electronic devices
5609:
5576:
5549:
5505:
5477:
5462:
5445:Work Papers of SIL-AAB Series B
5429:
5374:
5352:. Clark, NJ: Lawbook Exchange.
5341:
5326:
5299:
5268:
5246:
5197:
5170:
5152:
5101:
5051:
5035:
4982:
4961:
4937:
4926:from the original on 2019-07-21
4882:
4861:
4844:
4823:
4810:
4759:
4739:
4715:
4666:
4655:from the original on 2009-04-29
4641:
4613:
4532:
4521:from the original on 2013-12-11
4490:from the original on 2020-03-18
3113:digits after the decimal mark.
3099:as the greatest number that is
2605:, or gets arbitrarily small as
1856:More generally, a decimal with
1853:, 3 not being a power of 10.
4879:, pp. 213–18 (Cretan numerals)
4501:
4471:
4454:
4392:
4307:
4273:
4248:
3771:
3389:Arbitrary-precision arithmetic
3134:. If the rational number is a
2970:
2960:
2953:
2950:
2777:
2763:
2676:
2669:
2661:
196:Decimals are commonly used to
1:
5558:"Counting and Number in Huli"
5380:There is a surviving list of
5348:Poole, Reginald Lane (2006).
4266:
3435:
3416:
3306:
2376:may be obtained by appending
5956:Astronomical system of units
3976:and the Pamean languages in
3733:with a few irregularities.
3501:History of decimal fractions
2749:Conversely, for any integer
339:"−". The decimal digits are
235:5.123144144144144... = 5.123
7:
5598:(3): 309–24. Archived from
5386:Native American Mathematics
5204:Avelino, Heriberto (2006).
4514:Encyclopedia of Mathematics
4460:In some countries, such as
4155:
2942:, the limit of the sequence
2226:and every positive integer
1683:that may be expressed as a
295:Hindu–Arabic numeral system
98:Hindu–Arabic numeral system
10:
6082:
6066:Positional numeral systems
5484:Matsushita, Shuji (1998).
5164:Ancient Indian mathematics
5127:. Berlin: Springer-Verlag.
4892:Spangenbarrenhort Oberding
4649:"Decimal Arithmetic – FAQ"
4034:number systems, including
3775:
3394:
3120:
2838:infinite decimal expansion
2807:the (infinite) expression
2755:and any sequence of digits
2738:infinite decimal expansion
2310:
2307:Infinite decimal expansion
1380:Non-standard radices/bases
123:(usually "." or "," as in
18:
6025:
6007:The Scale of the Universe
5948:
5881:
5701:
4745:Sergent, Bernard (1997),
4544:Communications of the ACM
4288:Oxford English Dictionary
4194:Decimal section numbering
3998:Introduction to Old Norse
3721:
3715:
3709:
3703:
3689:
3683:
3677:
3671:
3550:
3496:Lower row horizontal form
3413:Indus Valley Civilisation
2360:denote the last digit of
2230:, there are two decimals
958:positional numeral system
251:
46:positional numeral system
5556:Cheetham, Brian (1978).
5451:: 153–81. Archived from
5337:. December 1889: 313–22.
4722:Dantzig, Tobias (1954),
4241:
3749:Incan languages such as
3465:. Notably, the polymath
3391:for exact calculations.
1739:represent the fractions
139:is the approximation of
21:Decimal (disambiguation)
6061:Fractions (mathematics)
5568:: 16–35. Archived from
5474:(1881), p. xcviii.
5277:German Life and Letters
5225:10.1515/LINGTY.2006.002
4971:, Penguin Books, 1988,
4871:, Penguin Books, 1988,
4833:, Penguin Books, 1988,
4468:are used for the digits
4436:Lockhart, Paul (2017).
4293:Oxford University Press
4106:means 24 × 2 = 48, and
4084:means 15 × 2 = 30, and
3602:Abu'l-Hasan al-Uqlidisi
3494:Upper row vertical form
3473:which was based on 10.
2857:are equal to 9 nor all
2283:measurement uncertainty
1882:fully reduced fractions
1636:List of numeral systems
5975:To the Moon and Beyond
5843:Specific heat capacity
5138:Napier, John (1889) .
4464:-speaking ones, other
4209:Densely packed decimal
4189:Decimal representation
4174:Decimal classification
4116:is reported to have a
3510:
3497:
3408:
3381:
3357:decimal floating point
3316:
2994:
2874:large enough (for all
2801:
2690:
2593:which is either 0, if
2583:
2446:and the difference of
2313:Decimal representation
2189:
1733:
908:
723:represents the number
717:
556:
454:
391:" in other countries.
313:decimal numeral system
261:
221:decimal representation
31:
6056:Elementary arithmetic
5993:(1968 and 1977 films)
5335:Archaeological Review
5121:B. L. van der Waerden
4597:John Wiley & Sons
4484:mathworld.wolfram.com
3953:cultures such as the
3798:Information-theoretic
3528:calculated a 7-digit
3508:
3491:
3402:
3382:
3325:binary representation
3314:Warring States period
3304:
3255:
3240:
3202:
2995:
2802:
2691:
2584:
2190:
1734:
1004:Hindu–Arabic numerals
909:
718:
588:3.14 = 03.14 = 003.14
557:
455:
259:
211:for representing any
29:
4259:10 centimetres.
4168:Binary-coded decimal
4131:is reported to have
4110:means 24 × 24 = 576.
4088:means 15 × 15 = 225.
4072:is reported to have
3439: 1800–1450 BCE
3428:Egyptian hieroglyphs
3420: 3300–1300 BCE
3371:
3353:binary-coded decimal
2946:
2759:
2643:
2639:. This is written as
2470:
1891:
1699:
1533:Prehistoric counting
1309:Common radices/bases
991:Place-value notation
730:
635:
474:
408:
225:terminating decimals
202:approximation errors
181:non-negative integer
115:or, less correctly,
19:For other uses, see
5695:Orders of magnitude
5634:2001MEdRJ..13...47O
5616:Owens, Kay (2001),
5213:Linguistic Typology
5189:(4). Archived from
5177:Azar, Beth (1999).
4780:2006Natur.440..755C
4591:Decimal Computation
4561:Decimal Computation
4478:Weisstein, Eric W.
4400:vinculum (overline)
4291:(Online ed.).
4225:Scientific notation
4030:Many languages use
4017:Chumashan languages
4015:Many or all of the
3879:Quantum information
3778:Positional notation
3656:Dravidian languages
3297:Decimal computation
2989:
2868:are equal to 0 for
2796:
2736:which is called an
2396:. This way one has
2301:significant figures
2219:and everyday life.
1480:Sign-value notation
613:For representing a
396:non-negative number
394:For representing a
173:is an integer, and
6001:(1996 documentary)
5930:Metric (SI) prefix
5642:10.1007/BF03217098
5425:on 19 August 2007.
5382:Ventureño language
4700:2010-08-19 at the
4678:2003-11-16 at the
4624:Cowlishaw, Mike F.
4509:"Decimal Fraction"
4317:Fleeting Footsteps
4143:means 6 × 2 = 12,
4019:originally used a
4003:2016-04-15 at the
3763:two-ten with three
3663:Hungarian language
3511:
3498:
3424:Mohenjo-daro ruler
3409:
3380:{\displaystyle 10}
3377:
3317:
3242:4152.000000000...
3204:4156.156156156...
2990:
2969:
2797:
2776:
2686:
2668:
2579:
2185:
1729:
1675:(sometimes called
1136:East Asian systems
904:
713:
608:5.2 = 5.20 = 5.200
552:
450:
311:, for forming the
262:
32:
6043:
6042:
5940:Microscopic scale
5935:Macroscopic scale
5160:"Indian numerals"
5094:978-0-691-11485-9
4958:, pp. 150–53
4902:978-3-9817606-5-1
4856:978-0-486-42165-0
4447:978-0-674-97223-0
4374:Wolfram MathWorld
4339:978-981-238-696-0
4299:(Subscription or
4199:Decimal separator
3941:
3940:
3646:Natural languages
3530:approximation of
3275:
3274:
3140:repeating decimal
3123:Repeating decimal
3107:, having exactly
2840:of a real number
2653:
2345:that has exactly
1862:digits after the
1673:Decimal fractions
1670:
1669:
1469:
1468:
964:Decimal fractions
902:
869:
842:
604:15 = 15.0 = 15.00
381:decimal separator
304:decimal fractions
297:for representing
271:Egyptian numerals
230:repeating decimal
217:infinite sequence
209:infinite decimals
191:fractional number
153:decimal fractions
121:decimal separator
111:(also often just
94:decimal fractions
41:(also called the
6073:
6033:
6032:
5714:Angular momentum
5688:
5681:
5674:
5665:
5664:
5658:
5657:
5652:, archived from
5613:
5607:
5606:
5604:
5589:
5580:
5574:
5573:
5553:
5547:
5546:
5544:
5543:
5537:
5531:. Archived from
5520:
5509:
5503:
5502:
5500:
5499:
5481:
5475:
5466:
5460:
5459:
5457:
5442:
5433:
5427:
5426:
5424:
5417:
5406:
5397:
5378:
5372:
5371:
5345:
5339:
5338:
5330:
5324:
5322:
5303:
5297:
5295:
5272:
5266:
5265:
5250:
5244:
5243:
5241:
5210:
5201:
5195:
5194:
5174:
5168:
5167:
5156:
5150:
5149:
5135:
5129:
5128:
5117:
5111:
5105:
5099:
5098:
5080:
5071:
5070:
5055:
5049:
5039:
5033:
5032:
5019:
5013:
5003:
4992:
4986:
4980:
4965:
4959:
4941:
4935:
4934:
4932:
4931:
4916:
4907:
4906:
4886:
4880:
4865:
4859:
4848:
4842:
4827:
4821:
4814:
4808:
4807:
4774:(7085): 755–56.
4763:
4757:
4747:Genèse de l'Inde
4743:
4737:
4736:
4719:
4713:
4670:
4664:
4663:
4661:
4660:
4645:
4639:
4617:
4611:
4610:
4594:
4581:
4575:
4574:
4553:
4547:
4536:
4530:
4529:
4527:
4526:
4505:
4499:
4498:
4496:
4495:
4475:
4469:
4458:
4452:
4451:
4433:
4424:
4422:
4420:
4417:
4414:
4411:
4405:
4396:
4390:
4389:
4387:
4385:
4365:
4356:
4355:
4353:
4351:
4322:World Scientific
4311:
4305:
4304:
4296:
4284:
4277:
4260:
4252:
4179:Decimal computer
4151:means 36×2 = 72.
4129:Papua New Guinea
4070:Papua New Guinea
4044:Kuurn Kopan Noot
4032:quinary (base-5)
3933:
3926:
3919:
3782:
3781:
3724:
3723:
3718:
3717:
3712:
3711:
3706:
3705:
3692:
3691:
3686:
3685:
3680:
3679:
3674:
3673:
3619:
3610:Jamshid al-Kashi
3606:Immanuel Bonfils
3585:
3580:
3575:
3570:
3565:
3560:
3553:
3552:
3533:
3459:classical Greece
3440:
3437:
3421:
3418:
3407:period in China.
3386:
3384:
3383:
3378:
3311:
3308:
3292:
3290:
3289:
3286:
3283:
3271:
3269:
3268:
3265:
3262:
3256:
3241:
3218:
3203:
3189:0.4156156156...
3188:
3179:For example, if
3176:
3175:
3168:
3164:
3160:
3158:
3157:
3154:
3151:
3136:decimal fraction
3117:Rational numbers
3111:
3106:
3098:
3090:
3074:
3062:
3051:
3041:
3022:
3010:
2999:
2997:
2996:
2991:
2988:
2983:
2968:
2967:
2941:
2907:
2897:
2883:
2878:
2872:
2867:
2856:
2844:
2835:
2806:
2804:
2803:
2798:
2795:
2790:
2775:
2774:
2754:
2744:
2731:
2695:
2693:
2692:
2687:
2684:
2683:
2667:
2633:
2628:
2621:is the limit of
2619:
2609:
2604:
2588:
2586:
2585:
2580:
2578:
2577:
2556:
2555:
2540:
2539:
2527:
2523:
2522:
2521:
2510:
2495:
2494:
2489:
2462:
2454:
2441:
2395:
2387:to the right of
2386:
2375:
2367:
2359:
2348:
2343:
2338:
2330:
2323:
2298:
2294:
2273:
2261:
2246:
2241:
2235:
2229:
2225:
2210:
2194:
2192:
2191:
2186:
2178:
2177:
2165:
2164:
2146:
2145:
2133:
2132:
2114:
2113:
2101:
2100:
2082:
2081:
2069:
2068:
2050:
2049:
2037:
2036:
2018:
2017:
2005:
2004:
1986:
1985:
1973:
1972:
1954:
1953:
1941:
1940:
1922:
1921:
1909:
1908:
1869:
1861:
1852:
1851:
1849:
1848:
1845:
1842:
1834:
1833:
1831:
1830:
1827:
1824:
1820:
1813:
1812:
1810:
1809:
1806:
1803:
1799:
1792:
1791:
1789:
1788:
1785:
1782:
1774:
1773:
1771:
1770:
1767:
1764:
1756:
1755:
1753:
1752:
1749:
1746:
1738:
1736:
1735:
1730:
1681:rational numbers
1662:
1655:
1648:
1451:
1435:
1417:
1407:balanced ternary
1404:
1391:
997:
996:
968:
967:
952:
948:
913:
911:
910:
905:
903:
901:
900:
891:
890:
881:
870:
868:
867:
858:
857:
848:
843:
841:
840:
831:
830:
821:
816:
815:
806:
805:
787:
786:
771:
770:
752:
751:
742:
741:
722:
720:
719:
714:
712:
711:
699:
698:
689:
688:
676:
675:
663:
662:
647:
646:
627:
609:
605:
601:
589:
585:
574:
561:
559:
558:
553:
551:
550:
538:
537:
528:
527:
515:
514:
502:
501:
486:
485:
459:
457:
456:
451:
449:
448:
436:
435:
420:
419:
390:
386:
333:negative numbers
319:Decimal notation
291:Chinese numerals
239:
238:
178:
172:
166:
142:
138:
130:
126:
102:decimal notation
88:and non-integer
79:
78:
75:
74:
71:
68:
65:
62:
59:
6081:
6080:
6076:
6075:
6074:
6072:
6071:
6070:
6046:
6045:
6044:
6039:
6021:
5944:
5877:
5793:Magnetic moment
5697:
5692:
5662:
5661:
5614:
5610:
5602:
5587:
5581:
5577:
5554:
5550:
5541:
5539:
5535:
5529:
5518:
5510:
5506:
5497:
5495:
5482:
5478:
5467:
5463:
5455:
5440:
5434:
5430:
5422:
5415:
5407:
5400:
5379:
5375:
5360:
5346:
5342:
5331:
5327:
5304:
5300:
5273:
5269:
5251:
5247:
5239:
5208:
5202:
5198:
5175:
5171:
5158:
5157:
5153:
5136:
5132:
5118:
5114:
5106:
5102:
5095:
5081:
5074:
5056:
5052:
5040:
5036:
5020:
5016:
5010:Chinese Science
5004:
4995:
4987:
4983:
4967:Georges Ifrah:
4966:
4962:
4944:Menninger, Karl
4942:
4938:
4929:
4927:
4920:"Greek numbers"
4918:
4917:
4910:
4903:
4887:
4883:
4867:Georges Ifrah:
4866:
4862:
4849:
4845:
4829:Georges Ifrah:
4828:
4824:
4815:
4811:
4788:10.1038/440755a
4764:
4760:
4744:
4740:
4734:
4720:
4716:
4702:Wayback Machine
4680:Wayback Machine
4671:
4667:
4658:
4656:
4647:
4646:
4642:
4618:
4614:
4607:
4585:Schmid, Hermann
4582:
4578:
4571:
4557:Schmid, Hermann
4554:
4550:
4540:Werner Buchholz
4537:
4533:
4524:
4522:
4507:
4506:
4502:
4493:
4491:
4476:
4472:
4459:
4455:
4448:
4434:
4427:
4418:
4415:
4412:
4409:
4407:
4403:
4397:
4393:
4383:
4381:
4370:"Decimal Point"
4366:
4359:
4349:
4347:
4340:
4312:
4308:
4298:
4278:
4274:
4269:
4264:
4263:
4253:
4249:
4244:
4239:
4158:
4005:Wayback Machine
3937:
3789:
3780:
3774:
3648:
3620:
3531:
3503:
3495:
3493:
3455:Únětice culture
3438:
3419:
3397:
3372:
3369:
3368:
3309:
3299:
3287:
3284:
3281:
3280:
3278:
3266:
3263:
3260:
3259:
3257:
3254:
3239:
3219:4.156156156...
3216:
3201:
3186:
3166:
3162:
3155:
3152:
3149:
3148:
3146:
3142:. For example,
3132:rational number
3125:
3119:
3109:
3104:
3097:
3092:
3089:
3084:
3072:
3064:
3061:
3053:
3043:
3039:
3031:
3020:
3012:
3009:
3001:
2984:
2973:
2963:
2959:
2947:
2944:
2943:
2940:
2931:
2925:
2918:
2914:
2909:
2908:equal to 9 and
2899:
2896:
2888:
2881:
2876:
2870:
2866:
2858:
2855:
2847:
2842:
2833:
2824:
2818:
2811:
2808:
2791:
2780:
2770:
2766:
2760:
2757:
2756:
2753:
2750:
2742:
2729:
2720:
2714:
2707:
2700:
2679:
2675:
2657:
2644:
2641:
2640:
2631:
2627:
2622:
2617:
2607:
2602:
2594:
2564:
2560:
2548:
2544:
2535:
2531:
2511:
2500:
2499:
2490:
2479:
2478:
2477:
2473:
2471:
2468:
2467:
2461:
2456:
2453:
2447:
2440:
2432:
2422:
2416:
2409:
2405:
2400:
2394:
2388:
2385:
2377:
2374:
2369:
2366:
2361:
2358:
2350:
2346:
2341:
2337:
2332:
2325:
2324:and an integer
2321:
2315:
2309:
2296:
2290:
2263:
2249:
2244:
2237:
2231:
2227:
2223:
2208:
2201:
2173:
2169:
2160:
2156:
2141:
2137:
2128:
2124:
2109:
2105:
2096:
2092:
2077:
2073:
2064:
2060:
2045:
2041:
2032:
2028:
2013:
2009:
2000:
1996:
1981:
1977:
1968:
1964:
1949:
1945:
1936:
1932:
1917:
1913:
1904:
1900:
1892:
1889:
1888:
1867:
1857:
1846:
1843:
1840:
1839:
1837:
1836:
1828:
1825:
1822:
1821:
1818:
1816:
1815:
1807:
1804:
1801:
1800:
1797:
1795:
1794:
1786:
1783:
1780:
1779:
1777:
1776:
1768:
1765:
1762:
1761:
1759:
1758:
1750:
1747:
1744:
1743:
1741:
1740:
1700:
1697:
1696:
1677:decimal numbers
1666:
1630:
1629:
1552:
1538:Proto-cuneiform
1483:
1482:
1471:
1470:
1465:
1464:
1449:
1433:
1415:
1402:
1389:
1376:
1305:
1304:
1292:
1291:
1272:
1232:
1217:
1208:
1207:
1198:
1197:
1179:
1138:
1137:
1128:
1127:
1079:
1021:
1007:
1006:
994:
993:
981:Numeral systems
966:
950:
946:
935:fractional part
896:
892:
886:
882:
880:
863:
859:
853:
849:
847:
836:
832:
826:
822:
820:
811:
807:
801:
797:
776:
772:
760:
756:
747:
743:
737:
733:
731:
728:
727:
707:
703:
694:
690:
684:
680:
671:
667:
652:
648:
642:
638:
636:
633:
632:
626:
618:
615:negative number
607:
603:
599:
591:
587:
584:
576:
569:
546:
542:
533:
529:
523:
519:
510:
506:
491:
487:
481:
477:
475:
472:
471:
444:
440:
425:
421:
415:
411:
409:
406:
405:
388:
384:
321:
309:decimal numbers
283:Hebrew numerals
275:Brahmi numerals
266:numeral systems
254:
242:rational number
236:
234:
186:fractional part
174:
168:
161:
140:
136:
128:
124:
109:decimal numeral
56:
52:
24:
17:
12:
11:
5:
6079:
6069:
6068:
6063:
6058:
6041:
6040:
6038:
6037:
6026:
6023:
6022:
6020:
6019:
6011:
6003:
5995:
5987:
5979:
5971:
5963:
5958:
5952:
5950:
5946:
5945:
5943:
5942:
5937:
5932:
5927:
5926:
5925:
5920:
5915:
5901:
5896:
5891:
5885:
5883:
5879:
5878:
5876:
5875:
5870:
5865:
5860:
5855:
5850:
5845:
5840:
5838:Sound pressure
5835:
5830:
5825:
5820:
5815:
5810:
5805:
5800:
5798:Magnetic field
5795:
5790:
5785:
5780:
5775:
5770:
5765:
5760:
5758:Energy density
5751:
5746:
5741:
5736:
5731:
5726:
5721:
5716:
5711:
5705:
5703:
5699:
5698:
5691:
5690:
5683:
5676:
5668:
5660:
5659:
5608:
5605:on 2011-06-04.
5575:
5572:on 2007-09-28.
5548:
5527:
5504:
5476:
5461:
5458:on 2007-08-31.
5428:
5398:
5373:
5358:
5340:
5325:
5298:
5267:
5245:
5196:
5193:on 2007-10-21.
5169:
5151:
5130:
5112:
5100:
5093:
5072:
5050:
5034:
5023:Joseph Needham
5014:
4993:
4981:
4960:
4936:
4908:
4901:
4881:
4860:
4843:
4822:
4809:
4758:
4738:
4732:
4714:
4665:
4640:
4626:, Proceedings
4612:
4605:
4576:
4569:
4548:
4531:
4500:
4470:
4453:
4446:
4425:
4391:
4357:
4338:
4306:
4271:
4270:
4268:
4265:
4262:
4261:
4246:
4245:
4243:
4240:
4238:
4237:
4232:
4230:Serial decimal
4227:
4222:
4217:
4212:
4206:
4204:Decimalisation
4201:
4196:
4191:
4186:
4181:
4176:
4171:
4165:
4159:
4157:
4154:
4153:
4152:
4147:means 36, and
4121:
4111:
4089:
4062:
4051:
4028:
4013:
3989:
3966:
3939:
3938:
3936:
3935:
3928:
3921:
3913:
3910:
3909:
3908:
3907:
3897:
3891:
3882:
3881:
3875:
3874:
3873:
3872:
3862:
3855:
3842:
3841:
3837:
3836:
3835:
3834:
3824:
3814:
3801:
3800:
3794:
3793:
3776:Main article:
3773:
3770:
3725:5 is found in
3652:natural number
3647:
3644:
3614:
3588:
3587:
3554:
3521:Sunzi Suanjing
3502:
3499:
3463:Roman numerals
3405:Warring States
3396:
3393:
3376:
3310: 305 BCE
3298:
3295:
3273:
3272:
3252:
3244:
3243:
3237:
3221:
3220:
3214:
3206:
3205:
3199:
3191:
3190:
3184:
3171:
3170:
3121:Main article:
3118:
3115:
3093:
3085:
3068:
3057:
3035:
3016:
3005:
2987:
2982:
2979:
2976:
2972:
2966:
2962:
2958:
2955:
2952:
2936:
2929:
2923:
2916:
2910:
2892:
2862:
2851:
2829:
2822:
2816:
2809:
2794:
2789:
2786:
2783:
2779:
2773:
2769:
2765:
2751:
2734:
2733:
2725:
2718:
2712:
2705:
2682:
2678:
2674:
2671:
2666:
2663:
2660:
2656:
2652:
2649:
2623:
2598:
2591:
2590:
2576:
2573:
2570:
2567:
2563:
2559:
2554:
2551:
2547:
2543:
2538:
2534:
2530:
2526:
2520:
2517:
2514:
2509:
2506:
2503:
2498:
2493:
2488:
2485:
2482:
2476:
2457:
2448:
2444:
2443:
2436:
2427:
2420:
2414:
2407:
2401:
2389:
2381:
2370:
2362:
2354:
2333:
2311:Main article:
2308:
2305:
2200:
2197:
2196:
2195:
2184:
2181:
2176:
2172:
2168:
2163:
2159:
2155:
2152:
2149:
2144:
2140:
2136:
2131:
2127:
2123:
2120:
2117:
2112:
2108:
2104:
2099:
2095:
2091:
2088:
2085:
2080:
2076:
2072:
2067:
2063:
2059:
2056:
2053:
2048:
2044:
2040:
2035:
2031:
2027:
2024:
2021:
2016:
2012:
2008:
2003:
1999:
1995:
1992:
1989:
1984:
1980:
1976:
1971:
1967:
1963:
1960:
1957:
1952:
1948:
1944:
1939:
1935:
1931:
1928:
1925:
1920:
1916:
1912:
1907:
1903:
1899:
1896:
1875:if and only if
1728:
1725:
1722:
1719:
1716:
1713:
1710:
1707:
1704:
1668:
1667:
1665:
1664:
1657:
1650:
1642:
1639:
1638:
1632:
1631:
1628:
1627:
1622:
1617:
1612:
1607:
1602:
1597:
1592:
1591:
1590:
1585:
1580:
1570:
1565:
1559:
1558:
1551:
1550:
1545:
1540:
1535:
1530:
1525:
1520:
1515:
1510:
1505:
1500:
1495:
1489:
1488:
1487:Non-alphabetic
1484:
1478:
1477:
1476:
1473:
1472:
1467:
1466:
1463:
1462:
1457:
1444:
1428:
1423:
1410:
1397:
1383:
1382:
1375:
1374:
1367:
1362:
1357:
1352:
1347:
1342:
1337:
1332:
1327:
1322:
1317:
1311:
1310:
1306:
1299:
1298:
1297:
1294:
1293:
1290:
1289:
1283:
1277:
1276:
1271:
1270:
1265:
1260:
1255:
1250:
1245:
1239:
1238:
1236:Post-classical
1231:
1230:
1224:
1223:
1216:
1215:
1209:
1205:
1204:
1203:
1200:
1199:
1196:
1195:
1190:
1184:
1183:
1178:
1177:
1172:
1167:
1162:
1157:
1156:
1155:
1144:
1143:
1139:
1135:
1134:
1133:
1130:
1129:
1126:
1125:
1120:
1115:
1110:
1105:
1100:
1095:
1090:
1085:
1078:
1077:
1072:
1067:
1062:
1057:
1052:
1047:
1042:
1037:
1032:
1027:
1020:
1019:
1017:Eastern Arabic
1014:
1012:Western Arabic
1008:
1002:
1001:
1000:
995:
989:
988:
987:
984:
983:
977:
976:
965:
962:
916:
915:
899:
895:
889:
885:
879:
876:
873:
866:
862:
856:
852:
846:
839:
835:
829:
825:
819:
814:
810:
804:
800:
796:
793:
790:
785:
782:
779:
775:
769:
766:
763:
759:
755:
750:
746:
740:
736:
710:
706:
702:
697:
693:
687:
683:
679:
674:
670:
666:
661:
658:
655:
651:
645:
641:
622:
595:
580:
566:
565:
564:
563:
549:
545:
541:
536:
532:
526:
522:
518:
513:
509:
505:
500:
497:
494:
490:
484:
480:
466:
465:
462:
461:
460:
447:
443:
439:
434:
431:
428:
424:
418:
414:
325:decimal digits
320:
317:
287:Roman numerals
279:Greek numerals
253:
250:
215:, by using an
117:decimal number
39:numeral system
15:
9:
6:
4:
3:
2:
6078:
6067:
6064:
6062:
6059:
6057:
6054:
6053:
6051:
6036:
6028:
6027:
6024:
6017:
6016:
6012:
6009:
6008:
6004:
6002:
6000:
5999:Cosmic Voyage
5996:
5994:
5992:
5991:Powers of Ten
5988:
5985:
5984:
5980:
5977:
5976:
5972:
5969:
5968:
5964:
5962:
5959:
5957:
5954:
5953:
5951:
5947:
5941:
5938:
5936:
5933:
5931:
5928:
5924:
5921:
5919:
5916:
5914:
5911:
5910:
5909:
5905:
5902:
5900:
5899:Fermi problem
5897:
5895:
5892:
5890:
5887:
5886:
5884:
5880:
5874:
5871:
5869:
5866:
5864:
5861:
5859:
5856:
5854:
5851:
5849:
5846:
5844:
5841:
5839:
5836:
5834:
5831:
5829:
5826:
5824:
5821:
5819:
5816:
5814:
5811:
5809:
5806:
5804:
5801:
5799:
5796:
5794:
5791:
5789:
5786:
5784:
5781:
5779:
5776:
5774:
5771:
5769:
5766:
5764:
5761:
5759:
5755:
5752:
5750:
5747:
5745:
5742:
5740:
5737:
5735:
5732:
5730:
5727:
5725:
5722:
5720:
5717:
5715:
5712:
5710:
5707:
5706:
5704:
5700:
5696:
5689:
5684:
5682:
5677:
5675:
5670:
5669:
5666:
5656:on 2015-09-26
5655:
5651:
5647:
5643:
5639:
5635:
5631:
5627:
5623:
5619:
5612:
5601:
5597:
5593:
5586:
5579:
5571:
5567:
5563:
5559:
5552:
5538:on 2016-03-28
5534:
5530:
5528:90-429-1295-2
5524:
5517:
5516:
5508:
5494:on 2008-10-05
5493:
5489:
5488:
5480:
5473:
5472:
5465:
5454:
5450:
5446:
5439:
5432:
5421:
5414:
5413:
5405:
5403:
5395:
5394:0-292-75531-7
5391:
5387:
5383:
5377:
5369:
5365:
5361:
5359:1-58477-658-7
5355:
5351:
5344:
5336:
5329:
5321:
5317:
5314:(4): 487–95,
5313:
5309:
5302:
5294:
5290:
5286:
5283:(4): 293–99,
5282:
5278:
5271:
5263:
5259:
5255:
5254:Marcia Ascher
5249:
5238:
5234:
5230:
5226:
5222:
5218:
5214:
5207:
5200:
5192:
5188:
5184:
5180:
5173:
5165:
5161:
5155:
5148:
5143:
5142:
5134:
5126:
5122:
5116:
5109:
5104:
5096:
5090:
5086:
5079:
5077:
5068:
5064:
5060:
5059:Lay Yong, Lam
5054:
5048:
5047:3-540-33782-2
5044:
5038:
5030:
5029:
5024:
5018:
5011:
5007:
5002:
5000:
4998:
4990:
4985:
4978:
4977:0-14-009919-0
4974:
4970:
4964:
4957:
4956:3-525-40725-4
4953:
4949:
4945:
4940:
4925:
4921:
4915:
4913:
4904:
4898:
4894:
4893:
4885:
4878:
4877:0-14-009919-0
4874:
4870:
4864:
4857:
4853:
4847:
4840:
4839:0-14-009919-0
4836:
4832:
4826:
4819:
4813:
4805:
4801:
4797:
4793:
4789:
4785:
4781:
4777:
4773:
4769:
4762:
4756:
4755:2-228-89116-9
4752:
4748:
4742:
4735:
4733:0-02-906990-4
4729:
4725:
4718:
4711:
4710:0-7695-1894-X
4707:
4703:
4699:
4696:
4695:ARITH 16
4692:
4691:
4685:
4681:
4677:
4674:
4669:
4654:
4650:
4644:
4637:
4636:0-7695-1894-X
4633:
4629:
4625:
4621:
4616:
4608:
4606:0-471-76180-X
4602:
4598:
4593:
4592:
4586:
4580:
4572:
4570:0-89874-318-4
4566:
4562:
4558:
4552:
4545:
4541:
4535:
4520:
4516:
4515:
4510:
4504:
4489:
4485:
4481:
4474:
4467:
4463:
4457:
4449:
4443:
4439:
4432:
4430:
4401:
4395:
4379:
4375:
4371:
4364:
4362:
4345:
4341:
4335:
4331:
4327:
4323:
4319:
4318:
4310:
4302:
4294:
4290:
4289:
4283:
4276:
4272:
4257:
4251:
4247:
4236:
4235:Metric prefix
4233:
4231:
4228:
4226:
4223:
4221:
4218:
4216:
4213:
4210:
4207:
4205:
4202:
4200:
4197:
4195:
4192:
4190:
4187:
4185:
4182:
4180:
4177:
4175:
4172:
4169:
4166:
4164:
4161:
4160:
4150:
4146:
4142:
4138:
4134:
4130:
4126:
4125:Ndom language
4122:
4119:
4115:
4112:
4109:
4108:tokapu tokapu
4105:
4101:
4097:
4093:
4090:
4087:
4083:
4079:
4075:
4071:
4067:
4066:Huli language
4063:
4060:
4056:
4052:
4049:
4045:
4041:
4037:
4033:
4029:
4026:
4022:
4018:
4014:
4010:
4006:
4002:
3999:
3995:
3990:
3987:
3983:
3979:
3975:
3971:
3967:
3964:
3960:
3956:
3952:
3949:
3948:Pre-Columbian
3946:
3945:
3944:
3934:
3929:
3927:
3922:
3920:
3915:
3914:
3912:
3911:
3906:-dimensional)
3905:
3901:
3898:
3895:
3892:
3889:
3886:
3885:
3884:
3883:
3880:
3877:
3876:
3870:
3866:
3863:
3860:
3856:
3853:
3849:
3846:
3845:
3844:
3843:
3839:
3838:
3832:
3828:
3825:
3822:
3818:
3815:
3812:
3808:
3805:
3804:
3803:
3802:
3799:
3796:
3795:
3792:
3787:
3784:
3783:
3779:
3769:
3766:
3764:
3760:
3756:
3752:
3747:
3744:
3740:
3736:
3732:
3728:
3707:9 (thousand)
3700:
3699:two-ten-three
3696:
3667:
3664:
3659:
3657:
3653:
3643:
3641:
3637:
3635:
3631:
3630:
3625:
3618:
3613:
3611:
3607:
3603:
3598:
3595:
3591:
3584:
3579:
3574:
3569:
3564:
3559:
3555:
3548:
3547:
3546:
3544:
3543:
3538:
3534:
3527:
3523:
3522:
3517:
3507:
3490:
3486:
3484:
3478:
3476:
3472:
3471:Sand Reckoner
3468:
3464:
3460:
3456:
3452:
3448:
3444:
3433:
3429:
3425:
3414:
3406:
3401:
3392:
3390:
3374:
3364:
3362:
3358:
3354:
3348:
3344:
3342:
3338:
3334:
3330:
3326:
3322:
3315:
3303:
3294:
3253:
3250:
3246:
3245:
3238:
3235:
3231:
3227:
3223:
3222:
3215:
3212:
3208:
3207:
3200:
3197:
3193:
3192:
3185:
3182:
3178:
3177:
3174:
3145:
3144:
3143:
3141:
3137:
3133:
3129:
3128:Long division
3124:
3114:
3112:
3102:
3096:
3088:
3080:
3078:
3071:
3067:
3060:
3056:
3050:
3046:
3038:
3034:
3028:
3026:
3019:
3015:
3008:
3004:
2980:
2977:
2974:
2964:
2956:
2939:
2935:
2928:
2922:
2913:
2906:
2902:
2895:
2891:
2885:
2879:
2873:
2865:
2861:
2854:
2850:
2845:
2839:
2832:
2828:
2821:
2815:
2787:
2784:
2781:
2771:
2767:
2747:
2745:
2739:
2728:
2724:
2717:
2711:
2703:
2699:
2698:
2697:
2680:
2672:
2658:
2650:
2647:
2638:
2634:
2626:
2620:
2614:
2610:
2601:
2597:
2574:
2571:
2568:
2565:
2561:
2557:
2552:
2549:
2545:
2541:
2536:
2532:
2528:
2524:
2518:
2515:
2512:
2507:
2504:
2501:
2496:
2491:
2486:
2483:
2480:
2474:
2466:
2465:
2464:
2460:
2451:
2439:
2435:
2430:
2426:
2419:
2413:
2404:
2399:
2398:
2397:
2392:
2384:
2380:
2373:
2365:
2357:
2353:
2344:
2336:
2328:
2320:
2314:
2304:
2302:
2293:
2288:
2285:with a known
2284:
2280:
2275:
2271:
2267:
2260:
2256:
2252:
2247:
2242:with at most
2240:
2234:
2220:
2218:
2214:
2206:
2182:
2179:
2174:
2170:
2166:
2161:
2157:
2153:
2150:
2147:
2142:
2138:
2134:
2129:
2125:
2121:
2118:
2115:
2110:
2106:
2102:
2097:
2093:
2089:
2086:
2083:
2078:
2074:
2070:
2065:
2061:
2057:
2054:
2051:
2046:
2042:
2038:
2033:
2029:
2025:
2022:
2019:
2014:
2010:
2006:
2001:
1997:
1993:
1990:
1987:
1982:
1978:
1974:
1969:
1965:
1961:
1958:
1955:
1950:
1946:
1942:
1937:
1933:
1929:
1926:
1923:
1918:
1914:
1910:
1905:
1901:
1897:
1894:
1887:
1886:
1885:
1883:
1880:Expressed as
1878:
1876:
1871:
1865:
1860:
1854:
1726:
1723:
1720:
1717:
1714:
1711:
1708:
1705:
1702:
1694:
1690:
1686:
1682:
1678:
1674:
1663:
1658:
1656:
1651:
1649:
1644:
1643:
1641:
1640:
1637:
1634:
1633:
1626:
1623:
1621:
1618:
1616:
1613:
1611:
1608:
1606:
1603:
1601:
1598:
1596:
1593:
1589:
1586:
1584:
1581:
1579:
1576:
1575:
1574:
1573:Alphasyllabic
1571:
1569:
1566:
1564:
1561:
1560:
1557:
1554:
1553:
1549:
1546:
1544:
1541:
1539:
1536:
1534:
1531:
1529:
1526:
1524:
1521:
1519:
1516:
1514:
1511:
1509:
1506:
1504:
1501:
1499:
1496:
1494:
1491:
1490:
1486:
1485:
1481:
1475:
1474:
1461:
1458:
1455:
1448:
1445:
1442:
1441:
1432:
1429:
1427:
1424:
1421:
1414:
1411:
1408:
1401:
1398:
1395:
1388:
1385:
1384:
1381:
1378:
1377:
1372:
1368:
1366:
1363:
1361:
1358:
1356:
1353:
1351:
1348:
1346:
1343:
1341:
1338:
1336:
1333:
1331:
1328:
1326:
1323:
1321:
1318:
1316:
1313:
1312:
1308:
1307:
1303:
1296:
1295:
1287:
1284:
1282:
1279:
1278:
1274:
1273:
1269:
1266:
1264:
1261:
1259:
1256:
1254:
1251:
1249:
1246:
1244:
1241:
1240:
1237:
1234:
1233:
1229:
1226:
1225:
1222:
1219:
1218:
1214:
1211:
1210:
1206:Other systems
1202:
1201:
1194:
1191:
1189:
1188:Counting rods
1186:
1185:
1181:
1180:
1176:
1173:
1171:
1168:
1166:
1163:
1161:
1158:
1154:
1151:
1150:
1149:
1146:
1145:
1141:
1140:
1132:
1131:
1124:
1121:
1119:
1116:
1114:
1111:
1109:
1106:
1104:
1101:
1099:
1096:
1094:
1091:
1089:
1086:
1084:
1081:
1080:
1076:
1073:
1071:
1068:
1066:
1063:
1061:
1058:
1056:
1053:
1051:
1048:
1046:
1043:
1041:
1038:
1036:
1033:
1031:
1028:
1026:
1023:
1022:
1018:
1015:
1013:
1010:
1009:
1005:
999:
998:
992:
986:
985:
982:
979:
978:
974:
970:
969:
961:
959:
954:
949:, instead of
944:
939:
937:
936:
931:
927:
926:integral part
923:
922:
897:
893:
887:
883:
877:
874:
871:
864:
860:
854:
850:
844:
837:
833:
827:
823:
817:
812:
808:
802:
798:
794:
791:
788:
783:
780:
777:
773:
767:
764:
761:
757:
753:
748:
744:
738:
734:
726:
725:
724:
708:
704:
700:
695:
691:
685:
681:
677:
672:
668:
664:
659:
656:
653:
649:
643:
639:
629:
625:
621:
616:
611:
598:
594:
583:
579:
572:
547:
543:
539:
534:
530:
524:
520:
516:
511:
507:
503:
498:
495:
492:
488:
482:
478:
470:
469:
468:
467:
463:
445:
441:
437:
432:
429:
426:
422:
416:
412:
404:
403:
401:
400:
399:
397:
392:
382:
378:
374:
370:
366:
362:
358:
354:
350:
346:
342:
338:
334:
330:
326:
316:
314:
310:
306:
305:
300:
296:
292:
288:
284:
280:
276:
272:
267:
258:
249:
247:
243:
232:
231:
226:
222:
218:
214:
210:
205:
203:
199:
194:
192:
188:
187:
182:
177:
171:
164:
159:
155:
154:
148:
146:
134:
122:
118:
114:
110:
105:
103:
99:
95:
91:
87:
83:
77:
51:
47:
44:
40:
37:
28:
22:
6013:
6005:
5998:
5990:
5981:
5973:
5965:
5912:
5904:Powers of 10
5756: /
5709:Acceleration
5654:the original
5628:(1): 47–71,
5625:
5621:
5611:
5600:the original
5595:
5591:
5578:
5570:the original
5565:
5561:
5551:
5540:. Retrieved
5533:the original
5515:La Pluralité
5514:
5507:
5496:. Retrieved
5492:the original
5486:
5479:
5470:
5468:Dawson, J. "
5464:
5453:the original
5448:
5444:
5431:
5420:the original
5411:
5385:
5376:
5349:
5343:
5334:
5328:
5311:
5307:
5301:
5292:
5280:
5276:
5270:
5248:
5219:(1): 41–60.
5216:
5212:
5199:
5191:the original
5186:
5182:
5172:
5163:
5154:
5145:
5139:
5133:
5124:
5115:
5103:
5084:
5066:
5062:
5053:
5037:
5027:
5017:
5009:
5006:Lam Lay Yong
4989:Lam Lay Yong
4984:
4968:
4963:
4947:
4939:
4928:. Retrieved
4891:
4884:
4868:
4863:
4858:, p. 50
4846:
4830:
4825:
4817:
4812:
4771:
4767:
4761:
4746:
4741:
4723:
4717:
4688:Proceedings
4687:
4668:
4657:. Retrieved
4643:
4619:
4615:
4590:
4579:
4560:
4551:
4543:
4534:
4523:. Retrieved
4512:
4503:
4492:. Retrieved
4483:
4473:
4456:
4437:
4394:
4382:. Retrieved
4373:
4348:. Retrieved
4330:10.1142/5425
4316:
4309:
4286:
4275:
4250:
4184:Decimal time
4148:
4144:
4140:
4136:
4107:
4103:
4099:
4085:
4081:
4077:
3994:long hundred
3972:language in
3951:Mesoamerican
3942:
3903:
3868:
3840:Data storage
3830:
3767:
3762:
3759:ten with one
3758:
3748:
3713:3 (hundred)
3698:
3694:
3668:
3660:
3649:
3638:
3633:
3627:
3624:Simon Stevin
3621:
3599:
3594:Al-Khwarizmi
3592:
3589:
3540:
3519:
3512:
3483:rod calculus
3479:
3423:
3410:
3365:
3349:
3345:
3319:Most modern
3318:
3276:
3248:
3233:
3232:, i.e. 9,990
3229:
3225:
3210:
3195:
3180:
3172:
3139:
3126:
3108:
3100:
3094:
3086:
3081:
3069:
3065:
3058:
3054:
3048:
3044:
3036:
3032:
3029:
3017:
3013:
3006:
3002:
2937:
2933:
2926:
2920:
2911:
2904:
2900:
2893:
2889:
2886:
2875:
2869:
2863:
2859:
2852:
2848:
2841:
2837:
2830:
2826:
2819:
2813:
2748:
2741:
2737:
2735:
2726:
2722:
2715:
2709:
2701:
2630:
2624:
2616:
2606:
2599:
2595:
2592:
2458:
2449:
2445:
2437:
2433:
2428:
2424:
2417:
2411:
2402:
2390:
2382:
2378:
2371:
2363:
2355:
2351:
2340:
2334:
2326:
2316:
2291:
2276:
2269:
2265:
2258:
2254:
2250:
2243:
2238:
2232:
2221:
2205:real numbers
2202:
1879:
1872:
1858:
1855:
1676:
1672:
1671:
1439:
1400:Signed-digit
1344:
1275:Contemporary
1142:Contemporary
955:
940:
933:
925:
921:integer part
919:
917:
631:The numeral
630:
623:
619:
612:
596:
592:
581:
577:
570:
567:
393:
383:is the dot "
329:decimal mark
322:
312:
308:
302:
263:
228:
224:
208:
206:
195:
190:
184:
175:
169:
162:
160:of the form
152:
149:
145:two decimals
144:
132:
116:
112:
108:
106:
101:
93:
81:
49:
42:
35:
33:
5986:(1968 film)
5983:Cosmic Zoom
5978:(1964 film)
5970:(1957 book)
5967:Cosmic View
5853:Temperature
5828:Probability
5778:Illuminance
4141:mer an thef
4135:numerals.
4104:tokapu talu
3791:information
3772:Other bases
3640:John Napier
3537:Qin Jiushao
3526:Zu Chongzhi
3341:hexadecimal
3312:) from the
3194:then 10,000
2463:amounts to
2319:real number
2287:upper bound
2279:measurement
2217:engineering
1689:denominator
1578:Akṣarapallī
1548:Tally marks
1447:Non-integer
331:, and, for
273:, then the
213:real number
198:approximate
156:. That is,
6050:Categories
6015:Cosmic Eye
5542:2014-09-12
5498:2011-05-29
4930:2019-07-21
4659:2008-08-15
4525:2013-06-18
4494:2020-08-22
4438:Arithmetic
4303:required.)
4267:References
4215:Duodecimal
4102:means 24,
4080:means 15,
4076:numbers.
4059:duodecimal
4040:Nunggubuyu
3974:California
3761:and 23 as
3731:Vietnamese
3697:and 23 as
3629:De Thiende
3467:Archimedes
3451:Mycenaeans
1615:Glagolitic
1588:Kaṭapayādi
1556:Alphabetic
1460:Asymmetric
1302:radix/base
1243:Cistercian
1228:Babylonian
1175:Vietnamese
1030:Devanagari
930:truncation
337:minus sign
5923:1000000th
5833:Radiation
5788:Luminance
5773:Frequency
5734:Computing
5650:161535519
5108:Gandz, S.
5069:: 101–08.
4686:, M. F.,
4684:Cowlishaw
4559:(1983) .
4480:"Decimal"
4384:March 17,
4350:March 17,
4139:means 6,
4098:numbers.
4092:Umbu-Ungu
4086:ngui ngui
4055:Nigerians
3896:(ternary)
3729:, and in
3719:4 (tens)
3687:, 10,000
3441:) of the
3343:systems.
3224:so 10,000
3165:012345679
2986:∞
2793:∞
2665:∞
2662:→
2635:tends to
2566:−
2550:−
2542:⋅
2516:−
2497:−
2183:…
2167:⋅
2135:⋅
2103:⋅
2071:⋅
2039:⋅
2007:⋅
1975:⋅
1943:⋅
1911:⋅
1864:separator
1583:Āryabhaṭa
1528:Kharosthi
1420:factorial
1387:Bijective
1288:(Iñupiaq)
1118:Sundanese
1113:Mongolian
1060:Malayalam
943:computing
875:⋯
792:⋯
781:−
765:−
701:…
665:…
657:−
540:…
504:…
496:−
438:…
430:−
158:fractions
96:) of the
6035:Category
5882:See also
5823:Pressure
5808:Molarity
5724:Bit rate
5702:Quantity
5368:76960942
5320:27709904
5237:Archived
5233:20412558
5123:(1985).
4924:Archived
4796:16598247
4698:Archived
4676:Archived
4653:Archived
4587:(1974).
4519:Archived
4488:Archived
4402:in 5.123
4378:Archived
4344:Archived
4282:"denary"
4256:accuracy
4163:Algorism
4156:See also
4149:nif thef
4048:Saraveca
4001:Archived
3890:(binary)
3735:Japanese
3634:La Disme
3539:'s book
3447:Linear B
3445:and the
3434:script (
3432:Linear A
3321:computer
3077:0.999...
3025:0.999...
2637:infinity
1685:fraction
1610:Georgian
1600:Cyrillic
1568:Armenian
1523:Etruscan
1518:Egyptian
1426:Negative
1286:Kaktovik
1281:Cherokee
1258:Pentadic
1182:Historic
1165:Japanese
1098:Javanese
1088:Balinese
1075:Dzongkha
1040:Gurmukhi
1035:Gujarati
973:a series
971:Part of
299:integers
246:quotient
167:, where
82:decanary
43:base-ten
5949:Related
5908:decades
5868:Voltage
5813:Numbers
5763:Entropy
5749:Density
5739:Current
5630:Bibcode
5262:2686959
5147:period.
4804:6787162
4776:Bibcode
4324:. 268.
4118:base-32
4096:base-24
4082:ngui ki
4074:base-15
4009:Goodare
3959:base-20
3957:used a
3869:decimal
3859:ternary
3831:base 10
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3807:shannon
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1148:Chinese
1093:Burmese
1083:Tibetan
1070:Kannada
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1025:Bengali
133:Decimal
125:25.9703
113:decimal
90:numbers
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6010:(2010)
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