Knowledge (XXG)

Duodecimal

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2499: 2003: 1994: 1594: 1588: 3286:). Alternatively, one can use digit-conversion tables. The ones provided below can be used to convert any duodecimal number between 0;1 and BB,BBB;B to decimal, or any decimal number between 0.1 and 99,999.9 to duodecimal. To use them, the given number must first be decomposed into a sum of numbers with only one significant digit each. For example: 2509:
Both the Dozenal Society of America and the Dozenal Society of Great Britain promote widespread adoption of the duodecimal system. They use the word "dozenal" instead of "duodecimal" to avoid the more overtly decimal terminology. However, the etymology of "dozenal" itself is also an expression based
2295:
Multiple digits in this series are pronounced differently: 12 is "do two"; 30 is "three do"; 100 is "gro"; BA9 is "el gro dek do nine"; B86 is "el gro eight do six"; 8BB,15A is "eight gro el do el, one gro five do dek"; ABA is "dek gro el do dek"; BBB is "el gro el do el"; 0.06 is "six egro"; and so
991:
based on the knuckle bones of the four larger fingers. Using the thumb as a pointer, it is possible to count to 12 by touching each finger bone, starting with the farthest bone on the fifth finger, and counting on. In this system, one hand counts repeatedly to 12, while the other displays the number
2614:
The Dozenal Society of America argues that if a base is too small, significantly longer expansions are needed for numbers; if a base is too large, one must memorise a large multiplication table to perform arithmetic. Thus, it presumes that "a number base will need to be between about 7 or 8 through
3294:
This decomposition works the same no matter what base the number is expressed in. Just isolate each non-zero digit, padding them with as many zeros as necessary to preserve their respective place values. If the digits in the given number include zeroes (for example, 7,080.9), these are left out in
2551:
But the final quantitative advantage, in my own experience, is this: in varied and extensive calculations of an ordinary and not unduly complicated kind, carried out over many years, I come to the conclusion that the efficiency of the decimal system might be rated at about 65 or less, if we assign
2535:
The duodecimal tables are easy to master, easier than the decimal ones; and in elementary teaching they would be so much more interesting, since young children would find more fascinating things to do with twelve rods or blocks than with ten. Anyone having these tables at command will do these
5974:, which introduces inexactitude, is necessary to handle them in calculations), and overall one is more likely to have to deal with infinite recurring digits when fractions are expressed in decimal than in duodecimal, because one out of every three consecutive numbers contains the prime factor 2646:. It is the smallest number to have six factors, the largest number to have at least half of the numbers below it as divisors, and is only slightly larger than 10. (The numbers 18 and 20 also have six factors but are much larger.) Ten, in contrast, only has four factors, which are 5982:. All other prime factors, except 2, are not shared by either ten or twelve, so they do not influence the relative likeliness of encountering recurring digits (any irreducible fraction that contains any of these other factors in its denominator will recur in either base). 2083:) to duodecimal numbers "54;6 = 64.5", prefixing duodecimal numbers by an asterisk "*54 = 64", or some combination of these. The Dozenal Society of Great Britain uses an asterisk prefix for duodecimal whole numbers, and a Humphrey point for other duodecimal numbers. 7633:
0, 0, 4, 6, 1, 2, 16, 6, 11, 4, 30, 9, 40, 42, 23, 52, 29, 15, 66, 35, 36, 26, 41, 8, 16, 100, 102, 53, 54, 112, 126, 65, 136, 138, 148, 150, 3, 162, 83, 172, 89, 90, 95, 24, 196, 66, 14, 222, 113, 114, 8, 119, 120, 125, 256, 131, 268, 54, 138, 280, ... (sequence
7610:
0, 0, 0, 0, 4, 0, 6, 0, 0, 4, 1, 0, 2, 6, 4, 0, 16, 0, 6, 4, 6, 1, 11, 0, 20, 2, 0, 6, 4, 4, 30, 0, 1, 16, 12, 0, 9, 6, 2, 4, 40, 6, 42, 1, 4, 11, 23, 0, 42, 20, 16, 2, 52, 0, 4, 6, 6, 4, 29, 4, 15, 30, 6, 0, 4, 1, 66, 16, 11, 12, 35, 0, ... (sequence
1343:
plus 0 units. For duodecimal, the standard numeral symbols for 0–9 are typically preserved for zero through nine, but there are numerous proposals for how to write the numerals representing "ten" and "eleven". More radical proposals do not use any
7656:
11, 13, 157, 5, 22621, 7, 659, 89, 37, 19141, 23, 20593, 477517, 211, 61, 17, 2693651, 1657, 29043636306420266077, 85403261, 8177824843189, 57154490053, 47, 193, 303551, 79, 306829, 673, 59, 31, 373, 153953, 886381, 2551, 71, 73, ... (sequence
3295:
the digit decomposition (7,080.9 = 7,000 + 80 + 0.9). Then, the digit conversion tables can be used to obtain the equivalent value in the target base for each digit. If the given number is in duodecimal and the target base is decimal, we get:
784:, which make a duodecimal count from zero to twelve read 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, 10. The Dozenal Societies of America and Great Britain (organisations promoting the use of duodecimal) use turned digits in their published material: 946: (0.9) all have a short terminating representation in duodecimal. There is also higher regularity observable in the duodecimal multiplication table. As a result, duodecimal has been described as the optimal number system. 5939:
is encountered less often when duodecimal notation is used. Advocates of duodecimal systems argue that this is particularly true of financial calculations, in which the twelve months of the year often enter into calculations.
3315:
Duodecimal ---> Decimal 10,000 = 20,736 2,000 = 3,456 300 = 432 40 = 48 5 = 5 + 0;6 = + 0.5 ----------------------------- 12,345;6 = 24,677.5
2035:
There are also varying proposals of how to distinguish a duodecimal number from a decimal one. The most common method used in mainstream mathematics sources comparing various number bases uses a subscript "10" or "12", e.g.
1065:
used a hybrid decimal–duodecimal counting system, with its words for "one hundred and eighty" meaning 200 and "two hundred" meaning 240. In the British Isles, this style of counting survived well into the Middle Ages as the
1504:) are convenient because they are widely accessible, and for instance can be typed on typewriters. However, when mixed with ordinary prose, they might be confused for letters. As an alternative, Greek letters such as 2487:. Emerson noted that, due to the prevalence of factors of twelve in many traditional units of weight and measure, many of the computational advantages claimed for the metric system could be realized 2577:
portrayed an alien being with twelve fingers and twelve toes using duodecimal arithmetic, using "dek" and "el" as names for ten and eleven, and Andrews' script-X and script-E for the digit symbols.
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After the Pitman digits were added to Unicode, the DSA took a vote and then began publishing PDF content using the Pitman digits instead, but continues to use the letters X and E on its webpage.
1272: 1247: 1222: 7772: 2536:
calculations more than one-and-a-half times as fast in the duodecimal scale as in the decimal. This is my experience; I am certain that even more so it would be the experience of others.
5724: 5492: 5666: 2662:, of which 2 and 5 are prime. Six shares the prime factors 2 and 3 with twelve; however, like ten, six only has four factors (1, 2, 3, and 6) instead of six. Its corresponding base, 5850: 5593: 5273: 3312:
Because the summands are already converted to decimal, the usual decimal arithmetic is used to perform the addition and recompose the number, arriving at the conversion result:
5970:. Nonetheless, having a shorter or longer period does not help the main inconvenience that one does not get a finite representation for such fractions in the given base (so 8022:
von Mengden, Ferdinand (2006). "The peculiarities of the Old English numeral system". In Nikolaus Ritt; Herbert Schendl; Christiane Dalton-Puffer; Dieter Kastovsky (eds.).
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is the smallest number that has three different prime factors (2, 3, and 5, the first three primes), and it has eight factors in total (1, 2, 3, 5, 6, 10, 15, and 30).
5807: 5520: 5921: 5880: 5435: 5395: 2091:
The Dozenal Society of America suggested the pronunciation of ten and eleven as "dek" and "el". For the names of powers of twelve, there are two prominent systems.
5494:. The number of divisors is found by adding one to each exponent of each prime and multiplying the resulting quantities together, so the number of factors of 3351:
Decimal --> Duodecimal 10,000 = 5,954 2,000 = 1,1A8 300 = 210 40 = 34 5 = 5 + 0.6 = + 0;
7664: 7641: 7618: 721: 5989:
appears twice in the factorization of twelve, whereas only once in the factorization of ten; which means that most fractions whose denominators are
2718:, adds the four convenient factors 4, 12, 20, and 60 to 30 but no new prime factors. The smallest number that has four different prime factors is 441: 769:
system, this number is instead written as "12" meaning 1 ten and 2 units, and the string "10" means ten. In duodecimal, "100" means twelve 
1774: 8680: 8398: 2304:
This system uses "-qua" ending for the positive powers of 12 and "-cia" ending for the negative powers of 12, and an extension of the IUPAC
2729:
In all base systems, there are similarities to the representation of multiples of numbers that are one less than or one more than the base.
1106: 7948: 2292:
As numbers get larger (or fractions smaller), the last two morphemes are successively replaced with tri-mo, quad-mo, penta-mo, and so on.
1626:
in 1857. In March 2013, a proposal was submitted to include the digit forms for ten and eleven propagated by the Dozenal Societies in the
8861: 1262: 1237: 274: 7992: 7930: 7979: 2733:
In the following multiplication table, numerals are written in duodecimal. For example, "10" means twelve, and "12" means fourteen.
7978:
Mazaudon, Martine (2002). "Les principes de construction du nombre dans les langues tibéto-birmanes". In François, Jacques (ed.).
3348:
To sum these partial products and recompose the number, the addition must be done with duodecimal rather than decimal arithmetic:
949:
In these respects, duodecimal is considered superior to decimal, which has only 2 and 5 as factors, and other proposed bases like
800: 8156: 5409:(although this includes the divisor 1, which does not produce fractions when used as the denominator). The number of factors of 65: 8429: 8260: 8173: 1512:
could be used instead. Frank Emerson Andrews, an early American advocate for duodecimal, suggested and used in his 1935 book
1183:
established a monetary system that also had a mixed base of twelve and twenty, the remnants of which persist in many places.
508: 3330:
If the given number is in decimal and the target base is duodecimal, the method is same. Using the digit conversion tables:
8361: 8221: 8552: 714: 289: 8531: 8454: 8195: 8093: 634: 20: 8733: 8648: 8502: 965:
numbers terminate), but at the cost of unwieldy multiplication tables and a much larger number of symbols to memorize.
644: 461: 5625:
and other fractions with a denominator of 8 cannot require more than three fractional decimal digits to terminate.
1770: 521: 7819: 7736: 5947:
occur in duodecimal notation, they are less likely to have a very short period than in decimal notation, because
780:
Various symbols have been used to stand for ten and eleven in duodecimal notation; this page uses A and B, as in
617: 386: 1476:
Several authors have proposed using letters of the alphabet for the transdecimal symbols. Latin letters such as
5673: 3282:
To convert numbers between bases, one can use the general conversion algorithm (see the relevant section under
2015: 1600: 707: 34: 5444: 992:
of iterations, until five dozens, i.e. the 60, are full. This system is still in use in many regions of Asia.
8026:. Studies in English Medieval Language and Literature. Vol. 16. Frankfurt: Peter Lang. pp. 125–145. 7872: 5628: 2305: 1283: 697: 481: 78: 5812: 5932: 5526: 5240: 5106:
in the decimal system, fractions whose denominators are made up solely of multiples of 2 and 5 terminate:
4530: 2585: 1576:
or octothorpe). The symbols were chosen because they were available on some typewriters; they are also on
816: 381: 297: 8583: 2726:. However, these numbers are quite large to use as bases, and are far beyond the DSA's stated threshold. 2052:". In 2015 the Dozenal Society of America adopted the more compact single-letter abbreviation "z" for "do 7689: 1941: 1577: 1004: 804: 499: 8866: 8041:. Topics in English Linguistics. Vol. 67. Berlin; New York: De Gruyter Mouton. pp. 159–161. 5060: 2044:". To avoid ambiguity about the meaning of the subscript 10, the subscripts might be spelled out, "54 594: 455: 448: 329: 1580:. This notation was used in publications of the Dozenal Society of America (DSA) from 1974 to 2008. 5931:
The Dozenal Society of America argues that factors of 3 are more commonly encountered in real-life
2477: 2473: 1929: 1569: 1160: 848: 747: 676: 541: 492: 304: 236: 91: 52: 8697: 5077: 1351:
Pronunciation of duodecimal numbers also has no standard, but various systems have been proposed.
8801: 5936: 5729: 1304: 1299: 1026: 589: 342: 179: 174: 121: 5601: 5067:
notation in any base, the fraction can be expressed exactly (terminates) if and only if all the
7956: 7899:
Pittman, Richard (1990). "Origin of Mesopotamian duodecimal and sexagesimal counting systems".
5993:
will have a shorter, more convenient terminating representation in duodecimal than in decimal:
2483:
The case for the duodecimal system was put forth at length in Frank Emerson Andrews' 1935 book
2480:
in 1906, noting it being the smallest number with four factors and its prevalence in commerce.
8676: 8394: 8313: 7988: 7926: 7824: 7681: 7677: 5056: 4719: 2685: 2573: 1138: 1012: 671: 661: 649: 629: 584: 579: 515: 347: 319: 226: 159: 149: 136: 101: 96: 8715: 5809:
in decimal), so eighths cannot need more than two duodecimal fractional places to terminate.
2502:
A duodecimal clockface as in the logo of the Dozenal Society of America, here used to denote
1630:. Of these, the British/Pitman forms were accepted for encoding as characters at code points 1171:
currency system (12 pence = 1 shilling, 20 shillings or 240 pence to the
8155: 7709: 7685: 5964: 5779: 5498: 5358:
The number of denominators that give terminating fractions within a given number of digits,
2528: 1094: 1090: 1038: 1016: 770: 574: 468: 221: 209: 154: 144: 111: 86: 5899: 5858: 5413: 5373: 8386: 3283: 2609:
In this section, numerals are in decimal. For example, "10" means 9+1, and "12" means 9+3.
1345: 988: 812: 807:(2, 3, 4, 6), and the smallest to include as factors all four numbers (1 to 4) within the 686: 656: 599: 569: 554: 314: 282: 254: 231: 214: 73: 7680:
in any positional number system (including decimal and duodecimal) neither terminate nor
666: 8617: 7998: 1089:
had twelve hours in a day (although at some point, this was changed to 24). Traditional
1793: 1172: 1164: 1142: 1042: 1000: 962: 774: 750: 681: 624: 604: 559: 432: 164: 131: 116: 42: 2498: 8855: 7918: 7801: 5854:
Because both ten and twelve have two unique prime factors, the number of divisors of
4534: 2080: 1889: 1740: 1538: 1534: 1530: 1134: 1126: 1008: 984: 820: 487: 376: 309: 249: 184: 126: 106: 8806: 2465:
After hex-, further prefixes continue sept-, oct-, enn-, dec-, lev-, unnil-, unun-.
8764: 8633: 8249: 7937:
Translated from the French by David Bellos, E.F. Harding, Sophie Wood and Ian Monk.
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in its factorization, whereas only one out of every five contains the prime factor
5952: 5068: 2719: 2693: 2643: 1979: 1623: 1446: 1430: 1122: 1118: 1078: 1074: 1067: 639: 564: 7923:
The Universal History of Numbers: From prehistory to the invention of the computer
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for the two extra digits needed for duodecimal) to express which power is meant.
8666: 8158:
New Numbers: How Acceptance of a Duodecimal (12) Base Would Simplify Mathematics
7850: 5960: 5956: 5948: 5064: 2703: 2689: 2681: 2673: 2659: 2639: 2503: 1983: 1934: 1722: 1691: 1657: 1622:. This notation, derived from Arabic digits by 180° rotation, was introduced by 1573: 1485: 1277: 1257: 1232: 1227: 1180: 1176: 1156: 1130: 1102: 1086: 958: 954: 781: 761:. In duodecimal, the number twelve is denoted "10", meaning 1 twelve and 0 754: 609: 474: 426: 416: 8475: 8337: 2510:
on decimal terminology since "dozen" is a direct derivation of the French word
5986: 5979: 5975: 5967: 2655: 2651: 2647: 2635: 2631: 2627: 2623: 2619: 1098: 808: 169: 8286: 8024:
Medieval English and its Heritage: Structure Meaning and Mechanisms of Change
5935:
problems than factors of 5. Thus, in practical applications, the nuisance of
8834: 8652: 7844: 2723: 2711: 2076: 1289: 1168: 1062: 421: 24: 2485:
New Numbers: How Acceptance of a Duodecimal Base Would Simplify Mathematics
2002: 1993: 1593: 1587: 8821: 7949:"Decimal vs. Duodecimal: An interaction between two systems of numeration" 8115: 7805: 5971: 1110: 995:
Languages using duodecimal number systems are uncommon. Languages in the
987:
speculatively traced the origin of the duodecimal system to a system of
7877: 1835: 1804: 1627: 1388: 1314: 1309: 996: 976: 766: 406: 391: 2516: 961:(base sixty) does even better in this respect (the reciprocals of all 8135:
The turned digits 2 and 3 employed in the TIPA package originated in
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of 12). The Romans used a fraction system based on 12, including the
1113:, 24 (12×2) hours in a day; many other items are counted by the 1082: 396: 8814: 8039:
Cardinal Numerals: Old English from a Cross-Linguistic Perspective
2715: 2707: 2677: 2497: 1982:(1857); used by the DSGB; used by the DSA since 2015; included in 1452: 1147: 1114: 1020: 950: 758: 401: 363: 324: 5202:
can be expressed exactly as 0.125, 0.05, and 0.002 respectively.
8126: 7684:. The following table gives the first digits for some important 1252: 1061:), suggesting a decimal rather than duodecimal origin. However, 8809:, the DSA website's page of external links to third party tools 8553:"Systematic Dozenal Nomenclature and other nomenclature system" 2071:
Other proposed methods include italicizing duodecimal numbers "
1831: 5776:
divisors. The sample denominator of 8 is a factor of a gross
1808: 1797: 1606:
The Dozenal Society of Great Britain (DSGB) proposed symbols
1335:
natural numbers is given a distinct numeral symbol, and then
7796: 7659: 7636: 7613: 8796: 8261:"Sir Isaac Pitman on the Dozen System: A Reckoning Reform" 2669: 762: 8137:
The Principles of the International Phonetic Association
5071:
of its denominator are also prime factors of the base.
1101:. There are 12 inches in an imperial foot, 12  8362:"What should the DSA do about transdecimal characters?" 5598:
For example, the number 8 is a factor of 10 (1000), so
2514:, which is a derivative of the French word for twelve, 8287:"Proposal to encode Duodecimal Digit Forms in the UCS" 8127:"tipa – Fonts and macros for IPA phonetics characters" 7741: 5815: 5782: 5631: 5604: 3355:------------------------------- 12,345.6 = 7,189; 8087: 8085: 8083: 7739: 5902: 5861: 5732: 5676: 5529: 5501: 5447: 5416: 5376: 5243: 5080: 8081: 8079: 8077: 8075: 8073: 8071: 8069: 8067: 8065: 8063: 8393:(New York: Cambridge University Press, 2008): 276. 8149: 8147: 8145: 7873:"Why We Should Switch To A Base-12 Counting System" 5234:, however, recur (0.333... and 0.142857142857...). 2571:In "Little Twelvetoes", American television series 2021:
Used by the DSA 1945–1974 and 2008–2015
1463: 1459: 1436: 1386: 1376: 1361: 7766: 5915: 5874: 5844: 5801: 5768: 5718: 5660: 5617: 5587: 5514: 5486: 5429: 5389: 5267: 5098: 979:. For example, "10" means 9+1, and "12" means 9+3. 8577: 8575: 8573: 8430:"Annual Meeting of 1973 and Meeting of the Board" 8314:"The Unicode Standard, Version 8.0: Number Forms" 8174:"Annual Meeting of 1973 and Meeting of the Board" 2495:by the adoption of the duodecimal number system. 2491:by the adoption of ten-based weights and measure 2476:used 12 as the base for his constructed language 2171: 2190: 2152: 1093:, clocks, and compasses are based on the twelve 8763:De Vlieger, Michael Thomas (30 November 2011). 2549: 2533: 803:, is the smallest number with four non-trivial 3290:12,345.6 = 10,000 + 2,000 + 300 + 40 + 5 + 0.6 1081:are duodecimal. There are twelve signs of the 8525: 8523: 8496: 8494: 8424: 8422: 8244: 8242: 2676:only have 2 as a prime factor. Therefore, in 851:representation in duodecimal. In particular, 715: 8: 8056:. Oxford: Clarendon Press. pp. 292–293. 1348:under the principle of "separate identity." 8308: 8306: 7767:{\displaystyle {\tfrac {1+{\sqrt {5}}}{2}}} 5963:(thirteen), whereas ten is adjacent to the 1331:(twelve for duodecimal), each of the first 8448: 8446: 8252:(24 November 1857). "A Reckoning Reform". 5323:recur because they include 5 as a factor; 1445:Arabic digits with 180° rotation, by  1029:have special words for 11 and 12, such as 722: 708: 58: 29: 8758: 8756: 8754: 8696:Pendlebury, Tom; Goodman, Donald (2012). 7750: 7740: 7738: 5907: 5901: 5866: 5860: 5833: 5816: 5814: 5787: 5781: 5731: 5719:{\displaystyle 10^{n}=2^{2n}\times 3^{n}} 5710: 5694: 5681: 5675: 5649: 5632: 5630: 5605: 5603: 5579: 5528: 5506: 5500: 5478: 5465: 5452: 5446: 5421: 5415: 5381: 5375: 5242: 5079: 2618:The number 12 has six factors, which are 2615:about 16, possibly including 18 and 20". 2531:was an outspoken advocate of duodecimal: 8716:"Proposal for the Universal Unit System" 8638:. Edinburgh / London: Oliver & Boyd. 7694: 7692:numbers in both decimal and duodecimal. 6037: 5487:{\displaystyle 10^{n}=2^{n}\times 5^{n}} 5438:is given using its prime factorization. 4878: 4002: 3379: 2736: 2318: 2105: 1665: 1185: 8703:. The Dozenal Society of Great Britain. 8391:The Cambridge Introduction to Serialism 8360:The Dozenal Society of America (n.d.). 8216: 8214: 8212: 7863: 5661:{\textstyle {\frac {5}{8}}=0.625_{10}.} 5370:is the number of factors (divisors) of 2666:, is below the DSA's stated threshold. 1327:In a positional numeral system of base 41: 7648:Smallest prime with duodecimal period 5890:grows quadratically with the exponent 5845:{\textstyle {\frac {5}{8}}=0.76_{12}.} 3999:Decimal to duodecimal digit conversion 3376:Duodecimal to decimal digit conversion 1358: 1145:, which became both the English words 1023:are known to use duodecimal numerals. 8649:"SchoolhouseRock - Little Twelvetoes" 8116:"The Comprehensive LATEX Symbol List" 6153:Prime factors of one above the base: 6144:Prime factors of one below the base: 6070:Prime factors of one above the base: 6061:Prime factors of one below the base: 3278:Conversion tables to and from decimal 2300:Systematic Dozenal Nomenclature (SDN) 1854:W from doubling the Roman numeral V; 7: 7987:. Leuven: Peeters. pp. 91–119. 7871:Dvorsky, George (January 18, 2013). 5588:{\displaystyle (n+1)(n+1)=(n+1)^{2}} 5355:recurs, just as it does in decimal. 5268:{\displaystyle 2\times 2\times 3=12} 3336:10,000 + 2,000 + 300 + 40 + 5 + 0.6 3302:10,000 + 2,000 + 300 + 40 + 5 + 0;6 2595:Takashi Suga's Universal Unit System 2541:A. C. Aitken, "Twelves and Tens" in 2527:Mathematician and mental calculator 2075:= 64", adding a "Humphrey point" (a 8698:"TGM: A Coherent Dozenal Metrology" 7625:The duodecimal period length of 1/( 3308:20,736 + 3,456 + 432 + 48 + 5 + 0.5 1085:, twelve months in a year, and the 8607:The Prodigy (Biography of WJS) pg 8139:, University College London, 1949. 7947:Matsushita, Shuji (October 1998). 7602:The duodecimal period length of 1/ 5943:However, when recurring fractions 4718:while other rational numbers have 2603:Comparison to other number systems 2581:Duodecimal systems of measurements 14: 8651:. 6 February 2010. Archived from 8285:Pentzlin, Karl (March 30, 2013). 8131:Comprehensive TEX Archive Network 8120:Comprehensive TEX Archive Network 7901:Philippine Journal of Linguistics 5896:(in other words, of the order of 3342:5,954 + 1,1A8 + 210 + 34 + 5 + 0; 2706:was actually used by the ancient 2588:proposed by dozenalists include: 1339:is denoted "10", meaning 1 times 975:In this section, numerals are in 8815:Dozenal Society of Great Britain 8774:. The Dozenal Society of America 8616:A. C. Aitken (January 25, 1962) 8532:"How Do You Pronounce Dozenals?" 8368:. The Dozenal Society of America 4520:Fractions and irrational numbers 2738:Duodecimal multiplication table 2001: 1992: 1592: 1586: 1583:From 2008 to 2015, the DSA used 1105:ounces in a troy pound, 12  801:superior highly composite number 8672:Alex's Adventures in Numberland 8635:The Case Against Decimalisation 8154:Andrews, Frank Emerson (1935). 8037:von Mengden, Ferdinand (2010). 4698:= 0;09 (this is one sixteenth, 2559:The Case Against Decimalisation 1910:for other duodecimal numerals. 8584:"Manual of the Dozenal System" 7800:(pi), the ratio of a circle's 7376:0478AA093598166B74311B28623A55 5763: 5751: 5748: 5733: 5576: 5563: 5557: 5545: 5542: 5530: 1946:The Main Stream of Mathematics 1558:The Main Stream of Mathematics 1541:), along with italic numerals 1: 8714:Suga, Takashi (22 May 2019). 8675:. A&C Black. p. 50. 1696:Allows entry on typewriters. 1556:Edna Kramer in her 1951 book 777:, and "0.1" means a twelfth. 8833:Savard, John J. G. (2018) . 8802:"The DSA Symbology Synopsis" 8589:. Dozenal Society of America 8453:De Vlieger, Michael (2008). 8194:De Vlieger, Michael (2008). 8092:De Vlieger, Michael (2010). 7698:Algebraic irrational number 7278:0344827586206896551724137931 5099:{\displaystyle 2\times 5=10} 4664:= 0;1 (this is one twelfth, 1323:Notations and pronunciations 1011:, and the Nimbia dialect of 21:Dewey Decimal Classification 7629:th prime) are (in decimal) 6129:Prime factors of the base: 6046:Prime factors of the base: 5769:{\displaystyle (2n+1)(n+1)} 5618:{\textstyle {\frac {1}{8}}} 2592:Tom Pendlebury's TGM system 2099:In this system, the prefix 1973:Digits 2 and 3 rotated 180° 1529:(italic capital X from the 1380:⟨ten, eleven⟩ 1187:Duodecimally divided units 773:, "1000" means twelve  8883: 8862:Positional numeral systems 8797:Dozenal Society of America 8476:"The Unicode Standard 8.0" 8366:Dozenal Society of America 8338:"The Unicode Standard 8.0" 7733:(phi), the golden ratio = 6246:Positional representation 6243:Positional representation 5275:in the duodecimal system, 4533:for rational numbers with 2722:; the pattern follows the 2714:, among others; its base, 2598:John Volan's Primel system 2103:- is added for fractions. 1809: 1798: 442:Non-standard radices/bases 18: 8503:"Base Annotation Schemes" 8501:Volan, John (July 2015). 8054:Introduction to Old Norse 6123: 6040: 2469:Advocacy and "dozenalism" 2357: 2144: 1944:; used by Edna Kramer in 1668: 1599:, the symbols devised by 1572:or six-pointed asterisk, 1455:, using the TIPA package: 1441: 1428: 1199: 1196: 1191: 796:(a turned 3) for eleven. 790:(a turned 2) for ten and 8820:Lauritzen, Bill (1994). 8582:Goodman, Donald (2016). 8411:Ferrari, Silvio (1854). 8254:Bedfordshire Independent 5951:(twelve) is between two 4537:denominators terminate: 2306:systematic element names 1948:(1951); used by the DSA 1932:or six-pointed asterisk, 1721:Used (in lower case) in 1656:. They were included in 1601:William Addison Dwiggins 1167:used a mixed duodecimal- 1053:(meaning, respectively, 811:range, and the smallest 19:Not to be confused with 8741:The Duodecimal Bulletin 8560:The Duodecimal Bulletin 8539:The Duodecimal Bulletin 8510:The Duodecimal Bulletin 8462:The Duodecimal Bulletin 8437:The Duodecimal Bulletin 8268:The Duodecimal Bulletin 8229:The Duodecimal Bulletin 8203:The Duodecimal Bulletin 8181:The Duodecimal Bulletin 8101:The Duodecimal Bulletin 7717:, the square root of 2 7676:The representations of 5985:Also, the prime factor 5802:{\textstyle 12^{2}=144} 4882:Examples in duodecimal 2642:, of which 2 and 3 are 2520:, descended from Latin 2009:Pronounced "dek", "el" 698:List of numeral systems 8734:"The Primel Metrology" 8292:. ISO/IEC JTC1/SC2/WG2 8114:Pakin, Scott (2021) . 7784:Transcendental number 7768: 7047:0434782608695652173913 5917: 5876: 5846: 5803: 5770: 5720: 5662: 5619: 5589: 5516: 5515:{\displaystyle 10^{n}} 5488: 5431: 5391: 5269: 5100: 4722:duodecimal fractions: 2586:Systems of measurement 2564: 2552:100 to the duodecimal. 2548: 2529:Alexander Craig Aitken 2506: 1942:push-button telephones 1856:∂ based on a pendulum 1578:push-button telephones 1533:for ten and a rounded 738:system, also known as 16:Base-12 numeral system 8530:Zirkel, Gene (2010). 8413:Calcolo Decidozzinale 7769: 5918: 5916:{\displaystyle n^{2}} 5877: 5875:{\displaystyle b^{n}} 5847: 5804: 5771: 5721: 5663: 5620: 5590: 5517: 5489: 5432: 5430:{\displaystyle b^{n}} 5403:th power of the base 5392: 5390:{\displaystyle b^{n}} 5270: 5101: 2686:terminating fractions 2501: 1861:Calcolo Decidozzinale 1537:capital E similar to 847:are integers) have a 799:The number twelve, a 66:Hindu–Arabic numerals 8632:A. C. Aitken (1962) 8319:. Unicode Consortium 8125:Rei, Fukui (2004) . 8094:"Symbology Overview" 8052:Gordon, E V (1957). 7737: 7127:05915343A0B62A68781B 5900: 5859: 5813: 5780: 5730: 5674: 5629: 5602: 5527: 5499: 5445: 5414: 5374: 5241: 5078: 5061:irreducible fraction 1902:(1935), with italic 1766:Origin of Z unknown 1355:Transdecimal symbols 999:Middle Belt such as 595:Prehistoric counting 371:Common radices/bases 53:Place-value notation 8835:"Changing the Base" 8655:on 6 February 2010. 4885:Decimal equivalent 3284:positional notation 2739: 2474:William James Sidis 2056:enal" and "d" for " 1895:, pronounced "elf" 1188: 815:. All multiples of 542:Sign-value notation 8822:"Nature's Numbers" 8618:"Twelves and Tens" 7959:on October 5, 2008 7953:www3.aa.tufs.ac.jp 7832:2;875236069821... 7829:2.718281828459... 7823:, the base of the 7813:3;184809493B91... 7810:3.141592653589... 7779:1;74BB6772802A... 7776:1.618033988749... 7764: 7762: 7723:1;4B79170A07B8... 7720:1.414213562373... 7678:irrational numbers 7672:Irrational numbers 6878:052631578947368421 6252:of the denominator 6239:of the denominator 6166:All other primes: 6079:All other primes: 5937:repeating decimals 5913: 5872: 5842: 5799: 5766: 5716: 5658: 5615: 5585: 5512: 5484: 5427: 5387: 5265: 5096: 5057:recurring decimals 4714:is one fourteenth) 2737: 2545:(January 25, 1962) 2507: 2095:Duodecimal numbers 1886:pronounced "dec"; 1859:Silvio Ferrari in 1654:TURNED DIGIT THREE 1420:TURNED DIGIT THREE 1186: 1027:Germanic languages 198:East Asian systems 8682:978-1-4088-0959-4 8399:978-0-521-68200-8 7836: 7835: 7825:natural logarithm 7761: 7755: 7652:are (in decimal) 7606:are (in decimal) 7600: 7599: 6253: 6240: 6228: 6163: 6150: 6141: 6121: 6076: 6067: 6058: 5824: 5640: 5613: 5053: 5052: 4517: 4516: 3996: 3995: 3368: 3364: 3341: 3335: 3326: 3322: 3307: 3301: 3275: 3274: 2574:Schoolhouse Rock! 2463: 2462: 2290: 2289: 2028: 2027: 1898:Frank Andrews in 1474: 1473: 1447:Isaac Pitman 1320: 1319: 1107:old British pence 1091:Chinese calendars 1041:. They come from 927: (0.8), and 732: 731: 531: 530: 8874: 8848: 8846: 8845: 8829: 8784: 8783: 8781: 8779: 8769: 8760: 8749: 8748: 8738: 8729: 8723: 8722: 8720: 8711: 8705: 8704: 8702: 8693: 8687: 8686: 8663: 8657: 8656: 8645: 8639: 8630: 8624: 8614: 8608: 8605: 8599: 8598: 8596: 8594: 8588: 8579: 8568: 8567: 8557: 8549: 8543: 8542: 8536: 8527: 8518: 8517: 8507: 8498: 8489: 8488: 8486: 8485: 8480: 8472: 8466: 8465: 8459: 8450: 8441: 8440: 8439:. 25 (1). 1974. 8434: 8426: 8417: 8416: 8408: 8402: 8384: 8378: 8377: 8375: 8373: 8357: 8351: 8350: 8348: 8347: 8342: 8334: 8328: 8327: 8325: 8324: 8318: 8310: 8301: 8300: 8298: 8297: 8291: 8282: 8276: 8275: 8265: 8257: 8246: 8237: 8236: 8226: 8218: 8207: 8206: 8200: 8191: 8185: 8184: 8183:. 25 (1). 1974. 8178: 8170: 8164: 8163: 8161: 8151: 8140: 8134: 8123: 8122:(14.0 ed.). 8111: 8105: 8104: 8098: 8089: 8058: 8057: 8049: 8043: 8042: 8034: 8028: 8027: 8019: 8013: 8012: 8010: 8009: 8003: 7997:. Archived from 7986: 7975: 7969: 7968: 7966: 7964: 7955:. Archived from 7944: 7938: 7936: 7915: 7909: 7908: 7896: 7890: 7889: 7887: 7885: 7868: 7822: 7799: 7773: 7771: 7770: 7765: 7763: 7757: 7756: 7751: 7742: 7732: 7715: 7714: 7695: 7662: 7639: 7616: 7593: 7587: 7577: 7571: 7565: 7550: 7544: 7537: 7531: 7525: 7519: 7504: 7498: 7491: 7490:429A708579214B36 7485: 7484:2941176470588235 7479: 7473: 7458: 7452: 7445: 7439: 7433: 7427: 7412: 7399: 7384: 7377: 7371: 7365: 7350: 7344: 7338: 7331: 7325: 7319: 7313: 7307: 7292: 7285: 7279: 7273: 7258: 7252: 7245: 7239: 7233: 7227: 7212: 7202: 7196: 7181: 7175: 7168: 7162: 7156: 7150: 7135: 7128: 7119: 7104: 7098: 7088: 7082: 7076: 7061: 7054: 7048: 7042: 7027: 7021: 7014: 7008: 7002: 6996: 6981: 6975: 6968: 6962: 6956: 6950: 6935: 6929: 6922: 6913: 6907: 6892: 6885: 6879: 6873: 6858: 6852: 6842: 6836: 6830: 6815: 6808: 6807:08579214B36429A7 6802: 6801:0588235294117647 6796: 6781: 6768: 6753: 6747: 6740: 6734: 6728: 6722: 6707: 6701: 6694: 6688: 6682: 6676: 6661: 6654: 6648: 6642: 6627: 6621: 6611: 6605: 6599: 6584: 6577: 6571: 6565: 6550: 6544: 6537: 6528: 6522: 6507: 6497: 6491: 6476: 6463: 6448: 6441: 6435: 6429: 6414: 6408: 6398: 6392: 6386: 6371: 6364: 6355: 6340: 6327: 6312: 6302: 6296: 6281: 6268: 6249: 6236: 6227: 6217: 6207: 6197: 6187: 6177: 6171: 6165: 6162: 6152: 6149: 6143: 6140: 6134: 6128: 6120: 6114: 6108: 6102: 6096: 6090: 6084: 6078: 6075: 6069: 6066: 6060: 6057: 6051: 6045: 6038: 5965:composite number 5927:Recurring digits 5922: 5920: 5919: 5914: 5912: 5911: 5895: 5889: 5881: 5879: 5878: 5873: 5871: 5870: 5851: 5849: 5848: 5843: 5838: 5837: 5825: 5817: 5808: 5806: 5805: 5800: 5792: 5791: 5775: 5773: 5772: 5767: 5725: 5723: 5722: 5717: 5715: 5714: 5702: 5701: 5686: 5685: 5670:For duodecimal, 5667: 5665: 5664: 5659: 5654: 5653: 5641: 5633: 5624: 5622: 5621: 5616: 5614: 5606: 5594: 5592: 5591: 5586: 5584: 5583: 5521: 5519: 5518: 5513: 5511: 5510: 5493: 5491: 5490: 5485: 5483: 5482: 5470: 5469: 5457: 5456: 5436: 5434: 5433: 5428: 5426: 5425: 5408: 5402: 5396: 5394: 5393: 5388: 5386: 5385: 5369: 5363: 5354: 5352: 5351: 5348: 5345: 5338: 5336: 5335: 5332: 5329: 5322: 5320: 5319: 5316: 5313: 5306: 5304: 5303: 5300: 5297: 5290: 5288: 5287: 5284: 5281: 5274: 5272: 5271: 5266: 5233: 5231: 5230: 5227: 5224: 5217: 5215: 5214: 5211: 5208: 5201: 5199: 5198: 5195: 5192: 5185: 5183: 5182: 5179: 5176: 5169: 5167: 5166: 5163: 5160: 5153: 5151: 5150: 5147: 5144: 5137: 5135: 5134: 5131: 5128: 5121: 5119: 5118: 5115: 5112: 5105: 5103: 5102: 5097: 5055:As explained in 5049:22.5 + 7.5 = 30 5046:1A.6 + 7.6 = 26 5040: 5038: 5037: 5034: 5031: 5022: 5020: 5019: 5016: 5013: 5002: 5000: 4999: 4996: 4993: 4984: 4982: 4981: 4978: 4975: 4964: 4962: 4961: 4958: 4955: 4945: 4943: 4942: 4939: 4936: 4924: 4922: 4921: 4918: 4915: 4905: 4903: 4902: 4899: 4896: 4879: 4874: 4870: 4868: 4867: 4864: 4861: 4853:(one fourteenth) 4852: 4848: 4846: 4845: 4842: 4839: 4831:(one thirteenth) 4830: 4826: 4824: 4823: 4820: 4817: 4808: 4804: 4802: 4801: 4798: 4795: 4786: 4782: 4780: 4779: 4776: 4773: 4765: 4761: 4759: 4758: 4755: 4752: 4744: 4740: 4738: 4737: 4734: 4731: 4713: 4711: 4710: 4707: 4704: 4697: 4695: 4694: 4691: 4688: 4679: 4677: 4676: 4673: 4670: 4663: 4661: 4660: 4657: 4654: 4645: 4643: 4642: 4639: 4636: 4627: 4625: 4624: 4621: 4618: 4609: 4607: 4606: 4603: 4600: 4591: 4589: 4588: 4585: 4582: 4573: 4571: 4570: 4567: 4564: 4555: 4553: 4552: 4549: 4546: 4513: 4460: 4407: 4354: 4251: 4198: 4145: 4092: 4003: 3992: 3939: 3892: 3834: 3781: 3678: 3625: 3522: 3469: 3380: 3372: 3366: 3365:12,345.6 equals 3362: 3358: 3354: 3345: 3339: 3333: 3324: 3323:12,345;6 equals 3320: 3305: 3299: 2740: 2688:are those whose 2562: 2546: 2319: 2308:(with syllables 2192: 2173: 2154: 2106: 2016:William Dwiggins 2005: 1996: 1966: 1959: 1951: 1925: 1918: 1812: 1811: 1801: 1800: 1723:music set theory 1666: 1655: 1652: 1649: 1647: 1642: 1641:TURNED DIGIT TWO 1639: 1636: 1634: 1628:Unicode Standard 1621: 1619: 1618: 1613: 1612: 1598: 1596: 1590: 1567: 1565: 1552: 1546: 1528: 1526: 1511: 1509: 1495: 1493: 1483: 1481: 1467: 1465: 1461: 1421: 1418: 1415: 1413: 1407: 1406:TURNED DIGIT TWO 1404: 1401: 1399: 1381: 1378:duodecimal  1372: 1371: 1368: 1365: 1359: 1189: 1095:Earthly Branches 1017:Chepang language 945: 943: 942: 939: 936: 932: 926: 924: 923: 920: 917: 913: 907: 905: 904: 901: 898: 894: 888: 886: 885: 882: 879: 875: 869: 867: 866: 863: 860: 856: 846: 842: 841: 839: 838: 835: 832: 795: 794: 789: 788: 724: 717: 710: 513: 497: 479: 469:balanced ternary 466: 453: 59: 30: 8882: 8881: 8877: 8876: 8875: 8873: 8872: 8871: 8852: 8851: 8843: 8841: 8832: 8819: 8793: 8788: 8787: 8777: 8775: 8767: 8762: 8761: 8752: 8736: 8731: 8730: 8726: 8718: 8713: 8712: 8708: 8700: 8695: 8694: 8690: 8683: 8665: 8664: 8660: 8647: 8646: 8642: 8631: 8627: 8615: 8611: 8606: 8602: 8592: 8590: 8586: 8581: 8580: 8571: 8555: 8551: 8550: 8546: 8534: 8529: 8528: 8521: 8505: 8500: 8499: 8492: 8483: 8481: 8478: 8474: 8473: 8469: 8457: 8455:"Going Classic" 8452: 8451: 8444: 8432: 8428: 8427: 8420: 8410: 8409: 8405: 8387:Arnold Whittall 8385: 8381: 8371: 8369: 8359: 8358: 8354: 8345: 8343: 8340: 8336: 8335: 8331: 8322: 8320: 8316: 8312: 8311: 8304: 8295: 8293: 8289: 8284: 8283: 8279: 8274:(2): 1–5. 1947. 8263: 8259: 8248: 8247: 8240: 8224: 8220: 8219: 8210: 8198: 8196:"Going Classic" 8193: 8192: 8188: 8176: 8172: 8171: 8167: 8153: 8152: 8143: 8133:(1.3 ed.). 8124: 8113: 8112: 8108: 8096: 8091: 8090: 8061: 8051: 8050: 8046: 8036: 8035: 8031: 8021: 8020: 8016: 8007: 8005: 8001: 7995: 7984: 7977: 7976: 7972: 7962: 7960: 7946: 7945: 7941: 7933: 7917: 7916: 7912: 7898: 7897: 7893: 7883: 7881: 7870: 7869: 7865: 7860: 7841: 7818: 7795: 7743: 7735: 7734: 7728: 7712: 7710: 7674: 7658: 7635: 7612: 7589: 7583: 7575: 7567: 7561: 7546: 7540: 7535: 7529: 7521: 7515: 7500: 7494: 7489: 7483: 7475: 7469: 7454: 7448: 7443: 7437: 7429: 7423: 7408: 7395: 7380: 7375: 7370:032258064516129 7369: 7361: 7346: 7340: 7334: 7329: 7323: 7315: 7309: 7303: 7288: 7283: 7277: 7269: 7254: 7248: 7243: 7237: 7229: 7223: 7208: 7200: 7192: 7177: 7171: 7166: 7160: 7152: 7146: 7131: 7126: 7115: 7100: 7094: 7086: 7078: 7072: 7057: 7052: 7046: 7038: 7023: 7017: 7012: 7006: 6998: 6992: 6977: 6971: 6966: 6960: 6952: 6946: 6931: 6925: 6920: 6909: 6903: 6888: 6883: 6877: 6869: 6854: 6848: 6840: 6832: 6826: 6811: 6806: 6800: 6792: 6777: 6764: 6749: 6743: 6738: 6732: 6724: 6718: 6703: 6697: 6692: 6686: 6678: 6672: 6657: 6652: 6646: 6638: 6623: 6617: 6609: 6601: 6595: 6580: 6575: 6569: 6561: 6546: 6540: 6535: 6524: 6518: 6503: 6495: 6487: 6472: 6459: 6444: 6439: 6433: 6425: 6410: 6404: 6396: 6388: 6382: 6367: 6362: 6351: 6336: 6323: 6308: 6300: 6292: 6277: 6264: 6251: 6238: 6224: 6219: 6214: 6209: 6204: 6199: 6194: 6189: 6184: 6179: 6173: 6167: 6164: 6159: 6154: 6151: 6145: 6142: 6136: 6130: 6127: 6125:Duodecimal base 6116: 6110: 6104: 6098: 6092: 6086: 6080: 6077: 6071: 6068: 6062: 6059: 6053: 6047: 6044: 6034: 6030: 6027:1/(2) = 0.03125 6024: 6020: 6014: 6010: 6004: 6000: 5929: 5903: 5898: 5897: 5891: 5884: 5862: 5857: 5856: 5829: 5811: 5810: 5783: 5778: 5777: 5728: 5727: 5706: 5690: 5677: 5672: 5671: 5645: 5627: 5626: 5600: 5599: 5575: 5525: 5524: 5502: 5497: 5496: 5474: 5461: 5448: 5443: 5442: 5417: 5412: 5411: 5404: 5398: 5377: 5372: 5371: 5365: 5359: 5349: 5346: 5343: 5342: 5340: 5333: 5330: 5327: 5326: 5324: 5317: 5314: 5311: 5310: 5308: 5301: 5298: 5295: 5294: 5292: 5285: 5282: 5279: 5278: 5276: 5239: 5238: 5228: 5225: 5222: 5221: 5219: 5212: 5209: 5206: 5205: 5203: 5196: 5193: 5190: 5189: 5187: 5180: 5177: 5174: 5173: 5171: 5164: 5161: 5158: 5157: 5155: 5148: 5145: 5142: 5141: 5139: 5132: 5129: 5126: 5125: 5123: 5116: 5113: 5110: 5109: 5107: 5076: 5075: 5035: 5032: 5029: 5028: 5026: 5017: 5014: 5011: 5010: 5008: 4997: 4994: 4991: 4990: 4988: 4979: 4976: 4973: 4972: 4970: 4959: 4956: 4953: 4952: 4950: 4940: 4937: 4934: 4933: 4931: 4919: 4916: 4913: 4912: 4910: 4900: 4897: 4894: 4893: 4891: 4875:(one fifteenth) 4872: 4865: 4862: 4859: 4858: 4856: 4850: 4843: 4840: 4837: 4836: 4834: 4828: 4821: 4818: 4815: 4814: 4812: 4806: 4799: 4796: 4793: 4792: 4790: 4784: 4777: 4774: 4771: 4770: 4768: 4763: 4756: 4753: 4750: 4749: 4747: 4742: 4735: 4732: 4729: 4728: 4726: 4708: 4705: 4702: 4701: 4699: 4692: 4689: 4686: 4685: 4683: 4674: 4671: 4668: 4667: 4665: 4658: 4655: 4652: 4651: 4649: 4640: 4637: 4634: 4633: 4631: 4622: 4619: 4616: 4615: 4613: 4604: 4601: 4598: 4597: 4595: 4586: 4583: 4580: 4579: 4577: 4568: 4565: 4562: 4561: 4559: 4550: 4547: 4544: 4543: 4541: 4527: 4522: 4511: 4458: 4405: 4352: 4249: 4196: 4143: 4090: 4001: 3990: 3937: 3890: 3832: 3779: 3676: 3623: 3520: 3467: 3378: 3370: 3359: 3356: 3352: 3343: 3337: 3317: 3303: 3280: 2605: 2583: 2569: 2563: 2556: 2547: 2540: 2471: 2343: 2338: 2333: 2328: 2323: 2302: 2130: 2125: 2120: 2115: 2110: 2097: 2089: 2067: 2063: 2051: 2047: 2043: 2039: 2033: 2024: 2006: 1997: 1976: 1967: 1964: 1960: 1957: 1949: 1933: 1926: 1923: 1919: 1916: 1887: 1879: 1872: 1855: 1851: 1846: 1827: 1822: 1803: 1789: 1784: 1763: 1758: 1744: 1736: 1731: 1708: 1703: 1687: 1682: 1653: 1650: 1645: 1644: 1640: 1637: 1632: 1631: 1620: ⟩ 1616: 1615: 1610: 1609: 1608:⟨  1607: 1597: ⟩ 1585:⟨  1584: 1563: 1561: 1548: 1542: 1518: 1516: 1507: 1505: 1491: 1489: 1479: 1477: 1470: 1457: 1456: 1424: 1419: 1416: 1411: 1410: 1405: 1402: 1397: 1396: 1382: 1379: 1369: 1366: 1363: 1362: 1357: 1346:Arabic numerals 1325: 1211:English (Troy) 1193: 1007:(Gure-Kahugu), 989:finger counting 971: 940: 937: 934: 933: 930: 928: 921: 918: 915: 914: 911: 909: 902: 899: 896: 895: 892: 890: 883: 880: 877: 876: 873: 871: 864: 861: 858: 857: 854: 852: 844: 836: 833: 828: 827: 825: 824: 813:abundant number 792: 791: 786: 785: 728: 692: 691: 614: 600:Proto-cuneiform 545: 544: 533: 532: 527: 526: 511: 495: 477: 464: 451: 438: 367: 366: 354: 353: 334: 294: 279: 270: 269: 260: 259: 241: 200: 199: 190: 189: 141: 83: 69: 68: 56: 55: 43:Numeral systems 28: 17: 12: 11: 5: 8880: 8878: 8870: 8869: 8864: 8854: 8853: 8850: 8849: 8830: 8817: 8812: 8811: 8810: 8804: 8792: 8791:External links 8789: 8786: 8785: 8765:"Dozenal FAQs" 8750: 8724: 8706: 8688: 8681: 8669:(2011-04-04). 8658: 8640: 8625: 8609: 8600: 8569: 8544: 8519: 8490: 8467: 8442: 8418: 8403: 8379: 8352: 8329: 8302: 8277: 8238: 8222:"Mo for Megro" 8208: 8186: 8165: 8141: 8106: 8059: 8044: 8029: 8014: 7993: 7970: 7939: 7931: 7919:Ifrah, Georges 7910: 7891: 7862: 7861: 7859: 7856: 7855: 7854: 7848: 7840: 7837: 7834: 7833: 7830: 7827: 7815: 7814: 7811: 7808: 7792: 7791: 7790:In duodecimal 7788: 7785: 7781: 7780: 7777: 7774: 7760: 7754: 7749: 7746: 7725: 7724: 7721: 7718: 7706: 7705: 7704:In duodecimal 7702: 7699: 7690:transcendental 7673: 7670: 7669: 7668: 7646: 7645: 7623: 7622: 7598: 7597: 7594: 7581: 7578: 7572: 7559: 7555: 7554: 7551: 7538: 7532: 7526: 7513: 7509: 7508: 7505: 7492: 7486: 7480: 7467: 7463: 7462: 7459: 7446: 7440: 7434: 7421: 7417: 7416: 7413: 7406: 7403: 7400: 7393: 7389: 7388: 7385: 7378: 7372: 7366: 7359: 7355: 7354: 7351: 7332: 7326: 7320: 7301: 7297: 7296: 7293: 7286: 7280: 7274: 7267: 7263: 7262: 7259: 7246: 7240: 7234: 7221: 7217: 7216: 7213: 7206: 7203: 7197: 7190: 7186: 7185: 7182: 7169: 7163: 7157: 7144: 7140: 7139: 7136: 7129: 7123: 7120: 7113: 7109: 7108: 7105: 7092: 7089: 7083: 7070: 7066: 7065: 7062: 7055: 7049: 7043: 7036: 7032: 7031: 7028: 7015: 7009: 7003: 6990: 6986: 6985: 6982: 6969: 6963: 6957: 6944: 6940: 6939: 6936: 6923: 6917: 6914: 6901: 6897: 6896: 6893: 6886: 6880: 6874: 6867: 6863: 6862: 6859: 6846: 6843: 6837: 6824: 6820: 6819: 6816: 6809: 6803: 6797: 6790: 6786: 6785: 6782: 6775: 6772: 6769: 6762: 6758: 6757: 6754: 6741: 6735: 6729: 6716: 6712: 6711: 6708: 6695: 6689: 6683: 6670: 6666: 6665: 6662: 6655: 6649: 6643: 6636: 6632: 6631: 6628: 6615: 6612: 6606: 6593: 6589: 6588: 6585: 6578: 6572: 6566: 6559: 6555: 6554: 6551: 6538: 6532: 6529: 6516: 6512: 6511: 6508: 6501: 6498: 6492: 6485: 6481: 6480: 6477: 6470: 6467: 6464: 6457: 6453: 6452: 6449: 6442: 6436: 6430: 6423: 6419: 6418: 6415: 6402: 6399: 6393: 6380: 6376: 6375: 6372: 6365: 6359: 6356: 6349: 6345: 6344: 6341: 6334: 6331: 6328: 6321: 6317: 6316: 6313: 6306: 6303: 6297: 6290: 6286: 6285: 6282: 6275: 6272: 6269: 6262: 6258: 6257: 6254: 6247: 6244: 6241: 6234: 6230: 6229: 6222: 6212: 6202: 6192: 6182: 6157: 6122: 6036: 6035: 6032: 6028: 6025: 6022: 6018: 6017:1/(2) = 0.0625 6015: 6012: 6008: 6005: 6002: 5998: 5928: 5925: 5910: 5906: 5869: 5865: 5841: 5836: 5832: 5828: 5823: 5820: 5798: 5795: 5790: 5786: 5765: 5762: 5759: 5756: 5753: 5750: 5747: 5744: 5741: 5738: 5735: 5713: 5709: 5705: 5700: 5697: 5693: 5689: 5684: 5680: 5657: 5652: 5648: 5644: 5639: 5636: 5612: 5609: 5582: 5578: 5574: 5571: 5568: 5565: 5562: 5559: 5556: 5553: 5550: 5547: 5544: 5541: 5538: 5535: 5532: 5509: 5505: 5481: 5477: 5473: 5468: 5464: 5460: 5455: 5451: 5424: 5420: 5384: 5380: 5339:is exact, and 5264: 5261: 5258: 5255: 5252: 5249: 5246: 5095: 5092: 5089: 5086: 5083: 5063:is written in 5059:, whenever an 5051: 5050: 5047: 5043: 5042: 5024: 5005: 5004: 4986: 4967: 4966: 4947: 4927: 4926: 4907: 4887: 4886: 4883: 4877: 4876: 4854: 4832: 4810: 4809:(one eleventh) 4788: 4766: 4745: 4716: 4715: 4681: 4647: 4629: 4611: 4593: 4575: 4557: 4526: 4523: 4521: 4518: 4515: 4514: 4508: 4503: 4500: 4495: 4492: 4487: 4484: 4479: 4476: 4471: 4468: 4462: 4461: 4455: 4450: 4447: 4442: 4439: 4434: 4431: 4426: 4423: 4418: 4415: 4409: 4408: 4402: 4397: 4394: 4389: 4386: 4381: 4378: 4373: 4370: 4365: 4362: 4356: 4355: 4349: 4344: 4341: 4336: 4333: 4328: 4325: 4320: 4317: 4312: 4309: 4303: 4302: 4299: 4294: 4291: 4286: 4283: 4278: 4275: 4270: 4267: 4262: 4259: 4253: 4252: 4246: 4241: 4238: 4233: 4230: 4225: 4222: 4217: 4214: 4209: 4206: 4200: 4199: 4193: 4188: 4185: 4180: 4177: 4172: 4169: 4164: 4161: 4156: 4153: 4147: 4146: 4140: 4135: 4132: 4127: 4124: 4119: 4116: 4111: 4108: 4103: 4100: 4094: 4093: 4087: 4082: 4079: 4074: 4071: 4066: 4063: 4058: 4055: 4050: 4047: 4041: 4040: 4037: 4034: 4031: 4028: 4025: 4022: 4019: 4016: 4013: 4010: 4007: 4000: 3997: 3994: 3993: 3987: 3982: 3979: 3974: 3971: 3966: 3963: 3958: 3955: 3950: 3947: 3941: 3940: 3934: 3929: 3926: 3921: 3918: 3913: 3910: 3905: 3902: 3897: 3894: 3886: 3885: 3882: 3877: 3874: 3869: 3866: 3861: 3858: 3853: 3850: 3845: 3842: 3836: 3835: 3829: 3824: 3821: 3816: 3813: 3808: 3805: 3800: 3797: 3792: 3789: 3783: 3782: 3776: 3771: 3768: 3763: 3760: 3755: 3752: 3747: 3744: 3739: 3736: 3730: 3729: 3726: 3721: 3718: 3713: 3710: 3705: 3702: 3697: 3694: 3689: 3686: 3680: 3679: 3673: 3668: 3665: 3660: 3657: 3652: 3649: 3644: 3641: 3636: 3633: 3627: 3626: 3620: 3615: 3612: 3607: 3604: 3599: 3596: 3591: 3588: 3583: 3580: 3574: 3573: 3570: 3565: 3562: 3557: 3554: 3549: 3546: 3541: 3538: 3533: 3530: 3524: 3523: 3517: 3512: 3509: 3504: 3501: 3496: 3493: 3488: 3485: 3480: 3477: 3471: 3470: 3464: 3459: 3456: 3451: 3448: 3443: 3440: 3435: 3432: 3427: 3424: 3418: 3417: 3414: 3411: 3408: 3405: 3402: 3399: 3396: 3393: 3390: 3387: 3384: 3377: 3374: 3350: 3314: 3310: 3309: 3292: 3291: 3279: 3276: 3273: 3272: 3269: 3266: 3263: 3260: 3257: 3254: 3251: 3248: 3245: 3242: 3239: 3236: 3232: 3231: 3228: 3225: 3222: 3219: 3216: 3213: 3210: 3207: 3204: 3201: 3198: 3195: 3191: 3190: 3187: 3184: 3181: 3178: 3175: 3172: 3169: 3166: 3163: 3160: 3157: 3154: 3150: 3149: 3146: 3143: 3140: 3137: 3134: 3131: 3128: 3125: 3122: 3119: 3116: 3113: 3109: 3108: 3105: 3102: 3099: 3096: 3093: 3090: 3087: 3084: 3081: 3078: 3075: 3072: 3068: 3067: 3064: 3061: 3058: 3055: 3052: 3049: 3046: 3043: 3040: 3037: 3034: 3031: 3027: 3026: 3023: 3020: 3017: 3014: 3011: 3008: 3005: 3002: 2999: 2996: 2993: 2990: 2986: 2985: 2982: 2979: 2976: 2973: 2970: 2967: 2964: 2961: 2958: 2955: 2952: 2949: 2945: 2944: 2941: 2938: 2935: 2932: 2929: 2926: 2923: 2920: 2917: 2914: 2911: 2908: 2904: 2903: 2900: 2897: 2894: 2891: 2888: 2885: 2882: 2879: 2876: 2873: 2870: 2867: 2863: 2862: 2859: 2856: 2853: 2850: 2847: 2844: 2841: 2838: 2835: 2832: 2829: 2826: 2822: 2821: 2818: 2815: 2812: 2809: 2806: 2803: 2800: 2797: 2794: 2791: 2788: 2785: 2781: 2780: 2777: 2774: 2771: 2768: 2765: 2762: 2759: 2756: 2753: 2750: 2747: 2744: 2612: 2611: 2604: 2601: 2600: 2599: 2596: 2593: 2582: 2579: 2568: 2565: 2557:A. C. Aitken, 2554: 2538: 2470: 2467: 2461: 2460: 2457: 2454: 2451: 2448: 2444: 2443: 2440: 2437: 2434: 2431: 2427: 2426: 2423: 2420: 2417: 2414: 2410: 2409: 2406: 2403: 2400: 2397: 2393: 2392: 2389: 2386: 2383: 2380: 2376: 2375: 2372: 2369: 2366: 2363: 2359: 2358: 2356: 2353: 2350: 2346: 2345: 2340: 2335: 2330: 2325: 2301: 2298: 2288: 2287: 2284: 2281: 2278: 2275: 2271: 2270: 2267: 2264: 2261: 2258: 2254: 2253: 2250: 2247: 2244: 2241: 2237: 2236: 2233: 2230: 2227: 2224: 2220: 2219: 2216: 2213: 2210: 2207: 2203: 2202: 2199: 2196: 2193: 2188: 2184: 2183: 2180: 2177: 2174: 2169: 2165: 2164: 2161: 2158: 2155: 2150: 2146: 2145: 2143: 2140: 2137: 2133: 2132: 2127: 2122: 2117: 2112: 2096: 2093: 2088: 2085: 2065: 2061: 2049: 2045: 2041: 2037: 2032: 2029: 2026: 2025: 2023: 2022: 2019: 2012: 2010: 2007: 2000: 1998: 1991: 1988: 1987: 1977: 1975: 1974: 1970: 1968: 1963: 1961: 1956: 1953: 1952: 1938: 1937:or octothorpe 1927: 1922: 1920: 1915: 1912: 1911: 1896: 1880: 1875: 1873: 1868: 1865: 1864: 1857: 1852: 1849: 1847: 1844: 1841: 1840: 1838: 1828: 1825: 1823: 1820: 1817: 1816: 1814: 1790: 1787: 1785: 1782: 1779: 1778: 1769:Attributed to 1767: 1764: 1761: 1759: 1756: 1753: 1752: 1750: 1737: 1734: 1732: 1729: 1726: 1725: 1719: 1709: 1706: 1704: 1701: 1698: 1697: 1694: 1688: 1685: 1683: 1680: 1677: 1676: 1673: 1670: 1472: 1471: 1469: 1468: 1464:\textturnthree 1449: 1442: 1439: 1438: 1434: 1433: 1426: 1425: 1423: 1422: 1408: 1393: 1391: 1384: 1383: 1377: 1374: 1373: 1356: 1353: 1324: 1321: 1318: 1317: 1312: 1307: 1302: 1297: 1293: 1292: 1286: 1280: 1275: 1270: 1266: 1265: 1260: 1255: 1250: 1245: 1241: 1240: 1235: 1230: 1225: 1220: 1216: 1215: 1212: 1209: 1206: 1202: 1201: 1198: 1195: 1173:pound sterling 1165:United Kingdom 1157:decimalisation 1073:Historically, 1043:Proto-Germanic 982: 981: 970: 967: 751:numeral system 730: 729: 727: 726: 719: 712: 704: 701: 700: 694: 693: 690: 689: 684: 679: 674: 669: 664: 659: 654: 653: 652: 647: 642: 632: 627: 621: 620: 613: 612: 607: 602: 597: 592: 587: 582: 577: 572: 567: 562: 557: 551: 550: 549:Non-alphabetic 546: 540: 539: 538: 535: 534: 529: 528: 525: 524: 519: 506: 490: 485: 472: 459: 445: 444: 437: 436: 429: 424: 419: 414: 409: 404: 399: 394: 389: 384: 379: 373: 372: 368: 361: 360: 359: 356: 355: 352: 351: 345: 339: 338: 333: 332: 327: 322: 317: 312: 307: 301: 300: 298:Post-classical 293: 292: 286: 285: 278: 277: 271: 267: 266: 265: 262: 261: 258: 257: 252: 246: 245: 240: 239: 234: 229: 224: 219: 218: 217: 206: 205: 201: 197: 196: 195: 192: 191: 188: 187: 182: 177: 172: 167: 162: 157: 152: 147: 140: 139: 134: 129: 124: 119: 114: 109: 104: 99: 94: 89: 82: 81: 79:Eastern Arabic 76: 74:Western Arabic 70: 64: 63: 62: 57: 51: 50: 49: 46: 45: 39: 38: 15: 13: 10: 9: 6: 4: 3: 2: 8879: 8868: 8865: 8863: 8860: 8859: 8857: 8840: 8836: 8831: 8827: 8823: 8818: 8816: 8813: 8808: 8805: 8803: 8800: 8799: 8798: 8795: 8794: 8790: 8773: 8766: 8759: 8757: 8755: 8751: 8746: 8742: 8735: 8732:Volan, John. 8728: 8725: 8717: 8710: 8707: 8699: 8692: 8689: 8684: 8678: 8674: 8673: 8668: 8662: 8659: 8654: 8650: 8644: 8641: 8637: 8636: 8629: 8626: 8622: 8619: 8613: 8610: 8604: 8601: 8585: 8578: 8576: 8574: 8570: 8565: 8561: 8554: 8548: 8545: 8540: 8533: 8526: 8524: 8520: 8515: 8511: 8504: 8497: 8495: 8491: 8477: 8471: 8468: 8463: 8456: 8449: 8447: 8443: 8438: 8431: 8425: 8423: 8419: 8414: 8407: 8404: 8400: 8396: 8392: 8388: 8383: 8380: 8367: 8363: 8356: 8353: 8339: 8333: 8330: 8315: 8309: 8307: 8303: 8288: 8281: 8278: 8273: 8269: 8262: 8258:Reprinted as 8255: 8251: 8250:Pitman, Isaac 8245: 8243: 8239: 8234: 8230: 8223: 8217: 8215: 8213: 8209: 8204: 8197: 8190: 8187: 8182: 8175: 8169: 8166: 8162:. p. 52. 8160: 8159: 8150: 8148: 8146: 8142: 8138: 8132: 8128: 8121: 8117: 8110: 8107: 8102: 8095: 8088: 8086: 8084: 8082: 8080: 8078: 8076: 8074: 8072: 8070: 8068: 8066: 8064: 8060: 8055: 8048: 8045: 8040: 8033: 8030: 8025: 8018: 8015: 8004:on 2016-03-28 8000: 7996: 7994:90-429-1295-2 7990: 7983: 7982: 7974: 7971: 7958: 7954: 7950: 7943: 7940: 7934: 7932:0-471-39340-1 7928: 7924: 7920: 7914: 7911: 7906: 7902: 7895: 7892: 7880: 7879: 7874: 7867: 7864: 7857: 7852: 7849: 7846: 7843: 7842: 7838: 7831: 7828: 7826: 7821: 7817: 7816: 7812: 7809: 7807: 7803: 7802:circumference 7798: 7794: 7793: 7789: 7786: 7783: 7782: 7778: 7775: 7758: 7752: 7747: 7744: 7731: 7727: 7726: 7722: 7719: 7716: 7708: 7707: 7703: 7700: 7697: 7696: 7693: 7691: 7687: 7683: 7679: 7671: 7666: 7661: 7655: 7654: 7653: 7651: 7643: 7638: 7632: 7631: 7630: 7628: 7620: 7615: 7609: 7608: 7607: 7605: 7595: 7592: 7586: 7582: 7579: 7573: 7570: 7564: 7560: 7557: 7556: 7552: 7549: 7543: 7539: 7533: 7527: 7524: 7518: 7514: 7511: 7510: 7506: 7503: 7497: 7493: 7487: 7481: 7478: 7472: 7468: 7465: 7464: 7460: 7457: 7451: 7447: 7441: 7435: 7432: 7426: 7422: 7419: 7418: 7414: 7411: 7407: 7404: 7401: 7398: 7394: 7391: 7390: 7386: 7383: 7379: 7373: 7367: 7364: 7360: 7357: 7356: 7352: 7349: 7343: 7337: 7333: 7327: 7321: 7318: 7312: 7306: 7302: 7299: 7298: 7294: 7291: 7287: 7281: 7275: 7272: 7268: 7265: 7264: 7260: 7257: 7251: 7247: 7241: 7235: 7232: 7226: 7222: 7219: 7218: 7214: 7211: 7207: 7204: 7198: 7195: 7191: 7188: 7187: 7183: 7180: 7174: 7170: 7164: 7158: 7155: 7149: 7145: 7142: 7141: 7137: 7134: 7130: 7124: 7121: 7118: 7114: 7111: 7110: 7106: 7103: 7097: 7093: 7090: 7084: 7081: 7075: 7071: 7068: 7067: 7063: 7060: 7056: 7050: 7044: 7041: 7037: 7034: 7033: 7029: 7026: 7020: 7016: 7010: 7004: 7001: 6995: 6991: 6988: 6987: 6983: 6980: 6974: 6970: 6964: 6958: 6955: 6949: 6945: 6942: 6941: 6937: 6934: 6928: 6924: 6918: 6915: 6912: 6906: 6902: 6899: 6898: 6894: 6891: 6887: 6881: 6875: 6872: 6868: 6865: 6864: 6860: 6857: 6851: 6847: 6844: 6838: 6835: 6829: 6825: 6822: 6821: 6817: 6814: 6810: 6804: 6798: 6795: 6791: 6788: 6787: 6783: 6780: 6776: 6773: 6770: 6767: 6763: 6760: 6759: 6755: 6752: 6746: 6742: 6736: 6730: 6727: 6721: 6717: 6714: 6713: 6709: 6706: 6700: 6696: 6690: 6684: 6681: 6675: 6671: 6668: 6667: 6663: 6660: 6656: 6650: 6644: 6641: 6637: 6634: 6633: 6629: 6626: 6620: 6616: 6613: 6607: 6604: 6598: 6594: 6591: 6590: 6586: 6583: 6579: 6573: 6567: 6564: 6560: 6557: 6556: 6552: 6549: 6543: 6539: 6533: 6530: 6527: 6521: 6517: 6514: 6513: 6509: 6506: 6502: 6499: 6493: 6490: 6486: 6483: 6482: 6478: 6475: 6471: 6468: 6465: 6462: 6458: 6455: 6454: 6450: 6447: 6443: 6437: 6431: 6428: 6424: 6421: 6420: 6416: 6413: 6407: 6403: 6400: 6394: 6391: 6385: 6381: 6378: 6377: 6373: 6370: 6366: 6360: 6357: 6354: 6350: 6347: 6346: 6342: 6339: 6335: 6332: 6329: 6326: 6322: 6319: 6318: 6314: 6311: 6307: 6304: 6298: 6295: 6291: 6288: 6287: 6283: 6280: 6276: 6273: 6270: 6267: 6263: 6260: 6259: 6255: 6250:Prime factors 6248: 6245: 6242: 6237:Prime factors 6235: 6232: 6231: 6226: 6216: 6206: 6196: 6186: 6176: 6170: 6161: 6148: 6139: 6133: 6126: 6119: 6113: 6107: 6101: 6095: 6089: 6083: 6074: 6065: 6056: 6050: 6043: 6039: 6026: 6016: 6007:1/(2) = 0.125 6006: 5996: 5995: 5994: 5992: 5991:powers of two 5988: 5983: 5981: 5977: 5973: 5969: 5966: 5962: 5959:(eleven) and 5958: 5954: 5953:prime numbers 5950: 5946: 5941: 5938: 5934: 5926: 5924: 5908: 5904: 5894: 5887: 5882: 5867: 5863: 5852: 5839: 5834: 5830: 5826: 5821: 5818: 5796: 5793: 5788: 5784: 5760: 5757: 5754: 5745: 5742: 5739: 5736: 5711: 5707: 5703: 5698: 5695: 5691: 5687: 5682: 5678: 5668: 5655: 5650: 5646: 5642: 5637: 5634: 5610: 5607: 5596: 5580: 5572: 5569: 5566: 5560: 5554: 5551: 5548: 5539: 5536: 5533: 5522: 5507: 5503: 5479: 5475: 5471: 5466: 5462: 5458: 5453: 5449: 5441:For decimal, 5439: 5437: 5422: 5418: 5407: 5401: 5382: 5378: 5368: 5362: 5356: 5262: 5259: 5256: 5253: 5250: 5247: 5244: 5235: 5186: =  5154: =  5122: =  5093: 5090: 5087: 5084: 5081: 5072: 5070: 5069:prime factors 5066: 5062: 5058: 5048: 5045: 5044: 5025: 5007: 5006: 4987: 4969: 4968: 4948: 4929: 4928: 4908: 4889: 4888: 4884: 4881: 4880: 4855: 4833: 4811: 4789: 4767: 4746: 4725: 4724: 4723: 4721: 4682: 4680:is one tenth) 4648: 4630: 4612: 4594: 4576: 4558: 4540: 4539: 4538: 4536: 4532: 4524: 4519: 4509: 4507: 4504: 4501: 4499: 4496: 4493: 4491: 4488: 4485: 4483: 4480: 4477: 4475: 4472: 4469: 4467: 4464: 4463: 4456: 4454: 4451: 4448: 4446: 4443: 4440: 4438: 4435: 4432: 4430: 4427: 4424: 4422: 4419: 4416: 4414: 4411: 4410: 4403: 4401: 4398: 4395: 4393: 4390: 4387: 4385: 4382: 4379: 4377: 4374: 4371: 4369: 4366: 4363: 4361: 4358: 4357: 4350: 4348: 4345: 4342: 4340: 4337: 4334: 4332: 4329: 4326: 4324: 4321: 4318: 4316: 4313: 4310: 4308: 4305: 4304: 4300: 4298: 4295: 4292: 4290: 4287: 4284: 4282: 4279: 4276: 4274: 4271: 4268: 4266: 4263: 4260: 4258: 4255: 4254: 4247: 4245: 4242: 4239: 4237: 4234: 4231: 4229: 4226: 4223: 4221: 4218: 4215: 4213: 4210: 4207: 4205: 4202: 4201: 4194: 4192: 4189: 4186: 4184: 4181: 4178: 4176: 4173: 4170: 4168: 4165: 4162: 4160: 4157: 4154: 4152: 4149: 4148: 4141: 4139: 4136: 4133: 4131: 4128: 4125: 4123: 4120: 4117: 4115: 4112: 4109: 4107: 4104: 4101: 4099: 4096: 4095: 4088: 4086: 4083: 4080: 4078: 4075: 4072: 4070: 4067: 4064: 4062: 4059: 4056: 4054: 4051: 4048: 4046: 4043: 4042: 4038: 4035: 4032: 4029: 4026: 4023: 4020: 4017: 4014: 4011: 4008: 4005: 4004: 3998: 3988: 3986: 3983: 3980: 3978: 3975: 3972: 3970: 3967: 3964: 3962: 3959: 3956: 3954: 3951: 3948: 3946: 3943: 3942: 3935: 3933: 3930: 3927: 3925: 3922: 3919: 3917: 3914: 3911: 3909: 3906: 3903: 3901: 3898: 3895: 3893: 3888: 3887: 3883: 3881: 3878: 3875: 3873: 3870: 3867: 3865: 3862: 3859: 3857: 3854: 3851: 3849: 3846: 3843: 3841: 3838: 3837: 3830: 3828: 3825: 3822: 3820: 3817: 3814: 3812: 3809: 3806: 3804: 3801: 3798: 3796: 3793: 3790: 3788: 3785: 3784: 3777: 3775: 3772: 3769: 3767: 3764: 3761: 3759: 3756: 3753: 3751: 3748: 3745: 3743: 3740: 3737: 3735: 3732: 3731: 3727: 3725: 3722: 3719: 3717: 3714: 3711: 3709: 3706: 3703: 3701: 3698: 3695: 3693: 3690: 3687: 3685: 3682: 3681: 3674: 3672: 3669: 3666: 3664: 3661: 3658: 3656: 3653: 3650: 3648: 3645: 3642: 3640: 3637: 3634: 3632: 3629: 3628: 3621: 3619: 3616: 3613: 3611: 3608: 3605: 3603: 3600: 3597: 3595: 3592: 3589: 3587: 3584: 3581: 3579: 3576: 3575: 3571: 3569: 3566: 3563: 3561: 3558: 3555: 3553: 3550: 3547: 3545: 3542: 3539: 3537: 3534: 3531: 3529: 3526: 3525: 3518: 3516: 3513: 3510: 3508: 3505: 3502: 3500: 3497: 3494: 3492: 3489: 3486: 3484: 3481: 3478: 3476: 3473: 3472: 3465: 3463: 3460: 3457: 3455: 3452: 3449: 3447: 3444: 3441: 3439: 3436: 3433: 3431: 3428: 3425: 3423: 3420: 3419: 3415: 3412: 3409: 3406: 3403: 3400: 3397: 3394: 3391: 3388: 3385: 3382: 3381: 3375: 3373: 3349: 3346: 3331: 3328: 3313: 3298: 3297: 3296: 3289: 3288: 3287: 3285: 3277: 3270: 3267: 3264: 3261: 3258: 3255: 3252: 3249: 3246: 3243: 3240: 3237: 3234: 3233: 3229: 3226: 3223: 3220: 3217: 3214: 3211: 3208: 3205: 3202: 3199: 3196: 3193: 3192: 3188: 3185: 3182: 3179: 3176: 3173: 3170: 3167: 3164: 3161: 3158: 3155: 3152: 3151: 3147: 3144: 3141: 3138: 3135: 3132: 3129: 3126: 3123: 3120: 3117: 3114: 3111: 3110: 3106: 3103: 3100: 3097: 3094: 3091: 3088: 3085: 3082: 3079: 3076: 3073: 3070: 3069: 3065: 3062: 3059: 3056: 3053: 3050: 3047: 3044: 3041: 3038: 3035: 3032: 3029: 3028: 3024: 3021: 3018: 3015: 3012: 3009: 3006: 3003: 3000: 2997: 2994: 2991: 2988: 2987: 2983: 2980: 2977: 2974: 2971: 2968: 2965: 2962: 2959: 2956: 2953: 2950: 2947: 2946: 2942: 2939: 2936: 2933: 2930: 2927: 2924: 2921: 2918: 2915: 2912: 2909: 2906: 2905: 2901: 2898: 2895: 2892: 2889: 2886: 2883: 2880: 2877: 2874: 2871: 2868: 2865: 2864: 2860: 2857: 2854: 2851: 2848: 2845: 2842: 2839: 2836: 2833: 2830: 2827: 2824: 2823: 2819: 2816: 2813: 2810: 2807: 2804: 2801: 2798: 2795: 2792: 2789: 2786: 2783: 2782: 2778: 2775: 2772: 2769: 2766: 2763: 2760: 2757: 2754: 2751: 2748: 2745: 2742: 2741: 2735: 2734: 2730: 2727: 2725: 2721: 2717: 2713: 2709: 2705: 2701: 2697: 2695: 2691: 2687: 2683: 2679: 2675: 2671: 2667: 2665: 2661: 2657: 2653: 2649: 2645: 2641: 2637: 2633: 2629: 2625: 2621: 2616: 2610: 2607: 2606: 2602: 2597: 2594: 2591: 2590: 2589: 2587: 2580: 2578: 2576: 2575: 2566: 2560: 2553: 2544: 2537: 2532: 2530: 2525: 2523: 2519: 2518: 2513: 2505: 2500: 2496: 2494: 2490: 2486: 2481: 2479: 2475: 2468: 2466: 2458: 2455: 2452: 2449: 2446: 2445: 2441: 2438: 2435: 2432: 2429: 2428: 2424: 2421: 2418: 2415: 2412: 2411: 2407: 2404: 2401: 2398: 2395: 2394: 2390: 2387: 2384: 2381: 2378: 2377: 2373: 2370: 2367: 2364: 2361: 2360: 2354: 2351: 2348: 2347: 2341: 2336: 2331: 2326: 2321: 2320: 2317: 2315: 2311: 2307: 2299: 2297: 2293: 2285: 2283:0;000,000,01 2282: 2279: 2276: 2274:100,000,000; 2273: 2272: 2268: 2265: 2262: 2259: 2256: 2255: 2251: 2248: 2245: 2242: 2239: 2238: 2234: 2231: 2228: 2225: 2222: 2221: 2217: 2214: 2211: 2208: 2205: 2204: 2200: 2197: 2194: 2189: 2186: 2185: 2181: 2178: 2175: 2170: 2167: 2166: 2162: 2159: 2156: 2151: 2148: 2147: 2141: 2138: 2135: 2134: 2128: 2123: 2118: 2113: 2108: 2107: 2104: 2102: 2094: 2092: 2087:Pronunciation 2086: 2084: 2082: 2081:decimal point 2079:instead of a 2078: 2074: 2069: 2059: 2055: 2031:Base notation 2030: 2020: 2018:(1945/1932?). 2017: 2014: 2013: 2011: 2008: 2004: 1999: 1995: 1990: 1989: 1985: 1981: 1978: 1972: 1971: 1969: 1962: 1955: 1954: 1947: 1943: 1939: 1936: 1931: 1928: 1921: 1914: 1913: 1909: 1905: 1901: 1897: 1894: 1891: 1885: 1881: 1878: 1874: 1871: 1867: 1866: 1862: 1858: 1853: 1848: 1843: 1842: 1839: 1837: 1833: 1829: 1824: 1819: 1818: 1815: 1806: 1795: 1791: 1786: 1781: 1780: 1776: 1772: 1768: 1765: 1760: 1755: 1754: 1751: 1748: 1742: 1741:Roman numeral 1738: 1733: 1728: 1727: 1724: 1720: 1718: 1714: 1710: 1705: 1700: 1699: 1695: 1693: 1689: 1684: 1679: 1678: 1674: 1671: 1667: 1664: 1661: 1659: 1629: 1625: 1604: 1602: 1595: 1589: 1581: 1579: 1575: 1571: 1559: 1554: 1551: 1545: 1540: 1536: 1532: 1531:Roman numeral 1525: 1521: 1515: 1503: 1499: 1496:(initials of 1487: 1454: 1450: 1448: 1444: 1443: 1440: 1435: 1432: 1427: 1409: 1395: 1394: 1392: 1390: 1385: 1375: 1360: 1354: 1352: 1349: 1347: 1342: 1338: 1334: 1330: 1322: 1316: 1313: 1311: 1308: 1306: 1303: 1301: 1298: 1295: 1294: 1291: 1287: 1285: 1281: 1279: 1276: 1274: 1271: 1268: 1267: 1264: 1261: 1259: 1256: 1254: 1251: 1249: 1246: 1243: 1242: 1239: 1236: 1234: 1231: 1229: 1226: 1224: 1221: 1218: 1217: 1213: 1210: 1207: 1204: 1203: 1190: 1184: 1182: 1178: 1174: 1170: 1166: 1162: 1158: 1154: 1150: 1149: 1144: 1140: 1136: 1132: 1128: 1124: 1120: 1116: 1112: 1108: 1104: 1100: 1097:or 24 (12×2) 1096: 1092: 1088: 1084: 1080: 1079:civilizations 1076: 1075:units of time 1071: 1069: 1064: 1060: 1056: 1052: 1048: 1044: 1040: 1036: 1032: 1028: 1024: 1022: 1018: 1014: 1010: 1006: 1002: 998: 993: 990: 986: 985:Georges Ifrah 980: 978: 973: 972: 968: 966: 964: 960: 956: 952: 947: 908: (0.6), 889: (0.4), 870: (0.3), 850: 831: 822: 818: 814: 810: 806: 802: 797: 783: 778: 776: 772: 768: 764: 760: 756: 752: 749: 745: 741: 737: 725: 720: 718: 713: 711: 706: 705: 703: 702: 699: 696: 695: 688: 685: 683: 680: 678: 675: 673: 670: 668: 665: 663: 660: 658: 655: 651: 648: 646: 643: 641: 638: 637: 636: 635:Alphasyllabic 633: 631: 628: 626: 623: 622: 619: 616: 615: 611: 608: 606: 603: 601: 598: 596: 593: 591: 588: 586: 583: 581: 578: 576: 573: 571: 568: 566: 563: 561: 558: 556: 553: 552: 548: 547: 543: 537: 536: 523: 520: 517: 510: 507: 504: 503: 494: 491: 489: 486: 483: 476: 473: 470: 463: 460: 457: 450: 447: 446: 443: 440: 439: 434: 430: 428: 425: 423: 420: 418: 415: 413: 410: 408: 405: 403: 400: 398: 395: 393: 390: 388: 385: 383: 380: 378: 375: 374: 370: 369: 365: 358: 357: 349: 346: 344: 341: 340: 336: 335: 331: 328: 326: 323: 321: 318: 316: 313: 311: 308: 306: 303: 302: 299: 296: 295: 291: 288: 287: 284: 281: 280: 276: 273: 272: 268:Other systems 264: 263: 256: 253: 251: 250:Counting rods 248: 247: 243: 242: 238: 235: 233: 230: 228: 225: 223: 220: 216: 213: 212: 211: 208: 207: 203: 202: 194: 193: 186: 183: 181: 178: 176: 173: 171: 168: 166: 163: 161: 158: 156: 153: 151: 148: 146: 143: 142: 138: 135: 133: 130: 128: 125: 123: 120: 118: 115: 113: 110: 108: 105: 103: 100: 98: 95: 93: 90: 88: 85: 84: 80: 77: 75: 72: 71: 67: 61: 60: 54: 48: 47: 44: 40: 36: 32: 31: 26: 22: 8842:. Retrieved 8838: 8825: 8778:November 20, 8776:. Retrieved 8771: 8744: 8740: 8727: 8709: 8691: 8671: 8667:Bellos, Alex 8661: 8653:the original 8643: 8634: 8628: 8621:The Listener 8620: 8612: 8603: 8591:. Retrieved 8563: 8559: 8547: 8538: 8513: 8509: 8482:. Retrieved 8470: 8461: 8436: 8415:. p. 2. 8412: 8406: 8390: 8382: 8370:. Retrieved 8365: 8355: 8344:. Retrieved 8332: 8321:. Retrieved 8294:. Retrieved 8280: 8271: 8267: 8253: 8232: 8228: 8202: 8189: 8180: 8168: 8157: 8136: 8130: 8119: 8109: 8100: 8053: 8047: 8038: 8032: 8023: 8017: 8006:. Retrieved 7999:the original 7981:La Pluralité 7980: 7973: 7961:. Retrieved 7957:the original 7952: 7942: 7922: 7913: 7904: 7900: 7894: 7884:December 21, 7882:. Retrieved 7876: 7866: 7675: 7649: 7647: 7626: 7624: 7603: 7601: 7590: 7584: 7568: 7562: 7547: 7541: 7536:0414559B3931 7522: 7516: 7501: 7495: 7476: 7470: 7455: 7449: 7430: 7424: 7409: 7396: 7381: 7362: 7347: 7341: 7335: 7316: 7310: 7304: 7289: 7270: 7255: 7249: 7230: 7224: 7209: 7193: 7178: 7172: 7153: 7147: 7132: 7116: 7101: 7095: 7079: 7073: 7058: 7039: 7024: 7018: 6999: 6993: 6978: 6972: 6953: 6947: 6932: 6926: 6910: 6904: 6889: 6870: 6855: 6849: 6833: 6827: 6812: 6793: 6778: 6765: 6750: 6744: 6725: 6719: 6704: 6698: 6679: 6673: 6658: 6639: 6624: 6618: 6602: 6596: 6581: 6562: 6547: 6541: 6525: 6519: 6504: 6488: 6473: 6460: 6445: 6426: 6411: 6405: 6389: 6383: 6368: 6352: 6337: 6324: 6309: 6293: 6278: 6265: 6220: 6210: 6200: 6190: 6180: 6174: 6168: 6155: 6146: 6137: 6131: 6124: 6117: 6111: 6105: 6099: 6093: 6087: 6081: 6072: 6063: 6054: 6048: 6042:Decimal base 6041: 5997:1/(2) = 0.25 5984: 5944: 5942: 5930: 5892: 5885: 5855: 5853: 5669: 5597: 5495: 5440: 5410: 5405: 5399: 5366: 5364:, in a base 5360: 5357: 5236: 5073: 5054: 4717: 4528: 4505: 4497: 4489: 4481: 4473: 4465: 4452: 4444: 4436: 4428: 4420: 4412: 4399: 4391: 4383: 4375: 4367: 4359: 4346: 4338: 4330: 4322: 4314: 4306: 4296: 4288: 4280: 4272: 4264: 4256: 4243: 4235: 4227: 4219: 4211: 4203: 4190: 4182: 4174: 4166: 4158: 4150: 4137: 4129: 4121: 4113: 4105: 4097: 4084: 4076: 4068: 4060: 4052: 4044: 3984: 3976: 3968: 3960: 3952: 3944: 3931: 3923: 3915: 3907: 3899: 3889: 3879: 3871: 3863: 3855: 3847: 3839: 3826: 3818: 3810: 3802: 3794: 3786: 3773: 3765: 3757: 3749: 3741: 3733: 3723: 3715: 3707: 3699: 3691: 3683: 3670: 3662: 3654: 3646: 3638: 3630: 3617: 3609: 3601: 3593: 3585: 3577: 3567: 3559: 3551: 3543: 3535: 3527: 3514: 3506: 3498: 3490: 3482: 3474: 3461: 3453: 3445: 3437: 3429: 3421: 3367:(duodecimal) 3360: 3347: 3340:(duodecimal) 3332: 3329: 3321:(duodecimal) 3318: 3311: 3300:(duodecimal) 3293: 3281: 2732: 2731: 2728: 2698: 2694:power of two 2668: 2617: 2613: 2608: 2584: 2572: 2570: 2558: 2550: 2543:The Listener 2542: 2534: 2526: 2521: 2515: 2511: 2508: 2504:musical keys 2492: 2488: 2484: 2482: 2472: 2464: 2313: 2309: 2303: 2294: 2291: 2280:429,981,696 2266:0;000,000,1 2257:10,000,000; 2100: 2098: 2090: 2072: 2070: 2060:ecimal", "54 2057: 2053: 2034: 1980:Isaac Pitman 1945: 1907: 1903: 1899: 1892: 1883: 1876: 1869: 1860: 1777:by the DSA. 1746: 1716: 1712: 1711:Initials of 1662: 1624:Isaac Pitman 1605: 1582: 1557: 1555: 1549: 1543: 1523: 1519: 1513: 1501: 1497: 1475: 1460:\textturntwo 1431:Number Forms 1350: 1340: 1336: 1332: 1328: 1326: 1152: 1146: 1072: 1068:long hundred 1058: 1054: 1050: 1046: 1034: 1030: 1025: 1005:Gbiri-Niragu 994: 983: 974: 948: 829: 798: 779: 743: 739: 735: 733: 501: 462:Signed-digit 411: 337:Contemporary 204:Contemporary 8867:12 (number) 8807:"Resources" 8772:dozenal.org 8747:(1): 38–60. 7851:Sexagesimal 7787:In decimal 7701:In decimal 7053:06316948421 5726:. This has 5197:(2×2×5×5×5) 5065:radix point 4787:(one tenth) 4529:Duodecimal 4039:Duodecimal 2712:Babylonians 2704:Sexagesimal 2690:denominator 2684:, the only 2682:hexadecimal 2447:1,000,000; 2337:Duodecimal 2322:Duodecimal 2286:egro-bi-mo 2263:35,831,808 2240:1,000,000; 2124:Duodecimal 2109:Duodecimal 1984:Unicode 8.0 1900:New Numbers 1739:X from the 1692:hexadecimal 1672:Background 1658:Unicode 8.0 1514:New Numbers 1486:hexadecimal 1181:Charlemagne 1177:Irish pound 1131:great gross 1129:of 12), or 1099:Solar terms 1087:Babylonians 959:Sexagesimal 955:hexadecimal 849:terminating 817:reciprocals 782:hexadecimal 740:base twelve 640:Akṣarapallī 610:Tally marks 509:Non-integer 8856:Categories 8844:2018-07-17 8541:. 4E (2). 8484:2014-07-18 8464:. 49 (2). 8372:January 1, 8346:2014-07-18 8323:2016-05-30 8296:2024-06-25 8235:(1). 1945. 8205:. 49 (2). 8103:. 4X (2). 8008:2014-03-27 7858:References 5888:= 10 or 12 5291:is exact; 2724:primorials 2478:Vendergood 2456:0;000,001 2453:2,985,984 2277:gro-bi-mo 2269:edo-bi-mo 2249:0;000,001 2246:2,985,984 1771:D'Alembert 1015:; and the 809:subitizing 748:positional 736:duodecimal 677:Glagolitic 650:Kaṭapayādi 618:Alphabetic 522:Asymmetric 364:radix/base 305:Cistercian 290:Babylonian 237:Vietnamese 92:Devanagari 8839:quadibloc 7925:. Wiley. 7921:(2000) . 7853:(base 60) 7847:(base 20) 7845:Vigesimal 7686:algebraic 6256:Fraction 6233:Fraction 5704:× 5472:× 5254:× 5248:× 5085:× 4720:recurring 4531:fractions 4525:Fractions 3363:(decimal) 3361:That is, 3334:(decimal) 3327:24,677.5 3325:(decimal) 3319:That is, 3306:(decimal) 2708:Sumerians 2439:0;000,01 2430:100,000; 2342:Fraction 2260:do-bi-mo 2232:0;000,01 2223:100,000; 2129:Fraction 2077:semicolon 1950:1974–2008 1813:"eleven" 1169:vigesimal 1063:Old Norse 823:numbers ( 765:; in the 645:Āryabhaṭa 590:Kharosthi 482:factorial 449:Bijective 350:(Iñupiaq) 180:Sundanese 175:Mongolian 122:Malayalam 25:Duodecimo 8826:Earth360 8593:27 April 7907:(1): 97. 7839:See also 7806:diameter 7402:0.03125 5972:rounding 5933:division 5237:Because 5074:Because 4925:= 0.625 4535:3-smooth 3949:228,096 3896:207,360 3844:186,624 3791:165,888 3738:145,152 3688:124,416 3635:103,680 2567:In media 2555:—  2539:—  2522:duodecim 2512:douzaine 2442:pentcia 2436:248,832 2433:pentqua 2425:quadcia 2422:0;000,1 2416:quadqua 2413:10,000; 2339:fraction 2332:Decimal 2235:egro-mo 2229:248,832 2215:0;000,1 2206:10,000; 2126:fraction 2119:Decimal 1888:rounded 1863:(1854). 1669:Symbols 1660:(2015). 1651:↋ 1638:↊ 1566:⟩ 1562:⟨ 1527:⟩ 1517:⟨ 1510:⟩ 1506:⟨ 1494:⟩ 1490:⟨ 1482:⟩ 1478:⟨ 1466:⟩ 1458:⟨ 1417:↋ 1403:↊ 1387:In  1290:scrupula 1284:scruples 1208:English 1192:Relative 1163:and the 1111:shilling 1077:in many 1059:two left 1055:one left 1013:Gwandara 997:Nigerian 963:5-smooth 821:3-smooth 672:Georgian 662:Cyrillic 630:Armenian 585:Etruscan 580:Egyptian 488:Negative 348:Kaktovik 343:Cherokee 320:Pentadic 244:Historic 227:Japanese 160:Javanese 150:Balinese 137:Dzongkha 102:Gurmukhi 97:Gujarati 35:a series 33:Part of 7963:May 29, 7878:Gizmodo 7804:to its 7711:√ 7663:in the 7660:A252170 7640:in the 7637:A246489 7617:in the 7614:A246004 6771:0.0625 6221:27 (=31 6211:25 (=29 6201:1B (=23 6191:17 (=19 6181:15 (=17 6156:11 (=13 6031:= 0.046 5353:⁠ 5341:⁠ 5337:⁠ 5325:⁠ 5321:⁠ 5309:⁠ 5305:⁠ 5293:⁠ 5289:⁠ 5277:⁠ 5232:⁠ 5220:⁠ 5216:⁠ 5204:⁠ 5200:⁠ 5188:⁠ 5184:⁠ 5172:⁠ 5168:⁠ 5165:(2×2×5) 5156:⁠ 5152:⁠ 5140:⁠ 5136:⁠ 5133:(2×2×2) 5124:⁠ 5120:⁠ 5108:⁠ 5039:⁠ 5027:⁠ 5021:⁠ 5009:⁠ 5001:⁠ 4989:⁠ 4983:⁠ 4971:⁠ 4963:⁠ 4951:⁠ 4944:⁠ 4932:⁠ 4923:⁠ 4911:⁠ 4906:= 0.76 4904:⁠ 4892:⁠ 4869:⁠ 4857:⁠ 4847:⁠ 4835:⁠ 4825:⁠ 4813:⁠ 4803:⁠ 4791:⁠ 4781:⁠ 4769:⁠ 4760:⁠ 4748:⁠ 4739:⁠ 4727:⁠ 4712:⁠ 4700:⁠ 4696:⁠ 4684:⁠ 4678:⁠ 4666:⁠ 4662:⁠ 4650:⁠ 4644:⁠ 4632:⁠ 4626:⁠ 4614:⁠ 4608:⁠ 4596:⁠ 4590:⁠ 4578:⁠ 4572:⁠ 4560:⁠ 4554:⁠ 4542:⁠ 4470:44,100 4417:3A,368 4364:34,614 4311:2A,880 4261:24,B28 4208:1B,194 4155:15,440 3957:19,008 3904:17,280 3852:15,552 3799:13,824 3746:12,096 3696:10,368 3582:82,944 3532:62,208 3479:41,472 3426:20,736 2674:Sixteen 2459:hexcia 2450:hexqua 2419:20,736 2408:tricia 2399:triqua 2396:1,000; 2327:Number 2252:ebi-mo 2226:gro-mo 2218:edo-mo 2212:20,736 2187:1,000; 2114:Number 1986:(2015) 1930:sextile 1882:italic 1836:epsilon 1805:epsilon 1802:"ten"; 1745:E from 1570:sextile 1560:used a 1484:(as in 1389:Unicode 1315:siliqua 1205:French 1200:Weight 1197:Length 1179:), and 1161:Ireland 1039:English 977:decimal 944:⁠ 929:⁠ 925:⁠ 910:⁠ 906:⁠ 891:⁠ 887:⁠ 872:⁠ 868:⁠ 853:⁠ 840:⁠ 826:⁠ 805:factors 771:squared 767:decimal 757:as its 746:, is a 744:dozenal 575:Chuvash 493:Complex 283:Ancient 275:History 222:Hokkien 210:Chinese 155:Burmese 145:Tibetan 132:Kannada 112:Sinhala 87:Bengali 8679:  8401:(pbk). 8397:  7991:  7929:  7682:repeat 7530:285714 7405:0;046 7244:5186A3 7238:571428 7205:0;054 7161:384615 6967:6A3518 6961:047619 6884:076B45 6693:A35186 6687:714285 6647:076923 6466:0.125 6440:186A35 6434:142857 6021:= 0.09 6011:= 0.16 5397:, the 5170:, and 4949:144 × 4930:100 × 4851:A35186 4764:186A35 4646:= 0;14 4628:= 0;16 4478:5,260 4466:90,000 4425:4,768 4413:80,000 4372:4,074 4360:70,000 4319:3,580 4307:60,000 4269:2,A88 4257:50,000 4216:2,394 4204:40,000 4163:1,8A0 4151:30,000 4110:1,1A8 4102:B,6A8 4098:20,000 4049:5,954 4045:10,000 4033:Duod. 4027:Duod. 4021:Duod. 4015:Duod. 4009:Duod. 3965:1,584 3945:B0,000 3912:1,440 3891:A0,000 3860:1,296 3840:90,000 3807:1,152 3787:80,000 3754:1,008 3734:70,000 3684:60,000 3643:8,640 3631:50,000 3590:6,912 3578:40,000 3540:5,184 3528:30,000 3487:3,456 3475:20,000 3434:1,728 3422:10,000 3413:Duod. 3407:Duod. 3401:Duod. 3395:Duod. 3389:Duod. 3383:Duod. 3369:7,189; 2700:Thirty 2664:senary 2658:, and 2638:, and 2561:(1962) 2489:either 2405:0;001 2402:1,728 2391:bicia 2382:biqua 2374:uncia 2365:unqua 2334:number 2324:number 2243:bi-mo 2209:do-mo 2198:0;001 2195:1,728 2121:number 2111:number 2046:twelve 1890:italic 1830:Greek 1810:ένδεκα 1792:Greek 1775:Buffon 1773:& 1747:Eleven 1717:Eleven 1690:As in 1648: 1646:U+218B 1635: 1633:U+218A 1539:open E 1535:italic 1502:Eleven 1429:Block 1414: 1412:U+218B 1400: 1398:U+218A 1367:  1214:Roman 1194:value 1155:. Pre- 1127:square 1083:zodiac 1051:twalif 1047:ainlif 1035:twelve 1031:eleven 969:Origin 843:where 755:twelve 753:using 687:Hebrew 657:Coptic 570:Brahmi 555:Aegean 512:  496:  478:  465:  452:  315:Muisca 255:Tangut 232:Korean 215:Suzhou 127:Telugu 8768:(PDF) 8737:(PDF) 8719:(PDF) 8701:(PDF) 8587:(PDF) 8556:(PDF) 8535:(PDF) 8506:(PDF) 8479:(PDF) 8458:(PDF) 8433:(PDF) 8341:(PDF) 8317:(PDF) 8290:(PDF) 8264:(PDF) 8225:(PDF) 8199:(PDF) 8177:(PDF) 8097:(PDF) 8002:(PDF) 7985:(PDF) 7596:1/30 7580:0;04 7558:1/36 7553:1/2B 7512:1/35 7507:1/2A 7466:1/34 7461:1/29 7420:1/33 7415:1/28 7392:1/32 7387:1/27 7358:1/31 7353:1/26 7300:1/30 7295:1/25 7266:1/29 7261:1/24 7220:1/28 7215:1/23 7189:1/27 7184:1/22 7143:1/26 7138:1/21 7122:0.04 7112:1/25 7107:1/20 7091:0;06 7085:0.041 7069:1/24 7064:1/1B 7035:1/23 7030:1/1A 6989:1/22 6984:1/19 6943:1/21 6938:1/18 6916:0.05 6900:1/20 6895:1/17 6866:1/19 6861:1/16 6845:0;08 6823:1/18 6818:1/15 6789:1/17 6784:1/14 6774:0;09 6761:1/16 6756:1/13 6715:1/15 6710:1/12 6669:1/14 6664:1/11 6635:1/13 6630:1/10 6592:1/12 6558:1/11 6515:1/10 6500:0;14 6469:0;16 6330:0.25 6001:= 0.3 5647:0.625 5041:= 64 5023:= 54 5003:= 90 4985:= 76 4965:= 90 4946:= 76 4871:= 0;0 4849:= 0;0 4783:= 0;1 4610:= 0;2 4592:= 0;3 4574:= 0;4 4556:= 0;6 4474:9,000 4421:8,000 4368:7,000 4315:6,000 4265:5,000 4212:4,000 4159:3,000 4106:2,000 4053:1,000 4036:Dec. 4030:Dec. 4024:Dec. 4018:Dec. 4012:Dec. 4006:Dec. 3953:B,000 3900:A,000 3884:0.75 3848:9,000 3795:8,000 3742:7,000 3692:6,000 3639:5,000 3586:4,000 3572:0.25 3536:3,000 3483:2,000 3430:1,000 3416:Dec. 3410:Dec. 3404:Dec. 3398:Dec. 3392:Dec. 3386:Dec. 2716:sixty 2692:is a 2678:octal 2670:Eight 2644:prime 2517:douze 2388:0;01 2379:100; 2344:name 2182:egro 2179:0;01 2168:100; 2131:name 1807:from 1796:from 1794:delta 1675:Note 1488:) or 1453:LaTeX 1305:point 1300:point 1273:ligne 1263:uncia 1258:ounce 1248:pouce 1238:libra 1233:pound 1148:ounce 1143:uncia 1119:gross 1115:dozen 1109:in a 1049:and * 1021:Nepal 1001:Janji 951:octal 845:a,b,c 775:cubed 763:units 682:Greek 667:Geʽez 625:Abjad 605:Roman 565:Aztec 560:Attic 475:Mixed 433:table 325:Quipu 310:Mayan 165:Khmer 117:Tamil 8780:2022 8677:ISBN 8595:2018 8566:(1). 8395:ISBN 8374:2018 7989:ISBN 7965:2011 7927:ISBN 7886:2013 7688:and 7665:OEIS 7642:OEIS 7619:OEIS 7574:0.02 7330:4972 7284:04B7 7236:0.03 6921:7249 6739:9724 6614:0;1 6608:0.08 6587:1/B 6553:1/A 6536:2497 6531:0.1 6510:1/9 6484:1/9 6479:1/8 6456:1/8 6451:1/7 6422:1/7 6417:1/6 6401:0;2 6379:1/6 6374:1/5 6363:2497 6358:0.2 6348:1/5 6343:1/4 6333:0;3 6320:1/4 6315:1/3 6305:0;4 6289:1/3 6284:1/2 6274:0;6 6271:0.5 6261:1/2 5883:for 5831:0.76 5307:and 5218:and 4909:1 × 4890:1 × 4873:9724 4827:= 0; 4805:= 0; 4785:2497 4762:= 0; 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Index

Dewey Decimal Classification
Duodecimo
a series
Numeral systems
Place-value notation
Hindu–Arabic numerals
Western Arabic
Eastern Arabic
Bengali
Devanagari
Gujarati
Gurmukhi
Odia
Sinhala
Tamil
Malayalam
Telugu
Kannada
Dzongkha
Tibetan
Balinese
Burmese
Javanese
Khmer
Lao
Mongolian
Sundanese
Thai
Chinese
Suzhou

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