142.857 (angka): Perbedaan antara revisi

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{{Underlinked|date=Desember 2022}}
{{Infobox number
 
| number = 142857
 
| <!--divisor= 1, 3, 9, 11, 13, 27, 37, dan 142857-->
 
}}
'''142857''' adalah enam digit berulang dari '''1/7''', '''0,142857''', dan merupakan nomor[[bilangan siklik]] dalam bilangan basis 10 yang paling terkenal.<ref>[http://www.daviddarling.info/encyclopedia/C/cyclic_number.html "Cyclic number"] {{Webarchive|url=https://web.archive.org/web/20070929122525/http://www.daviddarling.info/encyclopedia/C/cyclic_number.html |date=2007-09-29 }}, ''The Internet Encyclopedia of Science''</ref><ref>Michael W. Ecker, [http://links.jstor.org/sici?sici=0049-4925(198303)14%3A2%3C105%3ATALOCN%3E2.0.CO%3B2-Y "The Alluring Lore of Cyclic Numbers"], ''The Two-Year College Mathematics Journal'', Vol.14, No.2 (March 1983), pp.105-109</ref><ref>[http://planetmath.org/encyclopedia/CyclicNumber.html Cyclic number] {{Webarchive|url=https://web.archive.org/web/20070714114415/http://planetmath.org/encyclopedia/CyclicNumber.html |date=2007-07-14 }}, PlanetMath</ref><ref>{{cite web |url=http://findarticles.com/p/articles/mi_hb4870/is_200508/ai_n17913296 |title=Go figure (cyclic numbers) |author=Hogan, Kathryn |publisher=''Australian Doctor'' |year=2005 |month=August |archiveurl=httphttps://web.archive.org/web/20071224191059/http://findarticles.com/p/articles/mi_hb4870/is_200508/ai_n17913296 |archivedate=2007-12-24 December|access-date=2011-02-26 |dead-url=no 2007}}</ref> Jika dikalikan dengan 2, 3, 4, 5 atau 6, jawabannya akan menjadi permutasi siklis dari dirinya sendiri, dan sesuai dengan digit pengulangan '''2/7''', '''3/7''', '''4/7''', '''5/7''' atau '''6/7''', masing-masing.
 
== ReferensiKalkuasi ==
: 1 × 142,857 = 142,857
{{references}}
: 2 × 142,857 = 285,714
: 3 × 142,857 = 428,571
: 4 × 142,857 = 571,428
: 5 × 142,857 = 714,285
: 6 × 142,857 = 857,142
: 7 × 142,857 = 999,999
 
; Representasi desimal
{{matematika-stub}}
: {{sfrac|1|7}} = 0.{{overline|142857}}
: {{sfrac|2|7}} = 0.{{overline|285714}}
: {{sfrac|3|7}} = 0.{{overline|428571}}
: {{sfrac|4|7}} = 0.{{overline|571428}}
: {{sfrac|5|7}} = 0.{{overline|714285}}
: {{sfrac|6|7}} = 0.{{overline|857142}}
: {{sfrac|7|7}} = [[0.999...|0.{{overline|999999}}]] = 1
 
== Referensi ==
{{reflist}}
 
[[Kategori:Bilangan rasional]]
[[Kategori:Bilangan bulat]]
 
[[Kategori:Bilangan cacah]]
 
[[Kategori:Bilangan asli]]
 
 
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