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10

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← 9 10 11 →
Cardinalten
Ordinal10th
(tenth)
Numeral systemdecimal
Factorization2 × 5
Divisors1, 2, 5, 10
Greek numeralΙ´
Roman numeralX, x
Roman numeral (unicode)X, x
Greek prefixdeca-/deka-
Latin prefixdeci-
Binary10102
Ternary1013
Senary146
Octal128
DuodecimalA12
HexadecimalA16
Chinese numeral十,拾
Hebrewי (Yod)
Khmer១០
ArmenianԺ
Tamil
Thai๑๐
Devanāgarī१०
Santali᱑᱐
Bengali১০
Arabic & Kurdish & Iranian١٠
Malayalam
Egyptian hieroglyph𓎆
Babylonian numeral𒌋

10 (ten) is the even natural number following 9 and preceding 11. Ten is the base of the decimal numeral system, the most common system of denoting numbers in both spoken and written language.

Name

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The number "ten" originates from the Proto-Germanic root "*tehun", which in turn comes from the Proto-Indo-European root "*dekm-", meaning "ten". This root is the source of similar words for "ten" in many other Germanic languages, like Dutch, German, and Swedish. The use of "ten" in the decimal system is likely due to the fact that humans have ten fingers, which people may have used to count by.

Linguistics

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  • A collection of ten items (most often ten years) is called a decade.
  • The ordinal adjective is decimal; the distributive adjective is denary.
  • Increasing a quantity by one order of magnitude is most widely understood to mean multiplying the quantity by ten.
  • To reduce something by one tenth is to decimate. (In ancient Rome, the killing of one in ten soldiers in a cohort was the punishment for cowardice or mutiny; or, one-tenth of the able-bodied men in a village as a form of retribution, thus causing a labor shortage and threat of starvation in agrarian societies.)

Mathematics

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Ten is the smallest noncototient number.[1] There are exactly 10 small Pisot numbers that do not exceed the golden ratio.[2]

Decagon

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A ten sided polygon is called a decagon.

List of basic calculations

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Multiplication 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 20 25 50 100 1000
10 × x 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 200 250 500 1000 10000
Division 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
10 ÷ x 10 5 3.3 2.5 2 1.6 1.428571 1.25 1.1 1 0.90 0.83 0.769230 0.714285 0.6
x ÷ 10 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1.1 1.2 1.3 1.4 1.5
Exponentiation 1 2 3 4 5 6 7 8 9 10
10x 10 100 1000 10000 100000 1000000 10000000 100000000 1000000000 10000000000
x10 1 1024 59049 1048576 9765625 60466176 282475249 1073741824 3486784401 10000000000

Science

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The metric system is based on the number 10, so converting units is done by adding or removing zeros (e.g. 1 centimetre = 10 millimetres, 1 decimetre = 10 centimetres, 1 meter = 100 centimetres, 1 dekametre = 10 meters, 1 kilometre = 1,000 meters).

Mysticism

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The tetractys

In Pythagoreanism, the number 10 played an important role and was symbolized by the tetractys.

See also

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Notes

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References

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  1. ^ N. J. A. Sloane. "A005278: Noncototients". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-01.
  2. ^ M.J. Bertin; A. Decomps-Guilloux; M. Grandet-Hugot; M. Pathiaux-Delefosse; J.P. Schreiber (1992). Pisot and Salem Numbers. Birkhäuser. ISBN 3-7643-2648-4.
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