10
{{Hatnote|This article is about the number. For the years, see 10 BC and AD 10. For other uses, see Ten (disambiguation).}}
{{Redirect|10th|other uses|Tenth (disambiguation)}}
{{Infobox number
| number = 10
| numeral = decimal
| divisor = 1, 2, 5, 10
| roman unicode = X, x
| latin prefix = deci-
|lang1 = Chinese numeral
|lang1 symbol= 十,拾
|lang2 = Hebrew
|lang2 symbol= י (Yod)
|lang3 = Khmer
|lang3 symbol= ១០
|lang4=Armenian|lang4 symbol=Ժ|lang5 = Tamil
|lang5 symbol= ௰
|lang6 = Thai
|lang6 symbol= ๑๐
|lang7 = Devanāgarī
|lang7 symbol= १०
|lang8 = Santali
|lang8 symbol= ᱑᱐
|lang9 = Bengali
|lang9 symbol= ১০
|lang10 = Arabic & Kurdish & Iranian
|lang10 symbol= ١٠
|lang11=Malayalam
|lang11 symbol=൰
|lang12=Egyptian hieroglyph|lang12 symbol=𓎆|lang13=Babylonian numeral|lang13 symbol=𒌋}}
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
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 and ten toes, which people may have used to count by.
Linguistics
- 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
- 10 is a composite number, the second squarefree semiprime, the fourth triangular number, and a happy number.{{Cite web |last=Weisstein |first=Eric W. |title=Happy Number |url=https://mathworld.wolfram.com/HappyNumber.html#:~:text=The%20first%20few%20happy%20numbers,97,%20100,%20... |access-date=2025-04-25 |website=mathworld.wolfram.com |language=en}}
- 10 is the smallest noncototient number.{{Cite web|author=
N. J. A. Sloane|author-link=Neil Sloane|url=https://oeis.org/A005278|title=A005278: Noncototients|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-06-01}}
- There are exactly 10 small Pisot numbers that do not exceed the golden ratio.{{cite book | author=M.J. Bertin |author2=A. Decomps-Guilloux |author3=M. Grandet-Hugot |author4=M. Pathiaux-Delefosse |author5=J.P. Schreiber | title=Pisot and Salem Numbers | publisher=Birkhäuser | year=1992 | isbn=3-7643-2648-4 }}
= Decagon =
{{main|Decagon}}
A ten sided polygon is called a decagon.
= List of basic calculations =
class="wikitable" style="text-align: center; background: white"
! style="width:105px;" |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 |
class="wikitable" style="text-align: center; background: white"
! style="width:105px;" |Division !1 !2 !3 !4 !5 !6 !7 !8 !9 !10 !11 !12 !13 !14 !15 |
10 ÷ x
|10 |5 |3.{{overline|3}} |2.5 |2 |1.{{overline|6}} |1.{{overline|428571}} |1.25 |1.{{overline|1}} |1 |0.{{overline|90}} |0.8{{overline|3}} |0.{{overline|769230}} |0.{{overline|714285}} |0.{{overline|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 |
class="wikitable" style="text-align: center; background: white"
! style="width:105px;" |Exponentiation !1 !2 !3 !4 !5 !6 !7 !8 !9 !10 |
10{{sup|x}}
|10 |100 |1000 |10000000000 |
x{{sup|10}}
|1 |1024 |59049 |1048576 |9765625 |60466176 |282475249 |1073741824 |3486784401 |10000000000 |
Science
- 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).
- The 10th element of the periodic table is neon.
- The 10th transition metal is zinc.
Mysticism
In Pythagoreanism, the number 10 played an important role and was symbolized by the tetractys.
See also
- {{Portal-inline|Mathematics}}
- List of highways numbered 10
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Notes
{{Notelist}}
References
{{Reflist}}
External links
{{Commons category}}
{{Wiktionary|ten}}
{{Integers|zero}}
{{Authority control}}
{{DEFAULTSORT:10 (Number)}}