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

| greek prefix = deca-/deka-

| 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

|10000

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

|10000

|100000

|1000000

|10000000

|100000000

|1000000000

|10000000000

x{{sup|10}}

|1

|1024

|59049

|1048576

|9765625

|60466176

|282475249

|1073741824

|3486784401

|10000000000

Science

Mysticism

Image:Tetractys.svg]]

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

See also

{{clear right}}

Notes

{{Notelist}}

References

{{Reflist}}