10 (ten) is an even natural number following 9 and preceding 11. Ten is the base of the decimal numeral system, by far the most common system of denoting numbers in both spoken and written language. It is the first double-digit number. The reason for the choice of ten is assumed to be that humans have ten fingers (digits).
| ||||
---|---|---|---|---|
Cardinal | ten | |||
Ordinal | 10th (tenth) | |||
Numeral system | decimal | |||
Factorization | 2 × 5 | |||
Divisors | 1, 2, 5, 10 | |||
Greek numeral | Ι´ | |||
Roman numeral | X | |||
Roman numeral (unicode) | X, x | |||
Greek prefix | deca-/deka- | |||
Latin prefix | deci- | |||
Binary | 1010_{2} | |||
Ternary | 101_{3} | |||
Senary | 14_{6} | |||
Octal | 12_{8} | |||
Duodecimal | A_{12} | |||
Hexadecimal | A_{16} | |||
Chinese numeral | 十，拾 | |||
Hebrew | י (Yod) | |||
Khmer | ១០ | |||
Tamil | ௰ | |||
Thai | ๑๐ | |||
Devanāgarī | १० | |||
Bengali | ১০ | |||
Arabic & Kurdish | ١٠ | |||
Malayalam | ൰ |
As is the case for any base in its system, ten is the first two-digit number in decimal and thus the lowest number where the position of a numeral affects its value. Any integer written in the decimal system can be multiplied by ten by adding a zero to the end (e.g. 855 × 10 = 8550).
The Roman numeral for ten is X (which looks like two Vs [the Roman numeral for 5] put together); it is thought that the V for five is derived from an open hand (five digits displayed), and X for ten from both hands. Incidentally, the Chinese word numeral for ten, is also a cross: 十.
The digit '1' followed by '0' is how the value of p is written in base p. (E.g. 16 in hexadecimal is 10.)
Base | Numeral system | Number |
---|---|---|
1 | unary | ********** |
2 | binary | 1010 |
3 | ternary | 101 |
4 | quaternary | 22 |
5 | quinary | 20 |
6 | senary | 14 |
7 | septenary | 13 |
8 | octal | 12 |
9 | novenary | 11 |
10 | decimal | 10 |
12 | duodecimal | X |
16 | hexadecimal | A |
Multiplication | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 | 25 | 26 | 50 | 100 | 1000 | |||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
10 × x | 10 | 20 | 30 | 40 | 50 | 60 | 70 | 80 | 90 | 100 | 110 | 120 | 130 | 140 | 150 | 160 | 170 | 180 | 190 | 200 | 210 | 220 | 230 | 240 | 250 | 260 | 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 | 1.2 | 1.3 | 1.4 | 1.5 |
Exponentiation | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
---|---|---|---|---|---|---|---|---|---|---|
10^{x} | 10 | 100 | 1000 | 10000 | 100000 | 1000000 | 10000000 | 100000000 | 1000000000 | 10000000000 |
x^{10} | 1 | 1024 | 59049 | 1048576 | 9765625 | 60466176 | 282475249 | 1073741824 | 3486784401 |
The SI prefix for 10 is "deca-".
The meaning "10" is part of the following terms:
Also, the number 10 plays a role in the following:
The metric system is based on the number 10, so converting units is done by adding or removing zeros (e.g. 1 centimeter = 10 millimeters, 1 decimeter = 10 centimeters, 1 meter = 100 centimeters, 1 dekameter = 10 meters, 1 kilometer = 1,000 meters).
Most countries issue coins and bills with a denomination of 10 (See e.g. 10 dollar note). Of these, the U.S. dime, with the value of ten cents, or one tenth of a dollar, derives its name from the meaning "one-tenth" − see Dime (United States coin)#Denomination history and etymology.