10

Template:Redir-dist Template:Infobox number 10 (ten) is the even natural number following 9 and preceding 11. Ten is the base of decimal numeral systems, the most common systems for denoting numbers in both spoken and written language.

The English name for the number "ten" originates from the Proto-Germanic root "*tehun", which in turn comes from the Proto-Indo-European root "*dekm-". This root is the source of similar words for "ten" in many other Germanic languages, like Dutch, German, and Swedish. The widespread use of decimal systems is believed to be because 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 form is tenth. The adjectives decimal and denary refer to systems or quantities based on ten. * 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

The tetractys

As the base of the decimal numeral system, powers of ten are used to express orders of magnitude and form the basis of common scientific notation.

• 10 is a composite number and a happy number.
• 10 is the smallest noncototient number.
• Ten is the fourth triangular number and the third tetrahedral number:

$$10=1+2+3+4=(\genfrac{}{}{0ex}{}{5}{2})=(\genfrac{}{}{0ex}{}{5}{3}).$$

This representation underlies the tetractys, a triangular figure of ten points important in Pythagoreanism.

• A ten sided polygon is called a decagon.

List of basic calculations

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