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Unity (mathematics)

← 0 1 2 →
−1 0 1 2 3 4 5 6 7 8 9
Cardinal one
Ordinal 1st
(first)
Numeral system unary
Factorization
Divisors 1
Roman numeral I
Roman numeral (unicode) Ⅰ, ⅰ
Greek prefix /
Latin prefix
Binary 12
Ternary 13
Quaternary 14
Quinary 15
Senary 16
Octal 18
Duodecimal 112
Hexadecimal 116
Vigesimal 120
Base 36 136
Greek numeral α'
Persian ١
Arabic & Kurdish ١
Urdu ۱
Sindhi ١
Bengali & Assamese
Chinese numeral 一,弌,壹
Devanāgarī (ek)
Ge'ez
Georgian Ⴁ/ⴁ/ბ(Bani)
Hebrew א
Kannada
Khmer
Korean 일, 하나
Malayalam
Thai

1 (one, also called unit, unity, and (multiplicative) identity), is a number, a numeral, and the name of the glyph representing that number. It represents a single entity, the unit of counting or measurement. For example, a line segment of unit length is a line segment of length 1. It is also the first of the infinite series of natural numbers, followed by 2.

The word one can be used as a noun, an adjective and a pronoun.

It comes from the English word an, which comes from the Proto-Germanic root *ainaz. The Proto-Germanic root *ainaz comes from the Proto-Indo-European root *oi-no-.

Compare the Proto-Germanic root *ainaz to Old Frisian an, Gothic ains, Danish een, Dutch een, German eins and Old Norse einn.

Compare the Proto-Indo-European root *oi-no- (which means one, single) to Greek oinos (which means "ace" on dice), Latin unus (one), Old Persian aivam, Old Church Slavonic -inu and ino-, Lithuanian vienas, Old Irish oin and Breton un (one).

One, sometimes referred to as unity, is the first non-zero natural number. It is thus the integer before two and after zero, and the first positive odd number.


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