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← 0 1 2 →
−1 0 1 2 3 4 5 6 7 8 9 → List of numbers — Integers ← 0 10 20 30 40 50 60 70 80 90 →
Cardinal one
Ordinal 1st
(first)
Numeral system unary
Factorization 1
Divisors 1
Roman numeral I
Roman numeral (unicode) Ⅰ, ⅰ
Greek prefix mono- /haplo-
Latin prefix uni-
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
Sindhi ١
Bengali & Assamese
Chinese numeral 一,弌,壹
Devanāgarī १ (ek)
Ge'ez
Georgian Ⴁ/ⴁ/ბ(Bani)
Hebrew א
Kannada
Khmer
Korean 일, 하나
Malayalam
Thai

1oneunitunity(multiplicative) identity

Etymology[edit]

one

an*ainaz*ainaz*oi-no-

*ainazanainseeneeneinseinn

*oi-no-oinosunusaivam-inuino-vienasoinun

As a number[edit]

unity

As a digit[edit]

I

Mathematics[edit]

Mathematically, 1 is:

  • in arithmetic (algebra) and calculus, the natural number that follows 0 and precedes 2 and the multiplicative identity element of the integers, real numbers and complex numbers;
  • more generally, in algebra, the multiplicative identity (also called unity), usually of a group or a ring.

Formalizations of the natural numbers have their own representations of 1:

  • in the Peano axioms, 1 is the successor of 0;
  • in Principia Mathematica, 1 is defined as the set of all singletons (sets with one element);
  • in the Von Neumann cardinal assignment of natural numbers, 1 is defined as the set {0}.

(−1)6 × 123 × 22,

One is the only positive integer divisible by exactly one positive integer (whereas prime numbers are divisible by exactly two positive integers, composite numbers are divisible by more than two positive integers, and zero is divisible by all positive integers). One was formerly considered prime by some mathematicians, using the definition that a prime is divisible only by one and itself. However, this complicates the fundamental theorem of arithmetic, so modern definitions exclude units.

2/32/51/31/15

Table of basic calculations[edit]

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 50 100 1000
1 × x 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 50 100 1000
Division 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
1 ÷ x 1 0.5 0.3 0.25 0.2 0.16 0.142857 0.125 0.1 0.1 0.09 0.083 0.076923 0.0714285 0.06
x ÷ 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Exponentiation 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
1x 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
x1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

In technology[edit]

  • The resin identification code used in recycling to identify polyethylene terephthalate.[4]
  • the ITU country code for the North American Numbering Plan area, which includes the United States, Canada, and parts of the Caribbean
  • A binary code is a sequence of 1 and 0 that is used in computers for representing any kind of data.
  • In many physical devices, 1 represents the value for "on", which means that electricity is flowing.[5][6]
  • The numerical value of true in many programming languages.

In science[edit]

  • 1 is the atomic number of hydrogen, and the atomic mass of its most common isotope.
  • 1 is the ASCII code of "Start of Header".
  • 1 is the electric charge of positrons and protons.
  • Group 1 of the periodic table consists of the alkali metals.
  • Period 1 of the periodic table consists of just two elements, hydrogen and helium.

In astronomy[edit]

  • 1 is the Saros number of the solar eclipse series which began on June 4, 2872 BC and ended on July 11, 1592 BC. The duration of Saros series 1 was 1280.14 years, and it contained 72 solar eclipses.[7]
  • The Saros number of the lunar eclipse series which began on March 14, 2570 BC and ended on April 30, 1272 BC. The duration of Saros series 1 was 1298.17 years, and it contained 73 lunar eclipses.[7]
  • The dwarf planet Ceres has the minor planet designation 1 Ceres because it was the first asteroid to be discovered.
  • M1 is the Messier designation of the Crab Nebula.
  • NGC 1 is the New General Catalogue designation of a distant galaxy.
  • The Roman numeral I stands for supergiant in the Yerkes spectral classification scheme.
  • The Roman numeral I often stands for the first-discovered satellite of a planet or minor planet (such as Saturn I, a.k.a. Mimas).

In philosophy[edit]

In literature[edit]

  • Number One is a character in the book series Lorien Legacies by Pittacus Lore.
  • Number 1 is also a character in the series "Artemis Fowl" by Eoin Colfer.

In comics[edit]

  • A character in the Italian comic book Alan Ford (authors Max Bunker and Magnus), very old disabled man, the supreme leader of the group TNT.

In sports[edit]

  • 1 is the lowest number permitted for use by players of the National Hockey League (NHL), as the league has banned 00 and 0. (The highest number permitted is 98.)
  • Many sports use 1 as their standard scoring increment—examples include goals in a large number of sports, runs in baseball and cricket, and points in volleyball. Examples where 1 is a non-standard increment, or used for one of several possible classes of scores, are listed below by sport.
  • In Australian rules football, 1 point is awarded to the attacking team for a behind, scored when:
  • The ball is kicked by the attacking team and passes between a goal post (taller post) and the nearest behind post (shorter post) on the defensive side of the field without touching the behind post.
  • The ball passes between the defending team's goal posts, but either (1) was not kicked by the attacking team or (2) hit a goal post.
  • The defending team deliberately forces the ball between any two of its own posts. This particular score is officially called a "rushed behind".
  • In baseball scoring, the number 1 is assigned to the pitcher.
  • In basketball:
  • 1 point is awarded for a successful free throw.
  • In the 3×3 variant of the game, shots made from inside the "three-point" arc are also worth 1 point. (Shots from outside the arc are worth 2 points.)
  • The number 1 is used to designate the point guard position.
  • In association football (soccer) the number 1 is often given to the goalkeeper
  • In Gaelic football, hurling and camogie, a "point", with a scoring value of 1, is awarded when the attacking team legally sends the ball over the opponent's crossbar (above the goal).
  • In gridiron football codes, one point is awarded under the following circumstances:
  • In almost all leagues, for a successful place kick after a touchdown. In American football, the score is formally known as a "try", although the terms "extra point", "conversion", "PAT" (for "point after touchdown"), and "point after" are far more commonly used. In Canadian football, the score is formally and popularly called a "convert". Conversions can also be scored by the now rare drop kick; in standard American and Canadian football, such a conversion is worth 1 point, while most forms of indoor football, including the Arena Football League, award 2 points for a drop-kicked conversion.
  • In college football, if a point after "try" is blocked, if the blocked ball stayed in the field of play a defender may pick up and run the ball to his end zone at the other end of the field for a one-point safety.
  • In six-man football, one point is awarded for a successful conversion from scrimmage after a touchdown. Note that in standard 11-man (American) or 12-man (Canadian) football, place kicks are worth 1 point and conversions from scrimmage worth 2; this is reversed in six-man because the reduced number of players makes kicked conversions much more difficult.
  • In Canadian football only, a single or "rouge" is awarded when the ball is legally kicked into the opponent's end zone (except for a successful field goal), and the receiving team does not return, or kick, the ball out of its end zone. (In American football, the same play would result in a touchback and no points.)
  • Some forms of indoor football in the U.S. award a "single", similar to the Canadian score, on kickoffs only.
  • In rugby league:
  • A drop goal is worth 1 point.
  • In most competitions (though not the European Super League, which uses static squad numbering), the starting fullback wears jersey number 1.
  • In rugby union:
  • The starting loosehead prop wears the jersey number 1.
  • In the early years of the sport (prior to 1890), conversions, penalties, drop goals, and goals from mark were all worth 1 point. At that time, a try was worth no points, only giving the attacking team the right to attempt a conversion. In 1890–91, tries were rewarded with 1 point, while all other scores were increased in value. After that time, all scores have been worth at least 2 points (the goal from mark was abolished in 1977).
  • The jersey number 1 has been retired by several North American sports teams in honor of past playing greats or other key figures (or, in one case, a team's fans):
  • In Major League Baseball:
  • The Boston Red Sox, for Hall of Famer Bobby Doerr.
  • The Cincinnati Reds, for manager Fred Hutchinson.
  • The Los Angeles Dodgers, for Hall of Famer Pee Wee Reese.
  • The New York Yankees, for Billy Martin, who both played for and managed the team.
  • The Philadelphia Phillies, for Hall of Famer Richie Ashburn.
  • The Pittsburgh Pirates, for manager Billy Meyer.
  • The St. Louis Cardinals, for Hall of Famer Ozzie Smith.
  • In the NBA:
  • The Boston Celtics, for founding owner Walter Brown, a member of the Hall of Fame as a contributor.
  • The Milwaukee Bucks, for Hall of Fame player Oscar Robertson.
  • The Portland Trail Blazers, for founding owner Larry Weinberg. Unlike most numbers so honored, this number remains in circulation for players.
  • The Sacramento Kings, for Hall of Fame player Nate Archibald, honoring the number's retirement when the team was known as the Kansas City Kings.
  • The Seattle SuperSonics, for Gus Williams. The team has since relocated to become the Oklahoma City Thunder, but the Thunder have yet to issue any number retired by the franchise in Seattle.
  • The Utah Jazz, for Frank Layden, who served the team first as head coach and then as president.
  • In the NFL:
  • The New York Giants, for Hall of Famer Ray Flaherty.
  • The Tennessee Titans, for Hall of Famer Warren Moon, who played for the team in its past incarnation as the Houston Oilers.
  • In the NHL:
  • The Chicago Blackhawks, for Hall of Famer Glenn Hall.
  • The Detroit Red Wings, for Hall of Famer Terry Sawchuk.
  • The Montreal Canadiens, for Hall of Famer Jacques Plante.
  • The New York Rangers, for Hall of Famer Eddie Giacomin.
  • The Minnesota Wild, for their fans.
  • The Philadelphia Flyers, for Hall of Famer Bernie Parent.
  • The Toronto Maple Leafs have a policy of not retiring numbers unless the player honoured either died or suffered a career-ending incident while a member of the team. Other players whose numbers would otherwise be retired instead have their numbers enshrined by the team as "Honoured Numbers", which remain in circulation for future players. The number 1 is currently honoured for Hall of Famers Johnny Bower and Turk Broda.
  • In F1:
  • The previous year's world champion is allowed to use the number 1. Also, it is one of two numbers from 1–99 that F1 drivers cannot use, the other being 17, which has been retired after Jules Bianchi's accident.
  • In NASCAR
  • The number of a car in the Sprint Cup Series originally owned by Dale Earnhardt Inc. (1989–2007) and since 2008 by Chip Ganassi Racing (when DEI merged into Ganassi Racing). The car, a Chevrolet, is currently driven by Jamie McMurray.

In other fields[edit]

  • 1 is the value of an ace in many playing card games, such as cribbage.
  • List of highways numbered 1
  • List of public transport routes numbered 1
  • 1 is often used to denote the Gregorian calendar month of January.
  • 1 CE, the first year of the Common Era
  • 01, the former dialing code for Greater London
  • PRS One, a German paraglider design

See also[edit]

  • −1
  • +1 (disambiguation)
  • One (word)
  • Root of unity

References[edit]

Wikimedia Commons has media related to: 1 (number) (category)

External links[edit]

Wikiquote has quotations related to: 1 (number)
  • The Number 1
  • The Positive Integer 1
  • Prime curiosities: 1

Source: https://en.wikipedia.org/wiki/One



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