Как пишется плюс минус через дефис

плюс-минус

плюс-минус

плюс-минус, плюса-минуса

Слитно или раздельно? Орфографический словарь-справочник. — М.: Русский язык.
.
1998.

Смотреть что такое «плюс-минус» в других словарях:

  • Плюс-минус — ПЛЮС, а, м. Толковый словарь Ожегова. С.И. Ожегов, Н.Ю. Шведова. 1949 1992 …   Толковый словарь Ожегова

  • плюс-минус — сущ., кол во синонимов: 3 • около (55) • приблизительно (42) • что то типа (4) …   Словарь синонимов

  • Плюс-минус — ± ∓ Знак плюс минус (±) математический символ, который ставится перед некоторым выражением и означает, что значение этого выражения может быть как положительным, так и отрицательным. Часто используется, например, для указания: пределов изменения… …   Википедия

  • Плюс-минус — Книжн. Обозначение предела колебаний. Учтя требования сборщиков, шлифовщики микровинтов тт. Точилкин и Кудинов решили ужесточить допуски при обработке этих деталей. Раньше допуск составлял плюс минус 0,005, они же перешли на допуск плюс минус… …   Фразеологический словарь русского литературного языка

  • плюс-минус — наречие Не требует постановки знаков препинания. Но мы все были плюс минус такие. К. Сурикова, В пелене дождя. Времелет «Аутлей 1», пилотируемый первым в мире времепроходцем генералом Флажко, благополучно пройдя расстояние почти в два века, при …   Словарь-справочник по пунктуации

  • плюс-минус факторный метод — метод плюс минус факторов Способ составления схем, описывающих причинно следственные связи различных факторов (фазовых переменных), характеризующих поведение системы. Способ возник в радиотехнике, где с его помощью проводится анализ… …   Справочник технического переводчика

  • Плюс-минус (значения) — Плюс минус Плюс минус (±)  математический символ, который ставится перед некоторым выражением и означает, что значение этого выражения может быть как положительным, так и отрицательным. Плюс минус (+/−, P/M)  статистический показатель… …   Википедия

  • Плюс-минус факторный метод — Плюс минус факторный метод(или метод плюс минус факторов) [plus minus factor techniques] способ составления схем, описывающих причинно следственные связи различных факторов (фазовых переменных), характеризующих по­ведение системы. Способ возник в …   Экономико-математический словарь

  • Плюс/минус (хоккей с шайбой) — Плюс/минус  показатель полезности полевых игроков в хоккее с шайбой. Если игрок находился на площадке в то время, когда его команда забила гол, играя при этом либо в равных составах с соперником, либо в меньшинстве, то к его показателю… …   Википедия

  • плюс-минус — плюс ми/нус, неизм …   Слитно. Раздельно. Через дефис.

Всего найдено: 45

Сенсация со знаком «минус«: нужно ли заключать слово минус в кавычки? Спасибо за помощь.
EIM

Ответ справочной службы русского языка

Правильно без кавычек.

Так, фраза: «Залей полтинник» означает «Обстреляй фигуру на стороне противника»; «Минус три» означает, что трое соперников поражены; команда: «Кресты!» значит «Нас осталось двое, и мы занимаем оборонительную позицию» и т.д.
как корректно оформить это предложение?! спасибо

Ответ справочной службы русского языка

Так, фраза «Залей полтинник» означает «Обстреляй фигуру на стороне противника»; «Минус три» означает, что трое соперников поражены; команда «Кресты!» значит «Нас осталось двое, и мы занимаем оборонительную позицию» и т. д.

Пожалуйста, проверьте пунктуацию в следующих предложениях:

1. Комбаты рапортуют мне, как командиру гарнизона.
2. Конечно, мне, как директору, бывало страшновато, когда…
3. Плюс минус десять человек.
4. Вот, в общем-то, и все.

Ответ справочной службы русского языка

Правильно: плюс-минус. Сравнительные обороты могут обособляться или не обособляться в зависимости от смыслового окружения.

Добрый день! Подскажите, пожалуйста, какая форма является правильной:

«Скидка 100 Рублей» или «Скидка МИНУС 100 Рублей»

Спасибо!

Ответ справочной службы русского языка

Корректно: _Скидка 100 рублей_.

Минус этих устройств — относительно высокая стоимость (в частности потому, что приходится устанавливать дополнительные микросхемы для придания четкости изображению).
Или так: (в частности, потому, что приходится…); или (в частности, потому что приходится…).
Как вы считаете?!

Ответ справочной службы русского языка

Возможно: _потому, в частности, что…_ и _в частности, потому что…_

…увеличение обозначается знаком + («плюс»), уменьшение — («минус«).
Все ли правильно? Или, может, не нужно вообще математические знаки ставить?

Ответ справочной службы русского языка

Лучше: увеличение обозначается знаком «плюс», уменьшение — знаком «минус«. (Не требуется указывать сами знаки в тексте.)

Какие нужно использовать кавычки в тексте — «такие» или «такие». Где какие минусы и тире применять: (-) короткий, (–) средний, (—) длинный.

Ответ справочной службы русского языка

См. ответ № 203626 и ответ № 196456 .

знак «минус» пишется с числом слитно или раздельно? (например, …при температуре -5 или — 5)

Ответ справочной службы русского языка

Знак от цифры не отбивается.

Зравствуйте!
Возник такой вопрос: как правильно говорить, например
от минус пяти / от минуса пяти
и
от плюс пяти / от плюса пяти
Спасибо!

Ответ справочной службы русского языка

О температуре правильно: от минус пяти, от плюс пяти.

Два вопроса:
1. «Заявляю, что любой заподозренный мною в коверкании русского (а также английского и французского) языка будет незамедлительно оценен минусом.»

Нужно ли здесь выделять запятыми причастный оборот «заподозренный мною в коверкании русского (а также английского и французского) языка» и почему?

2. «Заявляю, что заподозренный мною в коверкании русского (а также английского и французского) языка будет незамедлительно оценен минусом.»»
Тот же вопрос, но слово «любой» убрано.

Ответ справочной службы русского языка

В обоих случаях дополнительные знаки препинания не требуются, так как: 1) не обособляются причастные обороты, относящиеся к определительному местоимению (_любой_); 2) не обособляются причастия в роли подлежащего.

подскажите,пожалуйста!
как тема сочинения, «минусы и плюсы сотового телефона» или «минусы и плюсы сотовых телефонов»лучше?

Ответ справочной службы русского языка

Варианты равноправны.

Нужны ли тире в предложении:
«Отметьте ответы в клеточках: согласие (—) знаком плюс, а отказ (—) знаком минус
Какие правила описывают подобные ситуации?

Ответ справочной службы русского языка

В этом случае действует следующее правило: тире ставится в однотипно построенных частях сложного предложения при пропуске какого-либо члена предложения (в данном случае — сказуемого).

Как правильно: «знак минус» или «знак минуса»? Спасибо.

Ответ справочной службы русского языка

Корректен первый вариант.

«Однако есть и минусы – максимальный срок охраны составляет всего лишь 15 лет (у торговой марки он неограничен).» Скажите, пожалуйста, слово «неограничен» в данном случае должно писаться слитно или раздельно? Мне кажется, что раздельно, т.к. в первой части фразы речь идет об ОГРАНИЧЕНИИ срока — 15 лет, вторая же часть противопоставляется первой — (срок) НЕ ограничен.

Ответ справочной службы русского языка

Корректно как слитное, так и раздельное написание.

Спасибо за помощь, которую вы оказываете. Взываю к вам в очередной раз. Кавычки — это моя большая проблема, помогите с ними разобраться. Надо ли заключать в кавычки «плюсы» и «минусы» (достоинства и недостатки)?

Ответ справочной службы русского языка

Кавычки не требуются.

From Wikipedia, the free encyclopedia

+ −

Plus and minus signs

In Unicode U+002B + PLUS SIGN (+)
U+2212 MINUS SIGN (−)
Different from
Different from U+002D HYPHEN-MINUS
U+2010 HYPHEN
(many)   Dash
Related
See also U+00B1 ± PLUS-MINUS SIGN
U+2213 MINUS-OR-PLUS SIGN
U+2052 COMMERCIAL MINUS SIGN

The plus sign + and the minus sign are mathematical symbols used to represent the notions of positive and negative, respectively. In addition, + represents the operation of addition, which results in a sum, while represents subtraction, resulting in a difference.[1] Their use has been extended to many other meanings, more or less analogous. Plus and minus are Latin terms meaning «more» and «less», respectively.

History[edit]

Though the signs now seem as familiar as the alphabet or the Hindu-Arabic numerals, they are not of great antiquity. The Egyptian hieroglyphic sign for addition, for example, resembled a pair of legs walking in the direction in which the text was written (Egyptian could be written either from right to left or left to right), with the reverse sign indicating subtraction:[2]

Nicole Oresme’s manuscripts from the 14th century show what may be one of the earliest uses of + as a sign for plus.[3]

In early 15th century Europe, the letters «P» and «M» were generally used.[4][5]
The symbols (P with overline, , for più (more), i.e., plus, and M with overline, , for meno (less), i.e., minus) appeared for the first time in Luca Pacioli’s mathematics compendium, Summa de arithmetica, geometria, proportioni et proportionalità, first printed and published in Venice in 1494.[6]

The + sign is a simplification of the Latin: et (comparable to the evolution of the ampersand &).[7] The may be derived from a tilde written over ⟨m⟩ when used to indicate subtraction; or it may come from a shorthand version of the letter ⟨m⟩ itself.[8]

A page from Johannes Widmann's book

In his 1489 treatise, Johannes Widmann referred to the symbols and + as minus and mer (Modern German mehr; «more»): «[…] was − ist das ist minus […] und das + das ist mer das zu addirst»[9][10][11] They weren’t used for addition and subtraction in the treatise, but were used to indicate surplus and deficit; usage in the modern sense is attested in a 1518 book by Henricus Grammateus.[12][13]

Robert Recorde, the designer of the equals sign, introduced plus and minus to Britain in 1557 in The Whetstone of Witte:[14] «There be other 2 signes in often use of which the first is made thus + and betokeneth more: the other is thus made − and betokeneth lesse.»

Plus sign[edit]

The plus sign, +, is a binary operator that indicates addition, as in 2 + 3 = 5. It can also serve as a unary operator that leaves its operand unchanged (+x means the same as x). This notation may be used when it is desired to emphasize the positiveness of a number, especially in contrast with the negative numbers (+5 versus −5).

The plus sign can also indicate many other operations, depending on the mathematical system under consideration. Many algebraic structures, such as vector spaces and matrix rings, have some operation which is called, or is equivalent to, addition. It is though conventional to use the plus sign to only denote commutative operations.[15]

The symbol is also used in chemistry and physics. For more, see § Other uses.

Minus sign[edit]

The minus sign, , has three main uses in mathematics:[16]

  1. The subtraction operator: a binary operator to indicate the operation of subtraction, as in 5 − 3 = 2. Subtraction is the inverse of addition.[1]
  2. The function whose value for any real or complex argument is the additive inverse of that argument. For example, if x = 3, then x = −3, but if x = −3, then x = +3. Similarly, −(−x) = x.
  3. A prefix of a numeric constant. When it is placed immediately before an unsigned numeral, the combination names a negative number, the additive inverse of the positive number that the numeral would otherwise name. In this usage, ‘−5‘ names a number the same way ‘semicircle’ names a geometric figure, with the caveat that ‘semi’ does not have a separate use as a function name.

In many contexts, it does not matter whether the second or the third of these usages is intended: −5 is the same number. When it is important to distinguish them, a raised minus sign ¯ is sometimes used for negative constants, as in elementary education, the programming language APL, and some early graphing calculators.[a]

All three uses can be referred to as «minus» in everyday speech, though the binary operator is sometimes read as «take away».[17] In American English nowadays, −5 (for example) is generally referred to as «negative five» though speakers born before 1950 often refer to it as «minus five». (Temperatures tend to follow the older usage; −5° is generally called «minus five degrees».)[18] Further, a few textbooks in the United States encourage x to be read as «the opposite of x» or «the additive inverse of x«—to avoid giving the impression that x is necessarily negative (since x itself may already be negative).[19]

In mathematics and most programming languages, the rules for the order of operations mean that −52 is equal to −25: Exponentiation binds more strongly than the unary minus, which binds more strongly than multiplication or division. However, in some programming languages (Microsoft Excel in particular), unary operators bind strongest, so in those cases −5^2 is 25, but 0−5^2 is −25.[20]

Similar to the plus sign, the minus sign is also used in chemistry and physics. For more, see § Other uses below.

Use in elementary education [edit]

Some elementary teachers use raised plus and minus signs before numbers to show they are positive or negative numbers.[citation needed] For example, subtracting −5 from 3 might be read as «positive three take away negative 5», and be shown as

3 − 5 becomes 3 + 5 = 8,

or even as

+3 − 5 becomes +3 + +5 = +8.

Use as a qualifier[edit]

In grading systems (such as examination marks), the plus sign indicates a grade one level higher and the minus sign a grade lower. For example, B− («B minus») is one grade lower than B. In some occasions, this is extended to two plus or minus signs (e.g., A++ being two grades higher than A).

Positive and negative are sometimes abbreviated as +ve and −ve.[21]

Mathematics[edit]

In mathematics the one-sided limit xa+ means x approaches a from the right (i.e., right-sided limit), and xa means x approaches a from the left (i.e., left-sided limit). For example, 1/x → +infty as x → 0+ but 1/x → −infty as x → 0.

Blood[edit]

Blood types are often qualified with a plus or minus to indicate the presence or absence of the Rh factor. For example, A+ means type A blood with the Rh factor present, while B− means type B blood with the Rh factor absent.

Music[edit]

In music, augmented chords are symbolized with a plus sign, although this practice is not universal (as there are other methods for spelling those chords). For example, «C+» is read «C augmented chord». Sometimes the plus is written as a superscript.

Uses in computing[edit]

As well as the normal mathematical usage, plus and minus signs may be used for a number of other purposes in computing.

Plus and minus signs are often used in tree view on a computer screen—to show if a folder is collapsed or not.

In some programming languages, concatenation of strings is written "a" + "b", and results in "ab".

In most programming languages, subtraction and negation are indicated with the ASCII hyphen-minus character, -. In APL a raised minus sign (Unicode U+00AF) is used to denote a negative number, as in ¯3. While in J a negative number is denoted by an underscore, as in _5.

In C and some other computer programming languages, two plus signs indicate the increment operator and two minus signs a decrement; the position of the operator before or after the variable indicates whether the new or old value is read from it. For example, if x equals 6, then y = x++ increments x to 7 but sets y to 6, whereas y = ++x would set both x and y to 7. By extension, ++ is sometimes used in computing terminology to signify an improvement, as in the name of the language C++.

In regular expressions, + is often used to indicate «1 or more» in a pattern to be matched. For example, x+ means «one or more of the letter x».

There is no concept of negative zero in mathematics, but in computing −0 may have a separate representation from zero. In the IEEE floating-point standard, 1 / −0 is negative infinity (-infty ) whereas 1 / 0 is positive infinity (infty ).

Other uses[edit]

In physics, the use of plus and minus signs for different electrical charges was introduced by Georg Christoph Lichtenberg.

In chemistry, superscripted plus and minus signs are used to indicate an ion with a positive or negative charge of 1 (e.g., NH+
4
 
). If the charge is greater than 1, a number indicating the charge is written before the sign (as in SO2−
4
 
). The minus sign is also used, in place of an en dash, for a single covalent bond between two atoms as in the skeletal formula.[citation needed]

In the International Phonetic Alphabet, subscripted plus and minus signs are used as diacritics to indicate advanced or retracted articulations of speech sounds.

The minus sign is also used as tone letter in the orthographies of Dan, Krumen, Karaboro, Mwan, Wan, Yaouré, Wè, Nyabwa and Godié.[22] The Unicode character used for the tone letter (U+02D7) is different from the mathematical minus sign.

The plus sign sometimes represents /ɨ/ in the orthography of Huichol.[23]

In the algebraic notation used to record games of chess, the plus sign + is used to denote a move that puts the opponent into check, while a double plus ++ is sometimes used to denote double check. Combinations of the plus and minus signs are used to evaluate a move (+/−, +/=, =/+, −/+).

In linguistics, a superscript plus + sometimes replaces the asterisk, which denotes unattested linguistic reconstruction.

In botanical names, a plus sign denotes graft-chimaera.

A plus sign prefixed to a telephone number is used to indicate the form used for International Direct Dialing.[24] Its precise usage varies by technology and national standards.

Character codes[edit]

— + −

hyphen-minus, plus, minus signs compared

Read Character Unicode ASCII in URL HTML notations
Plus + U+002B 43dec, 2Bhex %2B +, +
Minus U+2212 %E2%88%92 − − −
Hyphen-minus U+002D 45dec, 2Dhex %2D -
Small Hyphen-minus U+FE63 %EF%B9%A3 ﹣ ﹣
Full-width Plus U+FF0B %EF%BC%8B + +
Full-width Hyphen-minus U+FF0D %EF%BC%8D - -

The hyphen-minus sign, , is the original ASCII version of the minus sign, which doubles as a hyphen. It is usually shorter in length than the plus sign and often at a different height to the plus-sign’s cross bar. It can be used as a substitute for the true minus sign when the character set is limited to ASCII. Most programming languages and other computer readable languages do this, since ASCII is generally available as a subset of most character encodings, while U+2212 is a Unicode feature only. Also several other software programs usable for calculations don’t accept the U+2212 minus. For example, pasting =3−2 into Excel or 3−2= into the Windows calculator won’t work.

As the true minus is not available on most keyboard layouts, typographers sometimes use the very similar en dash, U+2013, to represent the minus sign although it is «not preferred» in mathematical typesetting.[25] Ways of producing the en dash are available on most computers; see Dash § Typing the characters.

Alternative minus signs[edit]

There is a commercial minus sign, , which is used in Germany and Scandinavia. The symbol ÷ is used to denote subtraction in Scandinavia.[26]

Alternative plus sign[edit]

Altplus.svg

A Jewish tradition that dates from at least the 19th century is to write plus using the symbol .[27] This practice was adopted into Israeli schools and is still commonplace today in elementary schools (including secular schools) but in fewer secondary schools.[28] It is also used occasionally in books by religious authors, but most books for adults use the international symbol +. The reason for this practice is that it avoids the writing of a symbol + that looks like a Christian cross.[27][28] Unicode has this symbol at position U+FB29 HEBREW LETTER ALTERNATIVE PLUS SIGN.[29]

See also[edit]

  • En dash, a dash that looks similar to the subtraction symbol but is used for different purposes
  • Plus–minus sign ±
  • Glossary of mathematical symbols
  • ⊕ (disambiguation)

References and footnotes[edit]

  1. ^ at least the early Texas Instruments models, including the TI-81 and TI-82
  1. ^ a b Weisstein, Eric W. «Subtraction». mathworld.wolfram.com. Retrieved 2020-08-26.
  2. ^
    Karpinski, Louis C. (1917). «Algebraical Developments Among the Egyptians and Babylonians». The American Mathematical Monthly. 24 (6): 257–265. doi:10.2307/2973180. JSTOR 2973180. MR 1518824.
  3. ^ The birth of symbols – Zdena Lustigova, Faculty of Mathematics and Physics Charles University, Prague Archived 2013-07-08 at archive.today
  4. ^ Ley, Willy (April 1965). «Symbolically Speaking». For Your Information. Galaxy Science Fiction. pp. 57–67.
  5. ^ Stallings, Lynn (May 2000). «A brief history of algebraic notation». School Science and Mathematics. 100 (5): 230–235. doi:10.1111/j.1949-8594.2000.tb17262.x. Retrieved 13 April 2009.
  6. ^ Sangster, Alan; Stoner, Greg; McCarthy, Patricia (2008). «The market for Luca Pacioli’s Summa Arithmetica» (PDF). Accounting Historians Journal. 35 (1): 111–134 [p. 115]. doi:10.2308/0148-4184.35.1.111.
  7. ^ Cajori, Florian (1928). «Origin and meanings of the signs + and -«. A History of Mathematical Notations, Vol. 1. The Open Court Company, Publishers.
  8. ^ Wright, D. Franklin; New, Bill D. (2000). Intermediate Algebra (4th ed.). Thomson Learning. p. 1. The minus sign or bar, — , is thought to be derived from the habit of early scribes of using a bar to represent the letter m
  9. ^ a b Widmann, Johannes (1489). «Behe[n]de vnd hubsche Rechenung auff allen kauffmanschafft». Leipzig : Konrad Kachelofen. p. 176.
  10. ^ a b Widmann, Johannes (1508). «Behend vnd hüpsch Rechnung vff allen Kauffmanschafften». Kolophon: Gedruck zů Pfhortzheim von Thoman Anßhelm. p. 122.
  11. ^ «plus». Oxford English Dictionary (Online ed.). Oxford University Press. (Subscription or participating institution membership required.)
  12. ^ Smith, D.E. (1951). History of Mathematics. Vol. 1. Courier Dover Publications. pp. 258, 330. ISBN 0486204308.
  13. ^ Earliest Uses of Symbols of Operation
  14. ^ Cajori, Florian (2007), A History of Mathematical Notations, Cosimo, p. 164, ISBN 9781602066847.
  15. ^ Fraleigh, John B. (1989). A First Course in Abstract Algebra (4 ed.). United States: Addison-Wesley. p. 52. ISBN 0-201-52821-5.
  16. ^ Henri Picciotto (1990). The Algebra Lab. Creative Publications. p. 9. ISBN 978-0-88488-964-9.
  17. ^ «Subtraction». www.mathsisfun.com. Retrieved 2020-08-26.
  18. ^ Schwartzman, Steven (1994). The words of mathematics. The Mathematical Association of America. p. 136. ISBN 9780883855119.
  19. ^ Wheeler, Ruric E. (2001). Modern Mathematics (11 ed.). p. 171.
  20. ^ «Microsoft Office Excel Calculation operators and precedence». Archived from the original on 2009-08-11. Retrieved 2009-07-29.
  21. ^ Castledine, George; Close, Ann (2009). Oxford Handbook of Adult Nursing. Oxford University Press. p. xvii. ISBN 9780191039676..
  22. ^ Hartell, Rhonda L., ed. (1993), The Alphabets of Africa. Dakar: UNESCO and SIL.
  23. ^ Biglow, Brad Morris (2001). Ethno-Nationalist Politics and Cultural Preservation: Education and Bordered Identities Among the Wixaritari (Huichol) of Tateikita, Jalisco, Mexico (PDF) (PhD). University of Florida. p. 284.
  24. ^ «Recommendation E.123: Notation for national and international telephone numbers, e-mail addresses and Web addresses». International Telecommunication Union. 2001.
  25. ^ «The Unicode Standard, Version 13.0, Chapter 6.2» (PDF). 2020. General Punctuation § Dashes and Hyphens.
  26. ^ «6. Writing Systems and Punctuation». The Unicode Standard: Version 10.0 – Core Specification (PDF). Unicode Consortium. June 2017. p. 280, Obelus.
  27. ^ a b Kaufmann Kohler (1901–1906). «Cross». In Cyrus Adler; et al. (eds.). Jewish Encyclopedia.
  28. ^ a b Christian-Jewish Dialogue: Theological Foundations By Peter von der Osten-Sacken (1986 – Fortress Press) ISBN 0-8006-0771-6 «In Israel the plus sign used in mathematics is represented by a horizontal stroke with a vertical hook instead of the sign otherwise used all over the world, because the latter is reminiscent of a cross.» (Page 96)
  29. ^ Unicode U+FB29 reference page This form of the plus sign is also used on the control buttons at individual seats on board the El Al Israel Airlines aircraft.

External links[edit]

From Wikipedia, the free encyclopedia

+ −

Plus and minus signs

In Unicode U+002B + PLUS SIGN (+)
U+2212 MINUS SIGN (−)
Different from
Different from U+002D HYPHEN-MINUS
U+2010 HYPHEN
(many)   Dash
Related
See also U+00B1 ± PLUS-MINUS SIGN
U+2213 MINUS-OR-PLUS SIGN
U+2052 COMMERCIAL MINUS SIGN

The plus sign + and the minus sign are mathematical symbols used to represent the notions of positive and negative, respectively. In addition, + represents the operation of addition, which results in a sum, while represents subtraction, resulting in a difference.[1] Their use has been extended to many other meanings, more or less analogous. Plus and minus are Latin terms meaning «more» and «less», respectively.

History[edit]

Though the signs now seem as familiar as the alphabet or the Hindu-Arabic numerals, they are not of great antiquity. The Egyptian hieroglyphic sign for addition, for example, resembled a pair of legs walking in the direction in which the text was written (Egyptian could be written either from right to left or left to right), with the reverse sign indicating subtraction:[2]

Nicole Oresme’s manuscripts from the 14th century show what may be one of the earliest uses of + as a sign for plus.[3]

In early 15th century Europe, the letters «P» and «M» were generally used.[4][5]
The symbols (P with overline, , for più (more), i.e., plus, and M with overline, , for meno (less), i.e., minus) appeared for the first time in Luca Pacioli’s mathematics compendium, Summa de arithmetica, geometria, proportioni et proportionalità, first printed and published in Venice in 1494.[6]

The + sign is a simplification of the Latin: et (comparable to the evolution of the ampersand &).[7] The may be derived from a tilde written over ⟨m⟩ when used to indicate subtraction; or it may come from a shorthand version of the letter ⟨m⟩ itself.[8]

A page from Johannes Widmann's book

In his 1489 treatise, Johannes Widmann referred to the symbols and + as minus and mer (Modern German mehr; «more»): «[…] was − ist das ist minus […] und das + das ist mer das zu addirst»[9][10][11] They weren’t used for addition and subtraction in the treatise, but were used to indicate surplus and deficit; usage in the modern sense is attested in a 1518 book by Henricus Grammateus.[12][13]

Robert Recorde, the designer of the equals sign, introduced plus and minus to Britain in 1557 in The Whetstone of Witte:[14] «There be other 2 signes in often use of which the first is made thus + and betokeneth more: the other is thus made − and betokeneth lesse.»

Plus sign[edit]

The plus sign, +, is a binary operator that indicates addition, as in 2 + 3 = 5. It can also serve as a unary operator that leaves its operand unchanged (+x means the same as x). This notation may be used when it is desired to emphasize the positiveness of a number, especially in contrast with the negative numbers (+5 versus −5).

The plus sign can also indicate many other operations, depending on the mathematical system under consideration. Many algebraic structures, such as vector spaces and matrix rings, have some operation which is called, or is equivalent to, addition. It is though conventional to use the plus sign to only denote commutative operations.[15]

The symbol is also used in chemistry and physics. For more, see § Other uses.

Minus sign[edit]

The minus sign, , has three main uses in mathematics:[16]

  1. The subtraction operator: a binary operator to indicate the operation of subtraction, as in 5 − 3 = 2. Subtraction is the inverse of addition.[1]
  2. The function whose value for any real or complex argument is the additive inverse of that argument. For example, if x = 3, then x = −3, but if x = −3, then x = +3. Similarly, −(−x) = x.
  3. A prefix of a numeric constant. When it is placed immediately before an unsigned numeral, the combination names a negative number, the additive inverse of the positive number that the numeral would otherwise name. In this usage, ‘−5‘ names a number the same way ‘semicircle’ names a geometric figure, with the caveat that ‘semi’ does not have a separate use as a function name.

In many contexts, it does not matter whether the second or the third of these usages is intended: −5 is the same number. When it is important to distinguish them, a raised minus sign ¯ is sometimes used for negative constants, as in elementary education, the programming language APL, and some early graphing calculators.[a]

All three uses can be referred to as «minus» in everyday speech, though the binary operator is sometimes read as «take away».[17] In American English nowadays, −5 (for example) is generally referred to as «negative five» though speakers born before 1950 often refer to it as «minus five». (Temperatures tend to follow the older usage; −5° is generally called «minus five degrees».)[18] Further, a few textbooks in the United States encourage x to be read as «the opposite of x» or «the additive inverse of x«—to avoid giving the impression that x is necessarily negative (since x itself may already be negative).[19]

In mathematics and most programming languages, the rules for the order of operations mean that −52 is equal to −25: Exponentiation binds more strongly than the unary minus, which binds more strongly than multiplication or division. However, in some programming languages (Microsoft Excel in particular), unary operators bind strongest, so in those cases −5^2 is 25, but 0−5^2 is −25.[20]

Similar to the plus sign, the minus sign is also used in chemistry and physics. For more, see § Other uses below.

Use in elementary education [edit]

Some elementary teachers use raised plus and minus signs before numbers to show they are positive or negative numbers.[citation needed] For example, subtracting −5 from 3 might be read as «positive three take away negative 5», and be shown as

3 − 5 becomes 3 + 5 = 8,

or even as

+3 − 5 becomes +3 + +5 = +8.

Use as a qualifier[edit]

In grading systems (such as examination marks), the plus sign indicates a grade one level higher and the minus sign a grade lower. For example, B− («B minus») is one grade lower than B. In some occasions, this is extended to two plus or minus signs (e.g., A++ being two grades higher than A).

Positive and negative are sometimes abbreviated as +ve and −ve.[21]

Mathematics[edit]

In mathematics the one-sided limit xa+ means x approaches a from the right (i.e., right-sided limit), and xa means x approaches a from the left (i.e., left-sided limit). For example, 1/x → +infty as x → 0+ but 1/x → −infty as x → 0.

Blood[edit]

Blood types are often qualified with a plus or minus to indicate the presence or absence of the Rh factor. For example, A+ means type A blood with the Rh factor present, while B− means type B blood with the Rh factor absent.

Music[edit]

In music, augmented chords are symbolized with a plus sign, although this practice is not universal (as there are other methods for spelling those chords). For example, «C+» is read «C augmented chord». Sometimes the plus is written as a superscript.

Uses in computing[edit]

As well as the normal mathematical usage, plus and minus signs may be used for a number of other purposes in computing.

Plus and minus signs are often used in tree view on a computer screen—to show if a folder is collapsed or not.

In some programming languages, concatenation of strings is written "a" + "b", and results in "ab".

In most programming languages, subtraction and negation are indicated with the ASCII hyphen-minus character, -. In APL a raised minus sign (Unicode U+00AF) is used to denote a negative number, as in ¯3. While in J a negative number is denoted by an underscore, as in _5.

In C and some other computer programming languages, two plus signs indicate the increment operator and two minus signs a decrement; the position of the operator before or after the variable indicates whether the new or old value is read from it. For example, if x equals 6, then y = x++ increments x to 7 but sets y to 6, whereas y = ++x would set both x and y to 7. By extension, ++ is sometimes used in computing terminology to signify an improvement, as in the name of the language C++.

In regular expressions, + is often used to indicate «1 or more» in a pattern to be matched. For example, x+ means «one or more of the letter x».

There is no concept of negative zero in mathematics, but in computing −0 may have a separate representation from zero. In the IEEE floating-point standard, 1 / −0 is negative infinity (-infty ) whereas 1 / 0 is positive infinity (infty ).

Other uses[edit]

In physics, the use of plus and minus signs for different electrical charges was introduced by Georg Christoph Lichtenberg.

In chemistry, superscripted plus and minus signs are used to indicate an ion with a positive or negative charge of 1 (e.g., NH+
4
 
). If the charge is greater than 1, a number indicating the charge is written before the sign (as in SO2−
4
 
). The minus sign is also used, in place of an en dash, for a single covalent bond between two atoms as in the skeletal formula.[citation needed]

In the International Phonetic Alphabet, subscripted plus and minus signs are used as diacritics to indicate advanced or retracted articulations of speech sounds.

The minus sign is also used as tone letter in the orthographies of Dan, Krumen, Karaboro, Mwan, Wan, Yaouré, Wè, Nyabwa and Godié.[22] The Unicode character used for the tone letter (U+02D7) is different from the mathematical minus sign.

The plus sign sometimes represents /ɨ/ in the orthography of Huichol.[23]

In the algebraic notation used to record games of chess, the plus sign + is used to denote a move that puts the opponent into check, while a double plus ++ is sometimes used to denote double check. Combinations of the plus and minus signs are used to evaluate a move (+/−, +/=, =/+, −/+).

In linguistics, a superscript plus + sometimes replaces the asterisk, which denotes unattested linguistic reconstruction.

In botanical names, a plus sign denotes graft-chimaera.

A plus sign prefixed to a telephone number is used to indicate the form used for International Direct Dialing.[24] Its precise usage varies by technology and national standards.

Character codes[edit]

— + −

hyphen-minus, plus, minus signs compared

Read Character Unicode ASCII in URL HTML notations
Plus + U+002B 43dec, 2Bhex %2B +, +
Minus U+2212 %E2%88%92 − − −
Hyphen-minus U+002D 45dec, 2Dhex %2D -
Small Hyphen-minus U+FE63 %EF%B9%A3 ﹣ ﹣
Full-width Plus U+FF0B %EF%BC%8B + +
Full-width Hyphen-minus U+FF0D %EF%BC%8D - -

The hyphen-minus sign, , is the original ASCII version of the minus sign, which doubles as a hyphen. It is usually shorter in length than the plus sign and often at a different height to the plus-sign’s cross bar. It can be used as a substitute for the true minus sign when the character set is limited to ASCII. Most programming languages and other computer readable languages do this, since ASCII is generally available as a subset of most character encodings, while U+2212 is a Unicode feature only. Also several other software programs usable for calculations don’t accept the U+2212 minus. For example, pasting =3−2 into Excel or 3−2= into the Windows calculator won’t work.

As the true minus is not available on most keyboard layouts, typographers sometimes use the very similar en dash, U+2013, to represent the minus sign although it is «not preferred» in mathematical typesetting.[25] Ways of producing the en dash are available on most computers; see Dash § Typing the characters.

Alternative minus signs[edit]

There is a commercial minus sign, , which is used in Germany and Scandinavia. The symbol ÷ is used to denote subtraction in Scandinavia.[26]

Alternative plus sign[edit]

Altplus.svg

A Jewish tradition that dates from at least the 19th century is to write plus using the symbol .[27] This practice was adopted into Israeli schools and is still commonplace today in elementary schools (including secular schools) but in fewer secondary schools.[28] It is also used occasionally in books by religious authors, but most books for adults use the international symbol +. The reason for this practice is that it avoids the writing of a symbol + that looks like a Christian cross.[27][28] Unicode has this symbol at position U+FB29 HEBREW LETTER ALTERNATIVE PLUS SIGN.[29]

See also[edit]

  • En dash, a dash that looks similar to the subtraction symbol but is used for different purposes
  • Plus–minus sign ±
  • Glossary of mathematical symbols
  • ⊕ (disambiguation)

References and footnotes[edit]

  1. ^ at least the early Texas Instruments models, including the TI-81 and TI-82
  1. ^ a b Weisstein, Eric W. «Subtraction». mathworld.wolfram.com. Retrieved 2020-08-26.
  2. ^
    Karpinski, Louis C. (1917). «Algebraical Developments Among the Egyptians and Babylonians». The American Mathematical Monthly. 24 (6): 257–265. doi:10.2307/2973180. JSTOR 2973180. MR 1518824.
  3. ^ The birth of symbols – Zdena Lustigova, Faculty of Mathematics and Physics Charles University, Prague Archived 2013-07-08 at archive.today
  4. ^ Ley, Willy (April 1965). «Symbolically Speaking». For Your Information. Galaxy Science Fiction. pp. 57–67.
  5. ^ Stallings, Lynn (May 2000). «A brief history of algebraic notation». School Science and Mathematics. 100 (5): 230–235. doi:10.1111/j.1949-8594.2000.tb17262.x. Retrieved 13 April 2009.
  6. ^ Sangster, Alan; Stoner, Greg; McCarthy, Patricia (2008). «The market for Luca Pacioli’s Summa Arithmetica» (PDF). Accounting Historians Journal. 35 (1): 111–134 [p. 115]. doi:10.2308/0148-4184.35.1.111.
  7. ^ Cajori, Florian (1928). «Origin and meanings of the signs + and -«. A History of Mathematical Notations, Vol. 1. The Open Court Company, Publishers.
  8. ^ Wright, D. Franklin; New, Bill D. (2000). Intermediate Algebra (4th ed.). Thomson Learning. p. 1. The minus sign or bar, — , is thought to be derived from the habit of early scribes of using a bar to represent the letter m
  9. ^ a b Widmann, Johannes (1489). «Behe[n]de vnd hubsche Rechenung auff allen kauffmanschafft». Leipzig : Konrad Kachelofen. p. 176.
  10. ^ a b Widmann, Johannes (1508). «Behend vnd hüpsch Rechnung vff allen Kauffmanschafften». Kolophon: Gedruck zů Pfhortzheim von Thoman Anßhelm. p. 122.
  11. ^ «plus». Oxford English Dictionary (Online ed.). Oxford University Press. (Subscription or participating institution membership required.)
  12. ^ Smith, D.E. (1951). History of Mathematics. Vol. 1. Courier Dover Publications. pp. 258, 330. ISBN 0486204308.
  13. ^ Earliest Uses of Symbols of Operation
  14. ^ Cajori, Florian (2007), A History of Mathematical Notations, Cosimo, p. 164, ISBN 9781602066847.
  15. ^ Fraleigh, John B. (1989). A First Course in Abstract Algebra (4 ed.). United States: Addison-Wesley. p. 52. ISBN 0-201-52821-5.
  16. ^ Henri Picciotto (1990). The Algebra Lab. Creative Publications. p. 9. ISBN 978-0-88488-964-9.
  17. ^ «Subtraction». www.mathsisfun.com. Retrieved 2020-08-26.
  18. ^ Schwartzman, Steven (1994). The words of mathematics. The Mathematical Association of America. p. 136. ISBN 9780883855119.
  19. ^ Wheeler, Ruric E. (2001). Modern Mathematics (11 ed.). p. 171.
  20. ^ «Microsoft Office Excel Calculation operators and precedence». Archived from the original on 2009-08-11. Retrieved 2009-07-29.
  21. ^ Castledine, George; Close, Ann (2009). Oxford Handbook of Adult Nursing. Oxford University Press. p. xvii. ISBN 9780191039676..
  22. ^ Hartell, Rhonda L., ed. (1993), The Alphabets of Africa. Dakar: UNESCO and SIL.
  23. ^ Biglow, Brad Morris (2001). Ethno-Nationalist Politics and Cultural Preservation: Education and Bordered Identities Among the Wixaritari (Huichol) of Tateikita, Jalisco, Mexico (PDF) (PhD). University of Florida. p. 284.
  24. ^ «Recommendation E.123: Notation for national and international telephone numbers, e-mail addresses and Web addresses». International Telecommunication Union. 2001.
  25. ^ «The Unicode Standard, Version 13.0, Chapter 6.2» (PDF). 2020. General Punctuation § Dashes and Hyphens.
  26. ^ «6. Writing Systems and Punctuation». The Unicode Standard: Version 10.0 – Core Specification (PDF). Unicode Consortium. June 2017. p. 280, Obelus.
  27. ^ a b Kaufmann Kohler (1901–1906). «Cross». In Cyrus Adler; et al. (eds.). Jewish Encyclopedia.
  28. ^ a b Christian-Jewish Dialogue: Theological Foundations By Peter von der Osten-Sacken (1986 – Fortress Press) ISBN 0-8006-0771-6 «In Israel the plus sign used in mathematics is represented by a horizontal stroke with a vertical hook instead of the sign otherwise used all over the world, because the latter is reminiscent of a cross.» (Page 96)
  29. ^ Unicode U+FB29 reference page This form of the plus sign is also used on the control buttons at individual seats on board the El Al Israel Airlines aircraft.

External links[edit]

Толковый словарь русского языка. Поиск по слову, типу, синониму, антониму и описанию. Словарь ударений.

плюс-минус

ТОЛКОВЫЙ СЛОВАРЬ ОЖЕГОВА

ФРАЗЕОЛОГИЧЕСКИЙ СЛОВАРЬ

Книжн. Обозначение предела колебаний.

Учтя требования сборщиков, шлифовщики микровинтов тт. Точилкин и Кудинов решили ужесточить допуски при обработке этих деталей. Раньше допуск составлял плюс-минус 0,005, они же перешли на допуск плюс-минус 0,002 (Н. Российский. Труд и мир).

СБОРНИК СЛОВ И ИНОСКАЗАНИЙ

плюс-минус (иноск.) — хорошее-дурное (положительные — отрицательные качества)

Ср. Другие толкователи (учения о любви к ближнему) учат любить всех ближних без исключения, не различая плюсов и минусов.

А.П. Чехов. Дуэль. 15.

СПРАВОЧНИК ПО ПУНКТУАЦИИ

наречие

Не требует постановки знаков препинания.

Но мы все были плюс-минус такие. К. Сурикова, В пелене дождя. Времелет «Аутлей-1», пилотируемый первым в мире времепроходцем генералом Флажко, благополучно пройдя расстояние почти в два века, при… при… временно остановился в намеченной точке с поразительной точностью в плюс-минус два года! А. Битов, Фотография Пушкина.

СЛИТНО. РАЗДЕЛЬНО. ЧЕРЕЗ ДЕФИС

ОРФОГРАФИЧЕСКИЙ СЛОВАРЬ

СИНОНИМЫ

сущ., кол-во синонимов: 3

ПОЛЕЗНЫЕ СЕРВИСЫ

плюс-минус нарвские ворота

КРЫЛАТЫЕ СЛОВА

Приблизительно, неточно. Надо сказать, для создания этой удивительной формулы у петербуржцев были все основания. Нарвские триумфальные ворота строились дважды. В разное время. На разных местах. Из разных материалов. По проектам двух разных архитекторов. Вторые, те, что существуют сегодня, — и те, и не те, что первые.

Приблизительно те первые ворота построили в 1814 г. по проекту архитектора Джакомо Кваренги на берегу Обводного канала для торжественной встречи войск — победителей Наполеона. Они были временными и потому возводились из дерева и алебастра. Через 20 лет ворота так обветшали, что их пришлось разобрать. Возобновили их из долговечных материалов — камня и металла — на новом месте. Проект осуществил архитектор В. П. Стасов, сохранив при этом все основные характеристики старых ворот. Так и случилось, что ворота вроде бы те… но не те. Приблизительно те.

ПОЛЕЗНЫЕ СЕРВИСЫ

плюс-минус

Правильно слово пишется: плюс-минус

Сложное слово, состоящее из 2 частей.

плюс
Ударение падает на слог с единственной гласной буквой в слове.
Всего в слове 4 буквы, 1 гласная, 3 согласных, 1 слог.
Гласные: ю;
Согласные: п, л, с.
минус
Всего в слове 5 букв, 2 гласных, 3 согласных, 2 слога.
Гласные: и, у;
Согласные: м, н, с.

Номера букв в слове

Номера букв в слове «плюс-минус» в прямом и обратном порядке:

  • 9
    п
    1
  • 8
    л
    2
  • 7
    ю
    3
  • 6
    с
    4
  •  

     
  • 5
    м
    5
  • 4
    и
    6
  • 3
    н
    7
  • 2
    у
    8
  • 1
    с
    9

Слово «плюс-минус» состоит из 9-ти букв и 1-го дефиса.

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