Is 111 How for a Pluse Reading

Mathematical symbols: + and −

+  −
Plus and minus signs
In Unicode	U+002B + PLUS SIGN (HTML+· +) U+2212 − MINUS SIGN (HTML−· −)
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 and minus signs, + and −, are mathematical symbols used to represent the notions of positive and negative, respectively. In addition, + represents the operation of improver, which results in a sum, while − represents subtraction, resulting in a difference.^[ane] Their employ 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-Standard arabic numerals, they are not of great artifact. The Egyptian hieroglyphic sign for improver, 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 contrary sign indicating subtraction:^[2]

Nicole Oresme's manuscripts from the 14th century evidence what may be ane of the earliest uses of + as a sign for plus.^[3]

In early 15th century Europe, the messages "P" and "M" were generally used.^{[4] [5]} The symbols (P with overline, p̄, for più (more), i.e., plus, and M with overline, m̄, 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 development of the ampersand &).^[vii] The − may exist derived from a tilde written over ⟨m⟩ when used to indicate subtraction; or it may come from a autograph version of the letter ⟨m⟩ itself.^[8]

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 + ist das mer" .^[ix] They weren't used for addition and subtraction in the treatise, simply were used to indicate surplus and deficit; their starting time employ in their modern sense appears in a volume by Henricus Grammateus in 1518.^{[10] [11]}

Robert Recorde, the designer of the equals sign, introduced plus and minus to Great britain in 1557 in The Whetstone of Witte:^[12] "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 improver, every bit in 2 + 3 = five. Information technology can likewise serve as a unary operator that leaves its operand unchanged (+x means the same as ten ). This annotation may be used when information technology is desired to emphasize the positiveness of a number, specially in contrast with the negative numbers (+5 versus −5).

The plus sign can besides 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, add-on. It is though conventional to utilize the plus sign to only denote commutative operations.^[13]

The symbol is besides used in chemical science and physics. For more, see § Other uses.

Minus sign [edit]

The minus sign, −, has three main uses in mathematics:^[14]

1. The subtraction operator: a binary operator to point the operation of subtraction, as in v − three = 2. Subtraction is the inverse of improver.^[ane]
2. The function whose value for any real or complex argument is the condiment changed of that statement. For example, if x = 3, then −x = −3, just if ten = −three, then −x = +iii. Similarly, −(−ten) = x .
3. A prefix of a numeric constant. When information technology is placed immediately before an unsigned numeral, the combination names a negative number, the additive changed 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 non have a dissever employ as a function name.

In many contexts, it does not matter whether the second or the 3rd of these usages is intended: −5 is the same number. When it is of import to distinguish them, a raised minus sign ¯ is sometimes used for negative constants, as in elementary education, the programming linguistic communication APL, and some early on graphing calculators.^[a]

All three uses tin be referred to as "minus" in everyday oral communication, though the binary operator is sometimes read equally "have away".^[15] In American English nowadays, −v (for example) is generally referred to as "negative 5" though speakers built-in before 1950 oft refer to information technology as "minus 5". (Temperatures tend to follow the older usage; −five° is generally called "minus five degrees".)^[16] Further, a few textbooks in the United States encourage −ten to be read every bit "the contrary of x " or "the additive changed of ten "—to avoid giving the impression that −10 is necessarily negative (since x itself may already be negative).^[17]

In mathematics and most programming languages, the rules for the gild of operations hateful that −5ⁱⁱ is equal to −25: Exponentiation binds more strongly than the unary minus, which binds more strongly than multiplication or division. Even so, in some programming languages (Microsoft Excel in particular), unary operators bind strongest, so in those cases −5^2 is 25, only 0−5^2 is −25.^[18]

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

Use in elementary education [edit]

Some unproblematic teachers utilise raised plus and minus signs earlier numbers to show they are positive or negative numbers.^{[ commendation needed ]} For example, subtracting −5 from 3 might be read as "positive 3 take away negative 5", and be shown every bit

3 − ⁻five becomes 3 + 5 = 8,

or even equally

⁺iii − ⁻5 becomes ⁺three + ⁺5 = ⁺eight.

Use equally a qualifier [edit]

In grading systems (such as examination marks), the plus sign indicates a grade 1 level college and the minus sign a form lower. For example, B− ("B minus") is one grade lower than B. In some occasions, this is extended to two plus or minus signs (eastward.m., A++ being two grades higher than A).

Positive and negative are sometimes abbreviated as +ve and −ve.^[19]

Mathematics [edit]

In mathematics the i-sided limit ten → a ⁺ means x approaches a from the right (i.e., right-sided limit), and ten → a ⁻ means x approaches a from the left (i.eastward., left-sided limit). For example, i/x → + ${\displaystyle \infty }$ as x → 0⁺ but 1/x → − ${\displaystyle \infty }$ as 10 → 0⁻ .

Blood [edit]

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

Music [edit]

In music, augmented chords are symbolized with a plus sign, although this practice is non universal (as at that place 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]

Also as the normal mathematical usage, plus and minus signs may exist used for a number of other purposes in calculating.

Plus and minus signs are frequently used in tree view on a computer screen—to show if a folder is complanate or non.

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

In most programming languages, subtraction and negation are indicated with the ASCII hyphen-minus grapheme, -. 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 past an underscore, every bit in _5.

In C and another figurer 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 instance, if x equals 6, and so y = x++ increments x to 7 but sets y to half-dozen, whereas y = ++ten would prepare both x and y to 7. By extension, ++ is sometimes used in computing terminology to signify an improvement, as in the name of the linguistic communication C++.

In regular expressions, + is oftentimes used to bespeak "ane or more" in a pattern to be matched. For case, x+ means "one or more of the letter of the alphabet x".

There is no concept of negative zero in mathematics, but in computing −0 may take a separate representation from zero. In the IEEE floating-point standard, ane / −0 is negative infinity ( ${\displaystyle -\infty }$ ) whereas ane / 0 is positive infinity ( ${\displaystyle \infty }$ ).

Other uses [edit]

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

In chemical science, superscripted plus and minus signs are used to indicate an ion with a positive or negative accuse of 1 (due east.m., NH +
4 ). If the charge is greater than 1, a number indicating the accuse is written before the sign (equally in And so 2−
four ). The minus sign is also used, in identify of an en dash, for a single covalent bond between two atoms equally in the skeletal formula.^{[ commendation 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 equally tone letter in the orthographies of Dan, Krumen, Karaboro, Mwan, Wan, Yaouré, Wè, Nyabwa and Godié.^[20] 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.^[21]

In the algebraic notation used to record games of chess, the plus sign + is used to denote a move that puts the opponent into bank check, while a double plus ++ is sometimes used to announce 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 written at the beginning of an international phone number is the "international prefix symbol" that "serves to remind the subscriber to punch the international prefix which differs from country to state and also serves to place the number post-obit every bit the international telephone number."^[22]

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	45december, 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. Information technology is usually shorter in length than the plus sign and often at a dissimilar height to the plus-sign's cross bar. It can be used equally a substitute for the true minus sign when the graphic symbol set is limited to ASCII. Nearly programming languages and other computer readable languages do this, since ASCII is generally bachelor as a subset of well-nigh character encodings, while U+2212 is a Unicode feature but. Also several other software programs usable for calculations don't accept the U+2212 minus. For example, pasting =3−two into Excel or 3−2= into the Windows calculator won't piece of work.

As the true minus is non available on most keyboard layouts, typographers sometimes utilise the very like en dash, U+2013, to correspond the minus sign although it is "not preferred" in mathematical typesetting.^[23] Means of producing the en nuance are available on most computers; encounter Dash § Typing the characters.

Culling minus signs [edit]

There is a commercial minus sign, ⁒, which is used in Germany and Scandinavia. The symbol ÷ is used to announce subtraction in Norway and Denmark.

Alternative plus sign [edit]

A Jewish tradition that dates from at least the 19th century is to write plus using the symbol ﬩.^[24] This practice was adopted into Israeli schools and is withal commonplace today in elementary schools (including secular schools) only in fewer secondary schools.^[25] It is also used occasionally in books past religious authors, merely most books for adults use the international symbol +. The reason for this do is that it avoids the writing of a symbol + that looks like a Christian cross.^{[24] [25]} Unicode has this symbol at position U+FB29 ﬩ HEBREW LETTER ALTERNATIVE PLUS SIGN.^[26]

See as well [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 on Texas Instruments models, including the TI-81 and TI-82

1. ^ ^{a b} Weisstein, Eric West. "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 (Apr 1965). "Symbolically Speaking". For Your Data. 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.tb17262.10. Retrieved 13 April 2009.
6. ^ Sangster, Alan; Stoner, Greg; McCarthy, Patricia (2008). "The market place for Luca Pacioli's Summa Arithmetica" (PDF). Bookkeeping Historians Journal. 35 (ane): 111–134 [p. 115]. doi:10.2308/0148-4184.35.i.111.
7. ^ Cajori, Florian (1928). "Origin and meanings of the signs + and -". A History of Mathematical Notations, Vol. i. The Open Court Company, Publishers.
8. ^ Wright, D. Franklin; New, Bill D. (2000). Intermediate Algebra (quaternary 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. ^ "plus". Oxford English language Dictionary (Online ed.). Oxford University Printing. (Subscription or participating institution membership required.)
10. ^ Smith, D.E. (1951). History of Mathematics. Vol. one. Courier Dover Publications. pp. 258, 330. ISBN0486204308.
11. ^ Earliest Uses of Various Mathematical Symbols
12. ^ Cajori, Florian (2007), A History of Mathematical Notations, Cosimo, p. 164, ISBN9781602066847 .
13. ^ Fraleigh, John B. (1989). A Beginning Course in Abstract Algebra (4 ed.). United States: Addison-Wesley. p. 52. ISBN0-201-52821-five.
14. ^ Henri Picciotto (1990). The Algebra Lab. Creative Publications. p. ix. ISBN978-0-88488-964-ix.
15. ^ "Subtraction". www.mathsisfun.com . Retrieved 2020-08-26 .
16. ^ Schwartzman, Steven (1994). The words of mathematics . The Mathematical Association of America. p. 136. ISBN9780883855119.
17. ^ Wheeler, Ruric East. (2001). Modern Mathematics (11 ed.). p. 171.
18. ^ "Microsoft Office Excel Calculation operators and precedence". Archived from the original on 2009-08-11. Retrieved 2009-07-29 .
19. ^ Castledine, George; Close, Ann (2009). Oxford Handbook of Adult Nursing. Oxford University Press. p. xvii. ISBN9780191039676. .
20. ^ Hartell, Rhonda Fifty., ed. (1993), The Alphabets of Africa. Dakar: UNESCO and SIL.
21. ^ http://web.fscj.edu/brad.biglow/2001dissertationmaster%28encrypted%29.pdf#page=284
22. ^ International Telecommunication Union, Recommendation E.123, Note for national and international telephone numbers, east-mail addresses and Web addresses.
23. ^ "The Unicode Standard, Version thirteen.0, Chapter 6.2" (PDF). 2020. General Punctuation § Dashes and Hyphens.
24. ^ ^{a b} Kaufmann Kohler (1901–1906). "Cross". In Cyrus Adler; et al. (eds.). Jewish Encyclopedia.
25. ^ ^{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 past a horizontal stroke with a vertical hook instead of the sign otherwise used all over the world, considering the latter is reminiscent of a cross." (Folio 96)
26. ^ Unicode U+FB29 reference page This grade of the plus sign is also used on the control buttons at individual seats on board the El Al Israel Airlines shipping.

External links [edit]

beckablet1983.blogspot.com

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

Share this post