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In elementary algebra, parentheses ( ) are used to specify the order of operations. [1] Terms inside the bracket are evaluated first; hence 2×(3 + 4) is 14, 20 ÷ (5(1 + 1)) is 2 and (2×3) + 4 is 10. This notation is extended to cover more general algebra involving variables: for example (x + y) × (x − y). Square brackets are also often ...
For example, in the expression 3(x+y) the parentheses are symbols of grouping, but in the expression (3, 5) the parentheses may indicate an open interval. The most common symbols of grouping are the parentheses and the square brackets, and the latter are usually used to avoid too many repeated parentheses.
Fifth grade (also 5th Grade or Grade 5) is the fifth or sixth year of formal or compulsory education. In the United States, this is mostly the last grade of primary school, but for some states, it could be the first year of middle school. Primary school generally goes from Kindergarten and ends in fifth or sixth grade. Students in fifth grade ...
Thus 3 + 5 2 = 28 and 3 × 5 2 = 75. These conventions exist to avoid notational ambiguity while allowing notation to remain brief. [ 4 ] Where it is desired to override the precedence conventions, or even simply to emphasize them, parentheses ( ) can be used.
An alphanumeric outline includes a prefix at the beginning of each topic as a reference aid. The prefix is in the form of Roman numerals for the top level, upper-case letters (in the alphabet of the language being used) for the next level, Arabic numerals for the next level, and then lowercase letters for the next level.
In rhetoric, a parenthesis (pl.: parentheses; from the Ancient Greek word παρένθεσις parénthesis 'injection, insertion', literally '(a) putting in beside') or parenthetical phrase is an explanatory or qualifying word, phrase, clause, or sentence
For example, [0,5] represents the set of real numbers from 0 to 5 inclusive. Both parentheses and brackets are used to denote a half-open interval; [5, 12) would be the set of all real numbers between 5 and 12, including 5 but not 12. The numbers may come as close as they like to 12, including 11.999 and so forth, but 12.0 is not included.
In the author–date method (Harvard referencing), [4] the in-text citation is placed in parentheses after the sentence or part thereof that the citation supports. The citation includes the author's name, year of publication, and page number(s) when a specific part of the source is referred to (Smith 2008, p. 1) or (Smith 2008:1).
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