Brace {}

Pronunciation: /bre?s/ Explain

Braces are marks used to group operations and mark the beginning and end of sets. Braces are always used in pairs. The left brace looks like: {. The right brace looks like: }.

Braces are most often used to mark the beginning and end of sets in set notation. For example: A = {x|x>5}.

Braces are occasionally used to group operations in arithmetic, usually along with parentheses. For example, the expression 5·4+2 evaluates to 22. Using the order of operations, we first multiply 5 and 4 to get 20, and then add 2 to get 22.

However, if we use braces write the expression as 5·{4+2}, the value of the expression changes. The brace tells us to add 4 to 2 before multiplying by 5. Adding 4 and 2 gives us 6. When we then multiply by 5 we get 30.

More Information

Cite this article as:

McAdams, David E. Brace {}. 6/19/2018. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/b/brace.html.

Revision History

6/22/2018: Removed broken links, updated license, implemented new markup. (McAdams, David E.)
5/5/2011: Initial version. (McAdams, David E.)

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