Order of Operations
Pronunciation: /ˈɔr.dər ʌv ˌɒpərˈeɪ.ʃənz/ Explain
The order of operations is the
order
in which
arithmetic operations
are performed. If the order of operations was not set by
convention
the value of 3 + 2 · 5 could be evaluated
as (3 + 2) · 5 = 25 or
3 + (2 · 5) = 13.
The order of operations established by mathematicians is:
- Evaluate
all expressions
inside parenthesis. This includes
functions.
- Simplify
terms with exponents.
- Multiply and divide from left to right.
- Add and subtract from left to right.
Please excuse my dear Aunt Sally.
Please stands for parenthesis.
excuse stands for exponents.
my dear stands for multiplication and division.
Aunt Sally stands for addition and subtraction.
References
- McAdams, David E.. All Math Words Dictionary, order of operations. 2nd Classroom edition 20150108-4799968. pg 131. Life is a Story Problem LLC. January 8, 2015. Buy the book
- Bettinger, Alvin K. and Englund, John A.. Algebra and Trigonometry. pg 20. www.archive.org. International Textbook Company. January 1963. Last Accessed 9/5/2018. http://www.archive.org/stream/algebraandtrigon033520mbp#page/n18/mode/1up. Buy the book
More Information
Cite this article as:
McAdams, David E. Order of Operations. 4/27/2019. All Math Words Encyclopedia. Life is a Story Problem LLC. https://www.allmathwords.org/en/o/orderofoperations.html.
Revision History
4/27/2019: Changed equations and expressions to new format. (
McAdams, David E.)
12/21/2018: Reviewed and corrected IPA pronunication. (
McAdams, David E.)
9/5/2018: Removed broken links, updated license, implemented new markup. (
McAdams, David E.)
8/7/2018: Changed vocabulary links to WORDLINK format. (
McAdams, David E.)
8/8/2007: Initial version. (
McAdams, David E.)