Associative Property of Multiplication
Pronunciation: /əˈsoʊ siˌeɪ tɪv ˈprɒp ər ti ʌv ˌmʌl tə plɪˈkeɪ ʃən/ ?
The associative property of multiplication states that, when
multiplying three numbers,
it does not matter in which order they are multiplied.
This is expressed by the equation: a·(b·c) = (a·b)·c.
One way to remember the associative property of multiplication is to use the root word,
'associate'. So in the associative property of multiplication, the variables 'b' and
'c' associate closely on one side of the equals, while 'a' and 'b' associate closely
on the other side.
of the associative property of multiplication using dots is:
|Figure 1: 3·(2·4) = (3·2)·4 = 24.|
- Fine, Henry B., Ph. D.. Number-System of Algebra Treated Theoretically and Historically, 2nd edition, pg 5. D. C. Heath & Co., Boston, U.S.A., 1907. (Accessed: 2009-12-19). http://www.archive.org/stream/thenumbersystemo17920gut/17920-pdf#page/n14/mode/1up/search/associative.
- Bettinger, Alvin K. and Englund, John A.. Algebra and Trigonometry, pg 2. International Textbook Company, January 1963. (Accessed: 2010-01-12). http://www.archive.org/stream/algebraandtrigon033520mbp#page/n18/mode/1up.
- McAdams, David. Associative. allmathwords.org. All Math Words Encyclopedia. Life is a Story Problem LLC. 2009-03-12. http://www.allmathwords.org/article.aspx?lang=en&id=Associative.
Cite this article as:
Associative Property of Multiplication. 2009-12-19. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/a/associativemultiplication.html.
2009-12-19: Added "References" (McAdams, David.
2008-06-24: Added caption to figure 1 (McAdams, David.
2008-06-16: Initial version (McAdams, David.