Property of Multiplication by 0

Pronunciation: /ˈprɒ pər ti ʌv ˈmʌl təˌplaɪ iŋ baɪ ˈzɪər oʊ/ Explain

The property of multiplying by 0 for real numbers states that anything multiplied by 0 is always 0. This is stated mathematically as a·0 = 0. Sometimes this is called the multiplicative property of 0.

Start with 3 groups of two dots. Take zero of the groups. End up with zero dots.
Figure 1: Property of multiplying by 0.

Another way to think of the property of multiplying by zero is to assume, for example, one is starting with three groups of two objects. How many objects will one have if one takes zero of the groups? One will have zero objects. So 0·2=0.


  1. Bettinger, Alvin K. and Englund, John A.. Algebra and Trigonometry. pg 5. International Textbook Company. January 1963. Last Accessed 1/12/2010. Buy the book

Cite this article as:

McAdams, David E. Property of Multiplication by 0. 5/5/2011. All Math Words Encyclopedia. Life is a Story Problem LLC.

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Revision History

12/31/2008: Added figure and concrete example. (McAdams, David E.)
7/12/2007: Initial version. (McAdams, David E.)

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