Properties of One

Pronunciation: /ˈpɹɑp.ər.tiz ʌv wʌn/ Explain

The number 1 has several important properties that are useful in algebra. Table 1 gives these properties.

PropertyDescriptionEquationMore Information
Multiplication by 1Anything times one equals itself.a * 1 = 1 * a = aProperty of Multiplication by 1
Division by 1Anything divided by one remains unchanged.a/1 = aProperty of Division by 1
Exponent of 1Any number raised to the power of one equals itself.a1 = anone
Idempotence1 is idempotent under multiplication and exponentiation.1·1=1, 11=1Idempotence
Table 1: Properties of one.

Cite this article as:

McAdams, David E. Properties of One. 1/5/2019. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/p/propertiesofone.html.

Revision History

1/5/2019: Corrected copy error. (McAdams, David E.)
12/21/2018: Reviewed and corrected IPA pronunication. (McAdams, David E.)
12/1/2018: Removed broken links, updated license, implemented new markup. (McAdams, David E.)
8/7/2018: Changed vocabulary links to WORDLINK format. (McAdams, David E.)
3/5/2010: Initial version. (McAdams, David E.)

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