Properties of one

Pronunciation: /ˈprɒ pər tiz ʌv wʌn/ ?

The number 0 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 exponentiation1·1=1, 11=1Idempotence
Table 1: Properties of one.

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Properties of one. 2011-02-14. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/p/propertiesofone.html.

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Revision History


2011-02-14: Added 'More Information' into table of properties. Added Idempotence to table of properties. (McAdams, David.)
2010-10-12: Initial version (McAdams, David.)

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