An example of an identity element is 0 in the equation 5+0=5.

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"identity element." YourDictionary, n.d. Web. 05 December 2018. <https://www.yourdictionary.com/identity-element>.

**APA Style**

identity element. (n.d.). Retrieved December 05th, 2018, from https://www.yourdictionary.com/identity-element

## identity element

**MLA Style**

"identity element." YourDictionary, n.d. Web. 05 December 2018. <https://www.yourdictionary.com/identity-element>.

**APA Style**

identity element. (n.d.). Retrieved December 05th, 2018, from https://www.yourdictionary.com/identity-element

## identity element

noun

*a*is any real number,

*a*+ 0 = 0 +

*a*=

*a.*Similarly, 1 is the identity element under multiplication for the real numbers, since

*a*× 1 = 1 ×

*a*=

*a.*Also called

*unity*.

**MLA Style**

"identity element." YourDictionary, n.d. Web. 05 December 2018. <https://www.yourdictionary.com/identity-element>.

**APA Style**

identity element. (n.d.). Retrieved December 05th, 2018, from https://www.yourdictionary.com/identity-element

*a, a*+ 0 =

*a,*and 1 is the identity element under multiplication for the real numbers, since

*a*× 1 =

*a.*

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(*plural* identity elements)

- (algebra) A member of a structure which, when applied to any other element via a binary operation, induces an identity mapping; more specifically, given an operation
***, an element*I*is- a
*left identity*if*I * x = x*for any*x*in the structure - a
*right identity*,*x * I = x*for any*x*in the structure - simply an
*identity element*if both are true

- a

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