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# What is the definition for the identity property of addition?

The act of adding two or more things together; -- opposed to subtraction or diminution., Anything added; increase; augmentation; as, a piazza is an addition to a building., That part of arithmetic which treats of adding numbers., A dot at the right side of a note as an indication that its sound is to be lengthened one half., A title annexed to a man's name, to identify him more precisely; as, John Doe, Esq.; Richard Roe, Gent.; Robert Dale, Mason; Thomas Way, of New York; a mark of distinction; a title., Something added to a coat of arms, as a mark of honor; -- opposed to abatement. Study guides

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## A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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• Identity property of addition states that the sum of zero and any number or variable is the number or variable itself.

For example, 4 + 0 = 4, - 11 + 0 = - 11, y + 0 = yare few examples illustrating the identity property of addition. A set of numbers has an additive identity if there is an element in the set, denoted by i, such that

x + i = x = i + x for all elements x in the set.

The additive identity is usually represented by 0.  Earn +20 pts  