The zero identity is defined in the context of a binary operation defined by addition over a set.
It states that there is an element in the set, denoted by 0, such that for every element, X, in the set, 0 + X = X = X + 0.
Addition in the set need not be commutative, but addition of 0 must be.
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It's the Identity Property of Zero.
Commutative Property Identity Property Zero Property
This is the identity property: the additive identity property of zero.
Identity property
The additive identity states that "Any number plus zero is equal to the original number."A + 0 = AHere is an example: 8+0=8 or 25+0=25