Final answer:
The Additive Identity Property states that adding zero to any number does not change that number's value, with zero acting as the identity element in the operation of addition.
Step-by-step explanation:
Additive Identity Property
The Additive Identity Property refers to a fundamental characteristic of addition in mathematics. It states that there is a unique number, called the identity element (usually denoted as 0), such that for any number A, the equation A + 0 = A holds true. This means that adding zero to any number does not change the number's value, hence the term 'identity' as it preserves the original number.
This property is part of the foundation upon which arithmetic is built and is also reflected in algebraic structures. Being a member of the set of real numbers, the identity element maintains the essential properties when applied in addition. Here's an example: If we consider the numbers 2 and 3, the addition of these numbers can be done in any order due to the commutative property of addition (2 + 3 = 3 + 2), and when the additive identity (0) is introduced, we see that 2 + 0 = 2 and 3 + 0 = 3, regardless of the order of addition.