What does the Identity property of numbers indicate?

The Identity property of numbers indicates that when you add zero to any number, that number remains unchanged. In simpler terms, the identity for addition is zero, as adding zero to a number does not alter its value. For example, if you take the number five and add zero to it (5 + 0), the result is still five. This concept is fundamental in arithmetic and helps establish a foundational understanding of how numbers behave under addition.

The other statements do not accurately capture the essence of the identity property. While every number does maintain its own unique identity (as suggested in one of the options), the statement about the uniqueness of numbers does not specifically describe the identity property. Additionally, while multiplication does have an identity element (which is one), it is not the focus of the identity property being addressed here. Lastly, the idea that numbers can change under transformation is unrelated to the identity property and does not reflect how numbers behave with respect to addition. Thus, the identity property specifically points out that certain operations allow numbers to retain their original values, particularly in the context of addition.