What equation demonstrates the inverse property of addition?

The equation that demonstrates the inverse property of addition is represented by the expression where a number is added to its additive inverse (the number that makes the sum zero). The correct answer is the equation that states that when a number is subtracted from itself, the result is zero. This shows that the number and its additive inverse cancel each other out, which is the essence of the inverse property of addition.

This property highlights the relationship between a number and zero, emphasizing that zero is the identity element for addition. In this context, when you take any number 'a' and subtract 'a' from itself (a - a), the result is zero, reinforcing the function of inverse operations in algebra.

Other options illustrate different mathematical concepts. For instance, one option mentions the identity property of addition, where adding zero to any number yields the same number. Another option presents the commutative property of multiplication, which states that the order of factors can be changed without affecting the product. The distributive property is also mentioned in another option, reflecting how multiplication distributes over addition. Each of these properties plays a significant role in arithmetic and algebra, but it is the subtraction of a number from itself that directly embodies the inverse property of addition.