Answer:
Yes, there is a difference between the Inverse Property of Addition and Additive Inverse.
Explanation:
The Inverse Property of Addition states that for any real number a, there exists an additive inverse -a such that a + (-a) = 0.
In other words, the sum of a number and its additive inverse is always equal to zero.
On the other hand, the Additive Inverse of a number is the number that, when added to it, results in a sum of zero.
For example, the additive inverse of 3 is -3, since 3 + (-3) = 0.
So, while both concepts involve the idea of adding an inverse to a number to get a sum of zero, the Inverse Property of Addition is a general property that applies to all real numbers, while the Additive Inverse is a specific term used to refer to the particular inverse of a given number.