The sum of an integer and its additive inverse is always zero.
Step 1: Take any integer (n).
Step 2: Its additive inverse is (-n).
Step 3: Add the number and its inverse:
(n + (-n))
Step 4: This is the same as:
(n - n)
Step 5: Subtracting the same number gives:
(0)
Conclusion: For every integer (n), (n + (-n) = 0).