Question

The sum of an integer and its additive inverse is zero (0). True or False? Why?

Answer 1

True. As additive is nothing but the same number with opposite sign (+ or -) which results their sum zero.

Answer 2

The sum of an integer and its additive inverse is zero (0).

1) Yes the above statement is true that The sum of an integer and its additive inverse is zero (0).

2) Let us take the example to prove the above statement

3) let the number be x.

4) Before finding the additive inverse let us know that what is additive inverse.

5) Additive inverse of any numbers is given by the negation of that number means the negative of the number.

6) So the additive inverse of x = -x.

7) Hence, if we add x and - x we get 0 only.