we know that
Additive inverse: These are the number when added to original number , the result is 0
Let's assume additive inverse of 52 is x
so,
[tex] x+52=0 [/tex]
now, we can find x
[tex] x+52-52=0-52 [/tex]
[tex] x=-52 [/tex]
so, additive inverse of 52 is -52..........Answer