Reaction: 2AgNO3+Zn→Zn(NO3)2+2Ag2\mathrm{AgNO_3} + \mathrm{Zn} \rightarrow \mathrm{Zn(NO_3)_2} + 2\mathrm{Ag}2AgNO3+Zn→Zn(NO3)2+2Ag
The oxidation number of Zn in the reactant is 0, and in the product is +2. Therefor, it is oxidized.