Let x be the oxidation number of nitrogen. Since oxygen (O) generally has an oxidation number of -2 in most compounds, we can set up the equation:
2x + 3(-2) = 0
Simplifying the equation:
2x - 6 = 0
2x = 6
x = 6/2
x = 3
Therefore, the oxidation number for nitrogen in dinitrogen trioxide is +3.