If the scratches are on the screen and not (as geneven suggested) on the factory applied plastic, a true screen protector often does miracles in hiding blemishes on the screen.

I strongly advize against any "chemical" solutions out there (pastes, oils, whatnot) as they essentially sand your screen down. This is not a good idea when your screen is a touchscreen, as there are oh so many ways this can go tits up.

More so, if the touchscreen doesn't have a top (antiglare) layer, the odds of success are stacked against you. With Newtons e.g. it was possible to sand down scratches with furniture polish by essentially removing the entire top layer, which served as antiglare and tactile texture; I don't think the nits have such a layer.