Crop sensors mean a few things to photographers. It is very valuable for users who are looking to get more reach, as a lens with a maximum focal length of 300mm will get an astounding 450mm! This is especially useful when shooting wildlife, birds etc. It will be much, much more expensive to try to obtain the same focal length on a FX camera by purchasing a 450mm lens. However, the downside is that wide angle lenses do not go as wide as they should, as the magnification factor applies to the wide end as well.
On the other hand, full frame cameras have certain advantages and one of them is that wide angle lenses work as they are expected to. A 14-24mm remains as 14-24mm and not 21-36mm. Another is that since the sensor is larger, the pixel density is lower when compared to a DX sensor with the same resolution. This means that there is lesser diffraction, lesser optical errors, and most importantly of all, lesser noise. That is why when you compare DX and FX cameras with the same resolution, images produced by FX camerashave lesser noise and look better.
Related posts:



[...] the AFS 55-300 is a DX lens while the rest are all FX. AFS 28-300 is meant to provide an ultra zoom for FX users, just like the AFS 18-200 for DX [...]