How do you remove scratches on your eyeglasses?

First of all, are they plastic lenses or glass? If it scratched so easily (just dragging it over the floor) they are more likely to be plastic. Plastic lenses can very often be treated in much the same way as a scratched CD by carefully polishing out the scratch with a VERY fine polish, such as toothpaste (the paste kind, not the gel kind) or metal polish. Metal polish often has solvents in it that can partially dissolve the plastic (depending on the plastic) so one needs to work carefully - you may end up with a worse mess than the scratch itself! If possible, try it first on an 'inconspicuous area' (as they often say) ... not very easy to find on a pair of spectacles! Use a cotton bud dampened with metal polish or toothpaste to rub at a very small area on the edge of the lens, away from your direct line of sight or try it on an old pair with the same kind of lens. Once you have found that polishing the lens doesn't leave a hazy patch, use the same technique with a cotton bud or very small piece of soft cloth to carefully polish out the scratch. Buff it with a soft, dry, clean cloth after each attempt and work slowly with a number of polishings. If the scratch is not just a surface scratch, it can often be repaired by filling it with something that has the same optical properties as the plastic. This is much more difficult, since you need to polish it afterwards so that the surface is exactly as it was before. Such solutions are sold with CD repair kits and can be moderately effective, depending on the type of scratch and the care with which they are applied. The third alternative is to take the glasses to the opticians to see if they have something that will repair or polish the scratch. Of course, opticians are often in the business to make money and may suggest at first that you buy new lenses but you may find one who is willing to help.