Rub toothpaste over the scratches on the display. The toothpaste often helps reduce the scratches and smooth them out so they are less visible.
Apply a soft cloth to the display to further assist in wearing the scratches down on the display. Rinse the display with a small amount of water to remove any excess toothpaste.
Clean the display with a solution of half rubbing alcohol and half water to remove any dirt, dust or debris that accumulated over time. This also helps eliminate any leftover toothpaste.
Apply a display polish to any remaining scratches. Cellphone stores often carry display polish for treatment of cellphone scratches and it also works on most microwave displays as well.
Rub the polish into the scratches and polish with a cloth until the scratches are reduced.