One way to prevent dining room chairs from scratching the floor is to use felt floor protectors. Most are adhesive-backed and stick easily to the bottom of your chair legs, and they're also one of the most inexpensive ways to prevent scratching. If your felt protectors don't stick very well, try cleaning the bottom of your chair legs with an appropriate cleaning agent before putting new ones on. Another relatively inexpensive way to prevent your dining room chairs from scratching the floor includes covering the surface with an area rug.