hello, recently I had my room painted and the painters put done paper to cover floor from drips and spills. When putting down the drop cloth or paper they used tape to keep the cloth/paper in place. They taped onto hardwood floors, now I have tape marks where the tape touched the floor. How can I correct this and what is the best method? I tried using a product called goo gone but it did not help. Any help would be appreciated.

Is there a sticky residue? or did the tape remove a layer of finish?
Goo gone ought to dissolve any residue left from the tape.
If a layer of finish stuck to the tape when it was pulled off the problem is more complicated.

Sanding the floor finish and or paint residue will leave scratches no matter how fine the sanding grit. The best way to remove fresh paint and tape residue is to use a solvent that will dissolve both. I would use goof off and a clean soft rag, or paper towels. Don't be in a hurry to remove a paint speckle, the solvent will remove it when it is softened and it will wipe up easily.
Bumps in the finish ought to be sanded only if another coat of finish is planned.