After you've installed all five sliders, reinstall the star base to the chair and turn it upright.
Now you've got 5 furniture sliders under your chair that will make it "float' on carpet. These sliders supposedly work on tile and hardwood, but I haven't tried it out.
Now that I don't sink into the carpet, I've removed my chair mat altogether.
I slide around the carpet quite easily. I wouldn't say it's like rolling on a hard surface, but it's definitely better than trying to get the wheels up out of a carpet rut.
Overall, I'm quite happy with the results.