What does the right-hand rule mean?
If you mean Fleming's right hand rule, then here is my go,
It's simply a shortcut for knowing the direction of induced current in a conductor(during electromagnetic induction) .
Thumb represents motion
First finger represents magnetic field direction(into paper or out of paper)
Second finger represents the current induced.
Most of the time we have the motion of the conductor and the direction of the B-field, and we're looking for the current