electrode potential
Think of an electrode dipped in solution as a tug-of-war between metal and ions over electrons — one side wants to give electrons up, the other wants to grab them. The result of that tug-of-war is an electrical tension at the surface, a tendency for electrons to flow. That built-in tendency, expressed as a voltage, is the electrode potential.
Formally, the electrode potential is the potential difference of a single electrode (a half-cell) relative to a reference, describing the thermodynamic tendency of its reaction to gain or lose electrons. Because you can never measure a lone half-cell by itself, potentials are quoted relative to the standard hydrogen electrode, defined as exactly zero. The standard electrode potential E° is the value under defined standard conditions; the Nernst equation adjusts it for actual concentrations.
It matters because comparing electrode potentials predicts which way a redox reaction will run and how strongly — the foundation of batteries, corrosion, and every electroanalytical method here. The caveat is that potential predicts the tendency (thermodynamics), not the speed (kinetics): a reaction can be strongly favored by potential yet so sluggish that little current flows without extra push, called overpotential.
Copper has a more positive standard electrode potential than zinc, so when a zinc strip is dipped in copper-ion solution the zinc gives up electrons and dissolves while copper metal plates out — the potential difference predicted exactly which metal would 'win' the electrons.
More positive potential means a stronger pull on electrons.
Standard electrode potentials (E°) are always tabulated against the standard hydrogen electrode set at zero. They tell you the direction and driving force of a reaction, never its rate — kinetics, including overpotential, is a separate question.