I'm currently listening to Percy Jackson and the Lightning Thief. There's a scene where Percy is being chased to Camp Half-Blood. And during this, there is a storm raging. Thunder, lightning, etc. But I'm confused. If the lightning bolt of Zeus was stolen, how was there able to be thunder and lightning while Percy heading to Camp Half-Blood?
The Master Bolt stolen in The Lightning Thief is Zeus's symbol and is considered the most powerful weapon in the world. It does not, however, grant control over thunderstorms, lightning, etc. It is simply a high-yield explosive weapon (extremely high-yield as it tore the top off Mt. Etna). In fact, the Master Bolt is generally not be used in any case, barring dire need such as against world-ending foes. Whenever there needs to be lightning, Zeus uses numerous minor lightning bolts which are patterned off of the Master Bolt.
To add to Steam's direct answer, this is how ALL the gods' powers work.
Witness discussion Persy has with Apollo over the distinction of his chariot vs. the Sun being a giant ball of plasma. Apollo's point is that "Yes, the Sun is a giant ball of plasma. Boooooring. My chariot is more of a mythological construct, a cultural artefact of how humans percieve the Sun and its influence on them".