Negligent describes carelessness, usually a person failing in their duty. Negligible describes something so small it can be ignored, such as a cost or a risk. Memory hook: a negligent person neglects their duty; a negligible amount is next to nothing.
The core difference
Negligent means careless or failing to give proper attention, while negligible means too small or unimportant to matter.
- negligent — careless or failing in a duty: The inspector called the wiring negligent and unsafe.
- negligible — so small it can be ignored: The price difference between the two options is negligible.
How to tell them apart
Ask what the sentence is describing. If it is a person, an action or a failure to take proper care, negligent is the word. If it is an amount, a risk or a difference too small to worry about, negligible fits instead.
The two get mixed up because they share the same root and both end in a similar sound, but they describe opposite kinds of thing: one is about someone's carelessness, the other about something's size or significance. Reports and reviews are where the swap shows up most, when a writer means a tiny risk but types negligent risk instead of negligible risk.