Well, everybody born in the american continent is technically "american" too, including Central and South America. Is there a specific term in english for these people?
Edit: Thanks for all your answers, especially the wholesome ones and those patient enough to explain it thoroughly. Since we (South Americans) and you (North Americans) use different models/conventions of continent boundaries, it makes sense for you to go by "Americans", while it doesn't for us.
Learn about the states and call them by their state name like we do in the US: (washingtonians, oregonians, californians, and so on.)
Internationally people love making fun of Americans for knowing little about geography, but it's always a bit surprising to find out how little people in other countries know about US geography considering many of our states are bigger (size-wise) than many entire countries.