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1. To destroy something with fire or heat. It's getting cold in here because all the logs in the fireplace have burned up. Without its heat shields, the spacecraft is in danger of burning up during reentry.
2. To cause to become angry or annoyed. In this usage, a noun or pronoun is often used between "burn" and "up." Gossip like that just burns me up—I can't believe people would say such awful things about me!
3. To deplete a particular thing or resource. Unfortunately, all those plumbing problems have already burned up our renovation budget.
4. To impact something to a great or excessive degree. Sir, protestors are burning up our phone lines—what should we do? That viral video is burning up the Internet right now.
5. To easily defeat or outshine all competitors. With all of your qualifications, you'll burn up all the other applicants for the job.
6. To travel very fast. Often used to describe driving in the phrase "burn up the road." Have you seen my new car? Man, I can't wait to take it out and burn up the road!
7. To have a high fever. Jenny has been lethargic all day, and she's burning up now, so I'm taking her to the doctor.
Very angry or annoyed. Pete's burned up because he heard the awful things that people are saying about him. Mom is going to be burned up when she sees that you dented her new car!
Fig. very angry. (From the heat of anger. See also burn someone up.) My new assistant's mistakes are so maddening! I've never been so burned up in my life. I'm really burned up at Bob's behavior.