The camp has a 'zero tolerance' drug and alcohol policy. [=drugs and alcohol are not allowed at the camp and anyone found with drugs or alcohol will be punished]
The police announced that there will be 'zero tolerance' for looters. [=anyone caught looting will be punished as harshly as possible]
New legislation will 'zero out' further funding for the project. [=will completely eliminate further funding for the project]
(..) Do you think Regina would mind? No. You guys are friends. Well, maybe we just won't tell her. So, what did you get for this one? Well, the first time I did it, I got a zero. - Wrong. - But then when I checked it, I got... ...one. - There you go. I got one too. (..)2004 Mean Girls