Umm - The first one is not correct grammar, and 'neaded' is spelt wrong? I guess that if you unintentionally misspelt the word, that the first is an extremely abbreviated version of the second - but for some specific context-related reason. It certainly isn't something someone would normally say.

"Article not needed" is note-form or point form. You wouldn't use this in proper writing, but maybe if you were giving short instructions. "An article is not needed" is the proper and full sentence.

Firstly, you should tell us where you saw these statements! Article not needed = "headline" English An article is not needed = proper English sentence You could see either on a set of instructions from your teacher.