Should the sentence containing the word three be 3 instead. The rules states to use numbers that follow an identifying noun. I don't quite understand if "these" is considered identifying but I believe two or three should be written in words.

Question

If I should have to be out over the next two or three days, would you check with these three for me?

Answer 1

Yes, they should be written out.

http://grammar.ccc.commnet.edu/grammar/numbers.htm
This is a good webpage to bookmark whenever you're facing a numeral/spelled-out-number question.

Answer 2

Thank you sooo much. I have searched the internet and could not find a site that explained it. You are awesome!

Answer 3

You're very welcome!

I usually start with their index and then look up whatever I need to learn or explain:
http://grammar.ccc.commnet.edu/grammar/index2.htm