Should I warn my professor about some errors that I've found in his paper?

A professor of mine gave me a paper, because he wanted to show me the kind of work that we might do together in future. It is the advance access version of the paper, but I've found some errors, like typos, and wrong references of some figures in the text. Should I warn him about those things? If so, what would be the best way to do that?

Update

• I'm from Italy, but I would love to know about other different cultures as well, especially USA;


• My professor is very open minded, nice and easy-going;


• Let's put it this way: if I was a computer I wouldn't understood the meaning of the figures because the references in the text don't match with the right plot, but since I'm human being I've understood that he meant the other figures.

I believe that pride is less important than the truth, especially when it comes to scientific publications. I mean, everyone can be wrong, there is nothing bad about it in my opinion. But I know that not anyone think the same, so I've asked this question because I wanted to know if it's worth to risk what @littleScala pointed out, to spread higher quality articles around the world and to show meticulousness in reading the paper.

Basically I thought:

• Maybe a professor could be nicely impressed by such a level of attention;


• What if he find its own errors? He might think that I didn't read the paper with caution.