Hi Roberta ! Most of the slick tires I've had will start to show some white threads when the rubber is gone. Some it comes quicker than others, and some only in spots while other may be long streaks. It may look like skid marks. Another way on some tires is a flat groove is worn in the center to the point it looks concave. If the tires have some kind of puncture resistance built in you may not even notice . I've worn some tires down so far they began to look like they were white striped , but never got a flat !
If you're very unfamiliar with a tire and you have a new one on hand take a good look at it in your hand formed like it's inflated, and compare it to the one on the bike. A very worn one will be notably different looking in the middle. It's really about getting to know the character of that particular tire.
Now I have some Schwalbe Marathon Racer and Big Ben tires that just seem to last and last and have yet to get to the white streak point.I've had Vittoria Hyper slicks that wore to the white so fast I thought I was seeing a mirage ! Ooops, guess not !