I think it works like this. You buy 30 days; you get 40 days before you have to continue paying or just let it lapse.
Free 10 day premium trial

I think you would just go to buy it, but under the payment stuff that would be an option, or a automatic thing

You can get 10 days separate but you need to give them your credit card #. If you don't cancel before the 10 days are up then you'll be charged. Obviously chess.com is hoping you'll either sign up or forget to cancel but no, you don't have to buy 30 days to get 10 days free. RJC is a bit of a cynic...

No, but thank you, I just don't have a head for business, and I sometimes just don't need to understand all the behind the scencs details. I understand the bait of the offer, but half the world wants just the free stuff.

You actually don't need a free trial – all memberships include a 30-day money-back no-questions-asked guarantee! So signup now and get started. We do also offer no-money-down free trials, but those are only offered occasionally to random accounts.
Actually it sounds like you were offered one of the no money down free trials as mentioned above. Check to see if you can watch videos or do Chess Mentor courses; most of those are restricted to premium members only. Imagine that; RJC and myself both being wrong...What are the odds of that happening...

The only thing I'm cynical about is the guarantee. Joe Idiot sign up and starts using the site. On day 15, he loses a game of chess. Now he starts demanding his money back with you said, you said. BTW, what are the odds of you & me being on at 9AM. Normally we're on at 9PM
If you got a message from Chess.com offering you a free trial then it will provide a link in the message to activate the trial. This includes entering your CC/paypal information which after the ten free trial days they will automatically charge your account to start the membership period. You then have thirty days to ask for a refund and quit the membership if you want.
Chess.com also will send messages to you inviting you to sign up for a membership and see if you like it- you have thirty days to ask for a refund and quit the membership if you decide you don't want it. This doesn't provide a link to the free trial page but just to the membership page to sign up.

My God; Is THAT what new people get?? I never got anything like that. All I get is a repeated message, "Kohai's out to lunch". And Erik won't take my calls either. But every month when he takes my money, I get a pre-recorded message from Jack Nickelson saying, "WE WANT YOU IN THE FORUMS; WE NEED YOU IN THE FORUMS

Take care. When you give Chess.Com your CC or Paypal, you automatically authorise them, to take amounts regularly, forever. There was quite a long thread on this in the forums. If you read the 200 pages of Terms and Conditions it is actually tucked away there somewhere.
My mentor paid for my 1 year premium membership via PayPal. After I read that thread I asked him to check. Sure enough Chess.Com had managed to wrangle it to be a 'regular payment.' I didn't even know you could do that with PayPal.

I paid with bitcoins... and then I got automatic renewal from my credit card.
I had forgotten that I have buy some services from a coach some time ago through the chess.com payment system (that doesn´t exist anymore).
In the FAQs it said that I should specify that I don´t want to renew if I pay with credit card or paypal, but it didn´t said anything about bitcoins.
Take care. When you give Chess.Com your CC or Paypal, you automatically authorise them, to take amounts regularly, forever. There was quite a long thread on this in the forums. If you read the 200 pages of Terms and Conditions it is actually tucked away there somewhere.
My mentor paid for my 1 year premium membership via PayPal. After I read that thread I asked him to check. Sure enough Chess.Com had managed to wrangle it to be a 'regular payment.' I didn't even know you could do that with PayPal.
It says they have the right to automatically renew your membership when it expires unless you cancel the membership. Nothing like your claiming...

That's exactly what I'm 'claiming.'
Read the thread I referred to for the long discussion about the rights and wrongs of that tactic.

My God; Is THAT what new people get?? I never got anything like that. All I get is a repeated message, "Kohai's out to lunch". And Erik won't take my calls either. But every month when he takes my money, I get a pre-recorded message from Jack Nickelson saying, "WE WANT YOU IN THE FORUMS; WE NEED YOU IN THE FORUMS
hahahahahaha !!! @ out to lunch message

You have been offered a FREE TRIAL. Contact chess.com by e mail....support @chess.com.... to see if you can activate this freebie. If you are too slow to activate it IT EXPIRES. Its good try it. If you miss out they may offer you another free trial at a later time. To stRT IT JUST CONNECT to all areas see if it activates.
I was offered this from chess.com http://www.chess.com/membership?c=trial&firsttime=1, and was thinking that i might like to try it out, see what it is like, and decide if i want to purchase it, however, i do not see any way to activate it, how does it work?! thanks