What can I say/do to get my ex-bf to trust me?

I've never had a boyfriend before Jake. I'm more of a "free-spirit" and don't like being tied down. When we were first getting to know each other me and him hung out and made out, and since I didn't like him at the time and I didn't think it meant anything I made out with this other guy the next day. That was our first problem, because Jake did like me, and he found out. Luckily, he knew since we weren't actually together that he couldn't blame me. So we continue dating and eventually he asks me to be his gf. Then about three weeks later, one night we were at a party I had too much to drink and was "all over other guys" it wasn't anything more than excessive hugging and me sitting on random guys laps but he was really upset. The next day he broke up with me saying that he couldn't trust me anymore. I said okay and left. I don't like to broadcast my feelings about how hurt I am so when people asked about it I just said that "I was sad, but I'm not going to cry about it." We didn't talk at all for a week, and over the weekend I continued my promiscuous lifestyle. However, in the process I realized that I really like him a lot. So I told him that I still liked him, and he said that he was over it and that I was a two-faced girl who can't stay true to her man, and that he hopes one day I realize how to stay loyal to a guy because a relationship is all about trusting each other. But I technically never cheated on him? But then the next day he told me he still wanted to be friends and that if I think he's already forgotten about me and dgaf about me then I'm wrong because he never will. And that he cares about me even if we aren't dating. I have my suspicions that he might still like me, and I'm going to see if he wants to hang out soon as friends and maybe rekindle the fire.. but if that happens what can I say or do to let him know that despite my past I really like HIM.