I think that's true but I think even better if you can pay the $100 on the 10th. The more balance you carry, the more interest you pay. You are right that they compound the interest daily.
I pay my bill as early as possible (as soon as we get the paycheck that the bills come out of). When I have extra money, I pay it asap, I don't keep it until the next payment is due. Saves a little interest and makes sure the money goes to that debt as planned.
It might only be a little bit but those interest amounts do add up!