I don't think I would leave it outside overnight, until your night temperatures stay above 45º F. While your Jade might be able to tolerate an occasional night as low as 40º, it would be a risk. If the temperature dropped below freezing, it would probably kill your plant. JMO, though.

"Isn't it enough to see that a garden is beautiful without having to believe that there are fairies at the bottom of it too?" - Douglas Adams