i use my labtop a lot to watch movies so do you guys think if i hooked my air up through hdmi it would save battery since i could turn off the actuall labtop display
probably it'll save you some battery life. But why don't you dock it when watching a movie on an external screen (you probably own) that has to be powered anyway?
Yes, sending sound and video out through your TV will boost your battery life by a substantial amount. Although if your going to be hooking up your macbook air anyway... why not plug in another cable to charge?
i use my labtop a lot to watch movies so do you guys think if i hooked my air up through hdmi it would save battery since i could turn off the actuall labtop display
Just plug it in if you're watching movies. There's no need to run on battery, if you're having to plug in a display. This should answer most, if not all, of your battery questions:
Docking it means it's no longer a portable unit. If you're connecting an external display, your only as portable as the cable allows you to be. In that sense, you might as well connect the power cord.