Which Do I Turn Off First?

Hello. I'm almost sure that, before turning on my HP 30-watt 2.1 Speaker System, I turned on the device it was connected to, my Xbox 360. I thought that as long as the Xbox isn't letting out any sound, AND/OR the volume on the speaker is turned all the way down, then this isn't a problem, since if either of these requirements are met then it won't cause a sudden loud noise, i.e. something that would damage/blow the speaker.

I don't have an amplifier or anything. The only thing with power cords are my set of three speakers (one of them is a subwoofer) and my Xbox 360.

I've been doing some research and heard the following is the "correct" way to turn on/off the speaker. First, you turn on the speaker. Then, you turn on the device. When the time comes to turn these off, it's vice versa (device off first, then the speaker).

Is this right/true? Or does it not matter?

I thought for a while the reason behind this was to prevent loud sudden "pop" noises that may occur if it's not done this way. Of course in order for this to happen the volume on the speakers would need to be turned up in the first place, and mine wasn't.

If the "correct" procedure I gave above is true, would you say there's a different reason besides the sudden popping noises, to go by that procedure? Is there something besides what I think that procedure is for, that I don't know about? Such as another way it can cause damage to the speakers?

Thanks for your help. I currently still have the speaker and 360 on, and will not turn them off until I get an answer hopefully soon. Like I said I may have done something incorrectly at first but I'll be sure to get the required knowledge this time.