The Dynamite-O-Mote (commonly called the Dynamite Remote) can be used to remotely detonate one or multiple Dynamite sticks. This is performed by right-clicking on the stick while holding the Remote. If you do this, the "primed" dynamite stick will have a lighter-colored cap on top; this is so you can tell which sticks have or haven't been primed.
Note that right-clicking with the remote while aiming at a block will NOT detonate the Dynamite, however, right-clicking into the air WILL detonate it, so don't make a wrong click!
It is possible to have several different Remotes assigned to different sets of Dynamite sticks.