I'm going to be connecting a low-voltage 8 ohm amp module to a 4 ohm loudspeaker. Using the same amp and a different speaker, I've done this before without issues. I'm not expecting high-fidelity, just having fun with a project. A vendor suggested putting a 4 ohm resistor between the amp and the speaker which I haven't done in the past.
I have a question regarding the pure mathematics of the setups with and without the resistor. Will I get more or less power out of the amp and more or less volume out of the speaker with the resistor in series? The amp will be powered by a 9-volt battery. Will a 4 ohm resistor in series drain the battery faster?