I'm new to this, so please go easy on me. I have little to no electrical expertise.

I am trying to light a chain of 10 yellow LEDs. They are listed as 2.0~2.2v (20mA). I have them all connected correctly. When I stick a coin cell battery up to one, the whole chain lights up, so I know they are all connected correctly to each other. From this point, I'm trying to hook up a battery pack that has an on/off switch. It is a 2 AA battery pack. I'm guessing that I need to add a resistor of some sort along the way. I tried putting a 47k Ohm resistor right before the first LED. I'm guessing this is wrong, as nothing happens when I have the battery pack connected. What kind do I need to use? How many? Where do I place them? I've included a crude sketch of the project for laughs. Any help would be appreciated. Thanks.

 

Try running the LEDs at less than 20mA each.
Change your 47K resistor to a 10R (not 10K) and see how that goes.
Although it is often done, connecting LEDs in parallel is not ideal. Series is better but then you need higher voltage.
Please note. LEDs are current devices, not voltage. They just happen to have a relatively constant voltage drop when in use.

A quick search came up with this earlier post that you may find helpful...
https://forum.allaboutcircuits.com/threads/connecting-and-driving-multiple-leds.170708/