My Problem
The battery in the Nano I found was dead. I guess that's why it was thrown out.
My Fix
The repair was relatively easy and straightforward
My Advice
Watch out for those ribbon cables--they're easy to disconnect by accident when reassembling the case. I got everything back together the first time only to find that I had no LCD display (but I knew the Nano was active when I synced). Also, watch out not to solder the battery leads too close--they're just the right length to stretch from the battery opening to the power connection.
Written on October 17, 2011