But as it sits right now, the battery screen says:
61% Discharging - 9h 59m 53s on battery
So does that mean I have 9h left on the battery or what?
No, it simply means that it's been almost 10 hours since you took it off the charger.
I suggest you get the Bada$$ Battery Monitor (substitute 'ss' for '$$'). It sits on the Notification Bar and gives you percentage in single digits. When you pull the bar down it gives you time left and battery temperature. When you press the app itself you have access to a lot more battery information.
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