Tablet not charging while plugged in

I don't know if it's your battery or charger, but Amazon is very good
with customer support. Have you called their customer support?
The number is: 866-216 1072

Check the charger and cable if they are not originally coming with the unit itself.

If they are aftermarket, check if they both on their own can support 2A charging current. For the adapter, its rated ampage should be on the label by ampere. For the cable itself, it must be a SAMSUNG tablet compatible one.

Allow the charger to charge the battery with the tablet OFF over night. The tablet requires MORE power than the charger can provide - but the charger provides enough power to slow charge the battery. In the morning it should be fine - unless the battery no longer can support a charge.

Is the charger working? Have you tried plugging it into a PC?

unfortunately batteries go bad too like everything else.
have you tried a different charger?

either your battery is shot as in dead or your charger is faulty
you could try to charge it using a usb lead in your computer or another usb port to see if that works , or try another charger to eliminate your lead /charger you are using

Are you using the charger that came with the tablet? If you are using a cell phone charger...it will not work. The tablet charger is rated for 2.1 A. Most cell phone chargers are rated for less than 1 A.

Plug it in to a USB on your pc or laptop. Let it charge for 1 hour then try holding in the power button while it is still attached to the computer.

for some reason samsung tablets like the charge from a computer or laptop better than mains power.

The charger has a function that restores the battery operation parameters by discharging then charging the battery a number of times. Refer to charging instructions in the pack but I think the cycle is a 3 hourly one, time to charge from a full discharge. If the charger thinks the battery is dead then it will try to recover the battery using this process. You may have left the charger on long enough to charge then also discharge the battery.
Start again and charge for the time in the instructions ONLY, if you are not sure of the time try it for an hour, then without disconnecting the charger turn the unit on and take particular note of any screen messages, if any.
You should be able to continue as normal now, but still be aware of the time you are leaving the charger connected for, as it may take some time before it returns to normal operation and stops trying to recover what it thinks is a dead battery.

Might be a faulty charging cable I'd suggest buying a new one , also never let the battery run completely dead plug it in before it goes off .