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TI calculators have an annoying habit of dimming the screen when the batteries are changed so that it appears as if the calculator isn't turning on. Turn the calculator on (or at least press the ON key). Press and release the 2ND key. Press and hold the Up-arrow key for a few seconds and see whether the screen becomes legible. If this doesn't do it, please reply to this post and we'll go on from there.
Solution 11900: Troubleshooting a TI Graphing Calculator That Will Not Turn On.
For the TI-83 Plus Family, TI-84 Plus Family: Caution: The resets described in these troubleshooting steps will cause a loss of applications, programs and data. If at all possible please create a backup using TI Connect™ first.
Try a new set of AAA batteries.
Adjust the contrast by pressing and releasing the [2nd] key followed by pressing and releasing the up arrow; repeat as necessary. To adjust or lighten the display, use the down arrow.
Remove one of the AAA batteries. Press and hold the [CLEAR] key. While holding [CLEAR], reinsert the AAA battery and then turn the calculator on. The calculator should display the message "RAM Cleared". Release the [CLEAR] key and then press it one more time to remove the message.
Remove one of the AAA batteries. Press and hold the [DEL] key. While holding [DEL], reinsert the AAA battery and then turn the calculator on. The calculator should display "Waiting...Please install calculator software now". Follow the instructions for the TI-83 family or TI-84 Plus family to reinstall the calculator operating system.
Remove all of the batteries including the round lithium battery for 5 minutes. After the 5 minute period, reinsert all of the batteries and turn the calculator on. Adjust the contrast if necessary.
These instructions are from education.ti.org, and worked for me.
1) Take out one of the AAA batteries
2) Hold down the CLEAR button
3) Put the AAA battery back in while still holding down the CLEAR button
4) Let go of the CLEAR button and turn the calculator ON
5) Press CLEAR to get rid of the error message.
Then you should be good! All the applications on my calculator were still intact, so despite the error message, the RAM was never actually cleared.