With most of the TI calculators, you have to press the "2nd" button (usually in the top left corner, by the screen) and then the "ON/CLEAR" button (usually in the top right corner, by the screen).
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To turn off a Ti 83, 84 (including silver), or 89, follow these steps:
If you look closely, you can see small font above the on button, usually blue. This font refers to the function associated with the [2nd] button.
Alternatively, you can just let your calculate sit, without pressing any buttons, for 3 - 5 minutes and it should turn off automatically.
Quick fact: A calculator that turns off (either manually or automatically) will turn back on to the scree that it turned off on (with very few exceptions.)