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To calculate your final score, we first need to determine how many points you got wrong on the test.
If you got an 83 out of 100, you got 17 points wrong (100 - 83 = 17).
If your teacher is giving you half points back for each wrong answer, then you would get back half of those 17 points, which is 8.5 points.
Add the 8.5 points back to your original score of 83:
83 + 8.5 = 91.5
Therefore, your final score would be 91.5 out of 100.