Final answer:
After a laser vision correction reducing the power of the eye by 9.00 D with a ±5% uncertainty, the range for corrective lenses could be -0.45 D to +0.45 D. The patient was nearsighted as the procedure involved reduction of the eye's power. To correct hyperopia, the cornea's curvature should be made greater.
Step-by-step explanation:
Laser Vision Correction and Diopter Range
Following a laser vision correction procedure, such as LASIK, that reduces the eye's power by 9.00 diopters (D) with a ±5% uncertainty, the range for corrective lenses post-procedure can be calculated. Assuming perfect correction, the patient would need no additional correction. However, with the uncertainty, we must find the range which is 5% of 9.00 D (which is 0.45 D). Thus, the range of correction required could be from -0.45 D to +0.45 D (potentially from 8.55 D to 9.45 D, but since we're discussing a reduction, it would typically be shifting from slightly less nearsighted to slightly more nearsighted than the intended correction).
As for the pre-procedure condition of the patient, they were nearsighted (myopic), as indicated by the need to reduce the power of the eye. Nearsightedness is corrected by decreasing the optical power of the eye to move the focal point from in front of the retina to on the retina.
Correction for Hyperopia
To correct hyperopia (farsightedness), the cornea's curvature should be made greater to increase the eye's focusing power. Consequently, the focal point is moved from behind the retina to on it, thereby improving vision at closer distances.