I would say that 1/2 inch is nearest.
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Eight inches rounded to the nearest half inch is still eight inches.
Yes, of course, you lose more precision if you round to a half inch. Try rounding 0.76 to the nearest half unit, and to the nearest quarter unit, and see what happens.
Go for it! I'm not gonna stop you from measuring to the nearest half inch! This is a bit vague, don't you think?
line segment to the nearest half inch is measured using the distance formula.
Whole numbers are already rounded to the nearest half.