What is the nearest half?

Answer 1

The nearest half is the half which is within the range of the number plus or minus 0.25, but excluding the bottom number of the range (ie the number minus 0.25 itself); the half will either be a whole number, or a whole number plus a half (ie 0, 0.5, 1, 1.5, 2, ...):

example, the nearest half to 1.2 is:

Range is (1.2 - 0.25, 1.2 + 0.25] = (0.95, 1.45]

The half in the range is 1.0, so the nearest half to 1.2 is 1.0

example, the nearest half to 3.25 is:

Range is: (3.25 - 0.25, 3.25 + 0.25] = (3.0, 3.5]

The ends of the range are both "halves", but numbers are rounded up when exactly half way, the lower end is excluded from the range and the upper end is used. The nearest half to 3.25 is 3.5.