Addition of even number

Question

Find the smallest number which should be addded to 12.95 to give an even number 

Answer 1

smallest number would not be -0.95 (producing total 12, which is even), because a smaller additive number might be -12.95, producing 0 (which is even), but in general the addition of any number -(k+0.95) where k tends toward infinity, will always produce an even result.

Therefore there is no SMALLEST number satisfying the problem.  Note that the definition of "small" is the difficult part of this question. On the number-line, of any two numbers, the one further toward the left is the smaller of the two.

Every negative is therefore smaller than 0.