Question for Joe Horn, Dieter, and other

[Namir]

Considering real numbers that are very close to integer. That is a real number R is close to an integer I:

R = I + e

Where e = +/- a small number like 1e-8 or even less.

If I represent R using complex number notation (I, e), would the use of complex math operations (adding, subtracting, etc.) between two near-integer-value floating-point numbers, yield more accurate results than straight forward operations between these same numbers? That is, for example:

R1 * R1 is less accurate than? (I1, e1) * (I2, e2)

Namir