Rounding(A+B) == Rounding(A) + Rounding(B)?

Question

Could I say Rounding(A+B, n) == Rounding(A, n) + Rounding(B, n) ?

For example:

Rounding(23.56 + 76.44) = 100
Rounding(23.56, 0) + Rounding(76.44, 0) = 24 + 76 = 100
Rounding(23.56, 1) + Rounding(76.44, 1) = 23.6 + 76.4 = 100
Rounding(23.56, 2) + Rounding(76.44, 2) = 23.56 + 76.44 = 100

Answer 1

In short, the answer is No.

Consider a counter-example: Rounding(1.5,0)+Rounding(1.5,0)=2+2, which in not equal to Rounding (3,0).