Is floor(x k) = floor(x) floor(k)?
yes it is fallowing the distributive property
That property is not true. Here is a counterexample Assume x = 2.6 and k = 3 then xk = 7.8 floor(xk) = floor(7.8) = 7 floor(x) = floor(2.6) = 2 floor(k) = floor(3) = 3 floor(x) floor(k) = 2 * 3 = 6 So floor(xk) ≠ floor(x) floor(k)
