The zero property states that any number multiplied by zero will always equal zero. In the given problem, 2/3(0) = 0(2/3) = 0, we can see that the rational number 2/3 is multiplied by zero in both cases, and the result is always zero. This demonstrates that the zero property holds true for any rational number, not just the specific rational number 2/3 used in the problem. Regardless of the rational number being multiplied by zero, the result will always be zero.