The moon takes approximately 27.3 days to revolve around the Earth and the same amount of time, 27.3 days, to rotate around its own axis. This synchronous rotation means that the moon's rotation period matches its orbital period, resulting in the same side of the moon always facing the Earth. To find the total time for both actions, we add the two periods together: 27.3 days (revolution) + 27.3 days (rotation) = 54.6 days. Thus, it takes approximately 54.6 days for the moon to complete both a revolution around the Earth and a rotation on its axis.