A gaming device that incorporates mechanical display devices to provide a player-selectable award feature that may be implemented with a primary or bonus game. The gaming device randomly generates a plurality of digit positions or places of an award and enables the player to pick which position or digit receives a first randomly generated number, which digit receives a second randomly generated number, etc., until each of the positions have a number, whereby the gaming device determines the player's original award. The player can elect to modify the original award using a plurality of methods to create an ultimate award. The gaming device display the digits, digit positions, and modification methods.