a checkerboard has 8 squares on a side. at the beginning of a game of checkers, each player has 12 checkers on a board. how many squares do not have checkers on them at the beginning of the game?
If the board has 8 squares on a side it must have 8 * 8 = 64 squares all together.
To find the number of squares that do not have checkers on them at the beginning of the game, we need to subtract the number of squares with checkers from the total number of squares on a checkerboard.
A checkerboard has 8 squares on a side, so it has a total of 8x8 = 64 squares.
Each player has 12 checkers, so the total number of squares with checkers is 2 players x 12 checkers = 24 squares.
To calculate the number of squares without checkers, we subtract the number of squares with checkers from the total number of squares:
Total number of squares - Number of squares with checkers = 64 - 24 = 40 squares.
Therefore, there are 40 squares on the checkerboard that do not have checkers at the beginning of the game.