A King in ancient times agreed to
reward the inventor of chess with one grain of wheat on the first
of the 64 squares of a chess board. On the second square the King
would place two grains of
wheat, on the third
square, four grains of
wheat, and on the fourth square eight grains
of wheat. If the amount of wheat is doubled in this way on each of
the remaining
squares, what is the total weight in tons of
all the wheat that will be placed on the first
52
squares? (Assume that each grain of wheat
weighs
1/7000 pound. Remember that 1
ton
=
2000
lbs.)
The total weight of the wheat that will
be placed on the first
52 squares is
tons.
(Use scientific notation. Use the
multiplication symbol in the math palette as needed. Do not round
until the final answer. Then round to six decimal places as
needed.)
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