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In the legend of the King and inventor of the chessboard how many grains of wheat were on the 9th square of the chessboard?
Wiki User
∙ 12y ago
256 grains of wheat?! Quote: According to legend, Chess was invented by Grand Vizier Sissa Ben Dahir, and given as a gift to King Shirham of India. The king was so delighted that he offered him any reward he requested, provided that it sounded reasonable. The Grand Vizier requested the following:
"Just one grain of wheat on the first square of a chessboard. Then put two on the second square, four on the next, then eight, and continue, doubling the number of grains on each successive square, until every square on the chessboard is reached."
The king thought this a very modest request, promised it, and asked for a bag of wheat to be brought in. However the bag was emptied by the 20th square. The king asked for another bag, but then realized that the entire bag was needed for the next square. In fact, in 20 more squares, he would need as many bags as there were grains of wheat in the first bag!
The number of grains in the last square can be calculated by multiplying 2 times itself 63 times. (This can also be written as 2^63.) You can easily work this out on a pocket calculator. The answer is 9223372036854775808 which is approximately equal to 10^19. (It is actually closer to 0.922 x10^19 = 9.22 x10^18). If you include the grains on the first 63 squares, the sum is about twice as large (but only twice as large! Do you see why? Try it will smaller chessboards, maybe one with only 4 squares. You'll see that you always put more on the last square than on all the preceding squares.)
If all these grains were stacked into a cube, the cube would have 2,642,000 grains on each edge. (If you cube 2,642,000, you get 2 x10^19.) If each grain were 1 mm in size, then each edge would be 2,642,000 mm = 2,642 meters = 2.6 km. The cube would be 2.6 km long, 2.6 km wide, and 2.6 km high. It wouldn't fit on a chessboard.
The amazing feature of this problem is that with just 64 steps, each one quite modest (you are only doubling) you get a huge number. This type of rapid growth is called exponential growth.
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∙ 12y ago
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What is this number 9223372036854780000?
The number of grains of rice on the 64th square of a chessboard if you put one grain on the first, two on the second and double it again for every other square.
How should you position a chessboard?
A chessboard should be placed between opponents where the lower right-hand square is a 'white' square . (Rook on white.)
If you had a chessboard and on the first square you put 1 grain of rice then on the second square you doubled the amount how many would you have on the 64 square?
To solve this, observe that a chess board is an 8×8 square, containing 64 squares. If the amount of grains doubles on successive squares, then the sum of grains on all 64 squares is: This equals 18,446,744,073,709,551,615 (18.4 quintillion). hope that helped XD xx
What do you call a 64 square chess board?
An intact chessboard .
How do you position a chessboard?
White square is on the lower right corner.
How many square s are there in a normal chessboard?
In chess there are 64 squares white and black
What are the examples of square shapes?
Some examples of squares are chessboard, carom board, square rubber stamps, and tiles on the floor.
Inventor of L-square?
The inventor is not known.
A chessboard has an area of 100 square inches What is its perimeter?
40 inches
How many ways can you place 64 pawns on a chessbord?
64 pawns upon a 64 square chessboard - one pawn per square .
Consider a chessboard with dimensions n×n, where n is an odd integer greater than 1. If you place a rook on any square of the chessboard, how many squares can it attack (i.e., threaten to move to) without moving from its initial position?
when you place a rook on any square of an � × � n×n chessboard, it can attack 2 � − 1 2n−1 squares without moving from its initial position. This includes attacking all squares in its row and column except for its own square, which is counted once.
What are the release dates for Getting Square with the Inventor - 1910?
Getting Square with the Inventor - 1910 was released on: USA: 18 January 1910
