Rice and chess problem.
LEGEND OF THE ORIGIN OF CHESS.
A sage who invented the game of chess. He wanted to teach his king a lesson in humility.
The aim of this activity is to know this legend and analyse it from a mathematical point of view.
BRIEF DESCRIPTION OF THE MATERIAL.
For this activity we only need a chess board and wheat grains.
CONTENTS THAT WE CAN WORK ON.
We can work powers, large numbers and small numbers (scientific notation).
PROBLEM-SOLVING.
In a chessboard it has 64 squares (8x8) and the number of grains is doubled in each one, then the sum of grains is 1 + 2 + 4 + 8 ... and so on a total of 64 times. In the last box there will be a total of 9.223.372.036.854.775.808.
In the form of power it is 20+ 21+22+23... and so on until to 263
The base is the number 2 which expresses that it will be double in each square, while the exponents represent the position of each square: 1 for the 1st square, 2 for the second, 3 for the third, and so on.
It consists of doubling the power of two and accumulating the corresponding sum.
T64 = 1+2+4+...
18446744073709600000 g = 480.383.960.252.853 kg.
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20.000 g/kg
480.383.960.252.853 kg / 480.383.960.253 Tons.
RESULT.
In total, it acquired 480.383.960.252.853 kg / 480.383.960.253 tons.
Manal Ammari, Marwan el Mir, Ghizlan el Gouy, Ikram Zerouali.