Mathematics+Activity

1. The Roald Dahl activity

If you don't fold the paper, the thickness of the paper is 1mm. If you fold the paper one time, the thickness of the paper is 2mm. If you fold he paper two times, the thickness of the paper is 4mm. Then, if you fold the paper fifty times, how much the thickness of the paper is.

Explanation) If you fold one time, the answer is 2 If you fld two times, the answer is Then if you fold fifty times, the answer is And it is 1125899906842624mm.

2.The chessboard activity A long time ago, there was a kingdom. On day, a gang invaded the kingdom, but the kin couldn't destroy them. So, the king said, "If someone destroy the gang who invaded the kingdom, I will give him a lot of money." Finally, a brave man destroy the gang, so he could choose two methods to receive money.
 * $10,000,000
 * Put 1 cent, 2 cents, 4 cents... on the chss board(and it has 64 squares)

Explanation) If you see this tble, you will find a mathematical formula. Y is money to get, and X is the number of the squares that yu put a coin finally. Then, substitute 64 to X. The answer is This is 18446744073709551615 cents. 1846744073709551615 cents is $184467440737095516.15 It is much bigger than $10,000,000
 * 1 || 2 || 4 || 8 || 16 || 32 || 64 || 128 ||
 * 256 || 512 || 1024 || 2048 || ... || ... || ... || ... ||