Mathematics+Activity

Mathematics Activity

We are living in the world. And our world is surrounded by MATH. That's why we cannot live without Mathematics in the world now. My friends and I had a math study. We have some problems. Some of them was easy to solve but others were not easy.. Here are some problems that we did.

1st problem. If you fold a paper, how many times can you fold a paper? 5 times..? 9times..? or..............100 times?? No. You can fold it seven times. WHY? Look at the next line.

First, let's suppose the thickness of the paper 1mm. If you fold it once.. the thickness is 2mm. If you fold it twice.. the thickness is 4mm. If you fold it three times.. the thickness is 8mm. If you fold it four times.. the thickness is 16mm. AND If you fold it five times.. the thickness is 32mm.

Do you find a formula? As you can see this problem is about the square. If the thickness is y and times of folding it is x.. The formula is 'Multiply 2 x times is y'.

Now here is real problem. If you fold it 50 times, how is the thick will be??

Remember multiply 2 x times is y. So you can multiply 2 50 times.

AND THE ANSWER IS 1125899906842624mm IT IS ABOUT 112589907km thick

2nd problem. There is a peaceful kingdom. You are a populace of the kingdom. But one day the bad gangs attacked your country. The king was very sad and he said "If someone drive away the gangs, I will give someone a big price!" You heard that. And then you decided to fight with them and you win!! The king have two prices. But you have to choose one. Here is price, which one will you have? 1. 1,000,000 US dollars. 2. Plus the all of money that is on the chess board.


 * 1cent || 2c || 4c || 8c || 16c || 32c || 64c ||
 * ||  ||   ||   ||   ||   || 128c ||

Each squares the price of money is getting bigger and bigger!! Do you know the formula? The money is multiplied 2 by the number of (the number of square minus 1). As you can see the 1st square is 1c, the 2nd square is 2c, the 3rd square is 4c, the 4th square is 8c, the 5th square is 16c, the 6th square is 32c, the 7th square is 64c and the 8th square is 128c!

So the number of 64th squar is 18446744073709552000cents! And then you can plus all of these money!

Which one will you choose? Maybe I will choose a chessboard.:D