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Letter folding

If you would fold a letter in two fifty times, how thick should the enveloppe be that can fit the letter? Assume that the thickness of a piece of paper is about 0.05 mm.

Solution

1st time folding: 0.05 x 2 = 0.1 mm
2nd time folding: 0.1 x 2 = 0.2 mm
3rd time folding: 0.2 x 2 = 0.4 mm
...
50st time folding: 2 to the power 50 times 0.05 mm. This is equal to 56.29 million kilometers. Compare this to he distance between the earth and the sun which is about 150 million kilometers!

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