Paper folding


#1

Suppose I have a piece of paper that is 0.1 mm thick. I fold the paper once so that it is then 0.2 mm thick. I then fold it again so that it is 0.4 mm thick. How many times can I fold the paper until the thickness exceeds the distance to the moon?


#2

If the moon is 238,900 miles away, you’d have to fold the paper 2^n times where n=42 because:

Distance to the moon: 238,900 mi times (1609.34 m)/(1 mi) = 3.84 times 10^8 m

Number of folds: 2^42 = 4.4 times 10^12 m, which covers the distance to the moon.