how many times do you have to fold a sheet of paper one sheet of a4 paper in order to reach the moon (theoretically speaking)

The average distance between the Earth and the Moon is 384400 km = 3.844*10¹¹ mm

Paper thickness varies but typically it's of the order of 0.1 mm.

Folding the paper doubles the thickness every fold, so we have:

Thickness after n-folds = 0.1*2ⁿ mm

0.1*2ⁿ = 3.844*10¹¹

n = log₂(3.844*10¹²)

$${{log}}_{{\mathtt{2}}}{\left({\mathtt{3.844}}{\mathtt{\,\times\,}}{{\mathtt{10}}}^{{\mathtt{12}}}\right)} = {\mathtt{41.805\: \!745\: \!474\: \!760\: \!016}}$$

Since we must have an integer value for n, then n = 42

.

WOW!    WOW!    WOW!

Only 42 folds.

That is incredible.   

Maybe the moon is closer than I thought   LOL

Thanks Alan     

Want to fly to the moon with me Melody? :)

https://www.youtube.com/watch?v=eQPiV_cauyI

Of course I will fly to the moon with you!