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)

Guest May 4, 2015

#1**+10 **

The average distance between the Earth and the Moon is 384400 km = 3.844*10^{11} 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*2^{n} mm

0.1*2^{n} = 3.844*10^{11}

n = log_{2}(3.844*10^{12})

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

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

.

Alan May 4, 2015

#1**+10 **

Best Answer

The average distance between the Earth and the Moon is 384400 km = 3.844*10^{11} 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*2^{n} mm

0.1*2^{n} = 3.844*10^{11}

n = log_{2}(3.844*10^{12})

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

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

.

Alan May 4, 2015

#2**0 **

**WOW! WOW! WOW!**

Only 42 folds.

**That is incredible. **

Maybe the moon is closer than I thought LOL

Thanks Alan

Melody May 4, 2015