Newspaper Tearing & Stacking

A single sheet of newspaper is .01 cm thick. Tear it in half and stack the two halves together. Tear the two halves in half and stack the 4 pieces together. Keep it up. How tall is the stack after 25 tears? How many tears do you need to get a stack that is 1 meter high?


Show/Hide Solution

 

tears thickness
0 0.01 cm
1 0.02 cm = 2 x 0.01
2 0.04 cm = 22 x 0.01
3 0.08 cm = 23 x 0.01
.
.
.
13 81.92 cm = 213 x 0.01
14 163.84 cm = 214 x 0.01
.
.
.
25 335544.32 cm = 3355.4432 m = 3.4 km

By the 14th tear, you’ll have a stack more than 1 meter high. Try it!

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