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 Write-up

Title
Paper Folding

Problem Statement?
If a piece of paper could be folded in half fifty times, what would be the thickness of the folded paper? A ream (500 sheets) of paper is 2 inches thick.

Plans to Solve/Investigate the Problem

I plan to use a spreadsheet to determine the number of pieces of paper after 50 folds.

Investigation/Exploration of the Problem

First, I set up 2 columns to determine the number of sheets of paper after each fold. Then I converted the sheets of paper to inches using the formula # paper divided by 500 and multiplied by 2. I then converted the inches to feet and then to miles.  The stack would be 71,079,540.

 folds sheets inches reams feet miles 1 2 2 4 3 8 4 16 5 32 6 64 7 128 8 256 9 512 2 10 1024 4 11 2048 8 12 4096 16 13 8192 32 14 16384 64 15 32768 128 16 65536 256 17 131072 512 18 262144 1024 19 524288 2048 20 1048576 4096 21 2097152 8192 22 4194304 16384 23 8388608 32768 24 16777216 65536 25 33554432 131072 26 67108864 262144 27 1.34E+08 524288 28 2.68E+08 1048576 29 5.37E+08 2097152 30 1.07E+09 4194304 31 2.15E+09 8388608 32 4.29E+09 16777216 33 8.59E+09 33554432 34 1.72E+10 67108864 35 3.44E+10 1.34E+08 36 6.87E+10 2.68E+08 37 1.37E+11 5.37E+08 38 2.75E+11 1.07E+09 39 5.5E+11 2.15E+09 40 1.1E+12 4.29E+09 41 2.2E+12 8.59E+09 42 4.4E+12 1.72E+10 43 8.8E+12 3.44E+10 44 1.76E+13 6.87E+10 45 3.52E+13 1.37E+11 46 7.04E+13 2.75E+11 47 1.41E+14 5.5E+11 48 2.81E+14 1.1E+12 49 5.63E+14 2.2E+12 50 1.13E+15 4.5E+12 4.4E+12 3.75E+11 71079540

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Author & Contact
Insert name and contact information.
Dottie Mitcham

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