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.
If a piece of paper could be
folded in half fifty times, how thick would it be?
Solve/Investigate the Problem
Set up an Excel Spreadsheet to
determine the thickness of the paper based on the number of folds.
of the Problem
Set up the Excel Spreadsheet to
determine the thickness of the paper with 0 folds. The result is 0.002 inches which is
equivalent to the thickness of one sheet of paper. With 1 fold the thickness of the
paper is 0.004 inches which is equivalent to the thickness of 2 sheets of
paper. The result of 2 folds is
0.008 inches which is equivalent to the thickness of 4 sheets of paper. At this point a pattern begins to
emerge. It was determined that
the number of folds would produce a thickness that was equivalent to 2
raised to the power that was equal to the number of folds. Therefore, the thickness of a sheet
of paper folded 50 times would be equal to 250. This is equivalent to 71,079,539.57 miles!
Extensions of the
Suppose that you were to drive
from one stack of the paper to the other, how long would it take you to
drive the distance if you traveled 60 mph?
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