Last modified on 4 December 2011, at 03:05

Algebra/Arithmetic/Exponent Answers

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Problem 1Edit

You tear a piece of paper in half 5 times. How many scraps of paper are you left with?

Answer

You should have 32, or 2^5, scraps of paper left over. The general solution is:

 P = 2^r, where P is the number of paper scraps and r is the number of times the paper has been torn.

An interesting anecdote related to this problem: it was once commonly believed that a piece of paper could only ever be folded 8 times; thus, when unraveled, the paper could contain at most 256 (2^8) sections. However, this was later proven false when Britney Gallivan folded a paper 12 times, and derived a function for the actual number of folds that could occur.

Problem 2Edit

Problem from previous page

Answer

Problem 3Edit

Problem from previous page

Answer

Problem 4Edit

Problem from previous page

Answer