HW 6 - Due Friday Feb 24

Do all of the problems indicated.  Write up and turn in the starred problems.  Your solutions should be written clearly so that a fellow UGA student could fully understand your answer (except where directed otherwise).  Include pictures as needed.  Each problem will be graded out of 5 points.

Read sections 10.1, 10.2, and 10.3.


10.1
Practice p. 441: 1-10
Problems p. 442: 2, 3*, 4 (For #3, write your answer as if you were teaching children)

10.2
Practice p. 446: 1, 2, 3
Problems pp. 447-448: 1, 2, 3*, 5, 6, 7
(Though I'm not having you turn in #6 or #7, be certain to fully work out and write up at least one of their solutions.)

Here are some solutions to this homework.

What I liked about these two takes on the first problem was that they didn't confine themselves to shapes made up of squares. Both contain this idea of rearranging the area of eight 1 in. by 1 in. squares into shapes very different from squares.

The solution to the second problem concisely stated the main issue at hand. The two reported distances were presumably measured by means that had different accuracy; the way in which the distances are reported reflect this. Rounding can also account for the difference. In whatever context it was written, rounding to the nearest 1000th kilometer may have been sufficient. Note that the distance 384,467 km cannot be the exact measurement. Such measurements are inherently inexact since there is effectively always a finer ruler that could be used. (Of course these notions become, well, "fuzzy" by the time you get to subatomic scales...)