Homework September 18: Babylonian word problems and factors
Unquestionably, the
structure of the word problems from the Babylonian era does mirror the ones we
have today. While they attempt to apply to the real world, one would argue that
some of the problems are more hypothetical in nature.
One of the points that
stood out to me, was that the Babylonian problems were labelled as “practical”,
yet many of the problems extended beyond the nature of a habitual task that the
Babylonians or other civlizations would partake in. For example, a grain pile
of 36-48 cubits (18-24 m) high is difficult to imagine let alone actually create.
Moreover, I found it highly interesting that
the Babylonians would compromise precision for solutions that were more
appealing. For example, when solving right-angled triangles and trying to find the
length of one of the legs or the diagonal, they would opt for the integer
answer so as to avoid fractions. Perhaps, it was due to the literacy of other
people and keeping it in integers would make it easier to explain.
Alternatively, certainly, it would be easier to make further calculations with
integers as opposed to fractions.
OK -- a reasonable commentary here, though you could go deeper with this!
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