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If I learn Pi to 1000 places will I be a better mathematician?


This post asks an interestimozartng question. So, as a high school student, I go to the trouble (and it would be some trouble) to learn the value of Pi to 1000 decimal places. Will that make me a better mathematician? NO, according to recent research on how we learn. Check out this article on this and other Learning Myths, including the Mozart effect. (Perhaps this picture of the young Mozart shows him reaching into his tunic for his calculator?)

Of course, taking an interest in numbers, like Pi, will help you engage better with mathematics and, hopefully, improve your math grades! Just rote learning is OK to remember the basics (such as your multiplication tables), but does not guarantee improved engagement or results. For example, you might learn the basics of swimming but still not be able to compete in the pool – this takes a different kind of training!

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NCEA Level 2 Algebra Problem. Using the information given, the shaded area = 9, that is:
y(y-8) = 9 –> y.y – 8y – 9 =0
–> (y-9)(y+1) = 0, therefore y = 9 (can’t have a distance of – 1 for the other solution for y)
Using the top and bottom of the rectangle,
x = (y-8)(y+2) = (9-8)(9+2) = 11
but, the left side = (x-4) = 11-4 = 7, but rhs = y+? = 9+?, which is greater than the value of the opp. side??
[I think that the left had side was a mistake and should have read (x+4)?]

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