8 of 8 Items .... Type: Definitions

Problems, Questions, and Puzzles to spark discussion and argument in the maths classroom.

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It's not included in the PEMDAS Order of Operations ...

Should \(a^{b^c} = ({a^b})^c\) or should it be \(a^{b^c} = a^{(b^c)}\) ??

Does \(3^{2^0}\) equal 1 or 3?

Let's just consider easy numbers {1, 2, 3, 4} so we can explore. What's the probability that the two methods arrive at the same answer?


.: [ALG1], [Curmudgeon], [Definitions].

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Given the same numbers as we've been working with for a couple of days, along with an extra number X:


X, 12783, 12784, 12785, 12795, 12792, 12790, 12799, 12801

How small (or large) do you feel that value of x should be to be considered an outlier?

And of course, Ben Shabad, full-time graduate student and part-time cartoon-drawing person, had to make the obligatory joke.


W


.: [STATS], [internet], [Definitions].

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Can something be more even than even?

Uber-even?

Arch-even?

Is 6 less even than 4? It has only one even factor while 4 has two.


.: [PROBABILTY], [internet], [Definitions].

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.: [GEOM], [internet], [Definitions].

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Consider the following graph of \( y=\sqrt{x} \)
What is happening at (0,0)?




Is \( x=0 \) an asymptote?
Is this a jump discontinuity at \( x=0 \)?
Point discontinuity?
Asymptote discontinuity?
Infinite Discontinuity?
Tangent?

Do we need a new term?

What do you think?



.: [CALC], [T.R.Milne], [Definitions].

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"Thinking about language precision today and how we often say a triangle has 3 sides and angle sum is 180. Under that definition, would this be a triangle?"


.: [GEOM], [Twitter], [Definitions].

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If the sides curve in circular arcs that are tangent to the base and to each other, is there an angle there?

If so, what is it?

Would it be greater than, less than, or equal to the two base "angles" (if such they are)?


.: [GEOM], [Twitter], [Definitions].
that's it.