Recent content by dfollett76

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    Why do negative numbers behave differently when multiplied?

    Sorry, but not really. I should clarify. I'm looking for an example that I can share with my 9th grade students. :smile:
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    Why do negative numbers behave differently when multiplied?

    I'm looking for a good/simple explanation for why the rules for multiplying signed numbers are the way they are. i.e. why does (-)*(-)= (+); (-)*(+)=(-); etc. Also, I'm looking for some good real world examples to where these situations apply. Thanks for you help.
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    What Is the Resistance of Each Resistor in a Modified Cube Circuit?

    There's a better way to draw a flat "resistor cube" that doesn't involve overlapping any wires. http://img149.echo.cx/img149/5425/resistor8pc.gif In these circuit diagram problems it always helps me to imagine the wires as these infinitely stretchy/bendable entities that just have to stay...
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    Complex Number Proofs: Solving for z and z^-1 in a Cosine Equation

    Yeah, the way the problem was stated it totally looked like it was setting you up for a proof by induction. But you wouldn't need to prove it true for n=2, the problem allows you to assume it's true for n=1 (no proof necessary) so proving it true for n=k+1 when assuming true for n=k would be...
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    What is the Simplest Way to Find the Square Root of i?

    Interesting. "Algebraically closed"? Does that just mean the set is closed under the operation of taking roots?
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    What is the Simplest Way to Find the Square Root of i?

    Excellent, I got to finding that (1+i)^2=2i. So that makes sense.
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    What is the Simplest Way to Find the Square Root of i?

    I'm pretty sure the answer is of the form a+bi where a,b are non-zero.
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    What is the Simplest Way to Find the Square Root of i?

    Does i, the imaginary number, have a square root? This was bothering me for a while, then I thought I happened upon a simple solution, but have since forgetten. \sqrt{i}=?
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    Max & Min Problem: Find Two Positive Numbers

    Oh right, my bad. Just the sort of thing I'd get on a students case about writing, I'm such a hypocrite. :(
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    Integrating dy/dt = ky: Understand dx, dy & e^{kt} + C

    Yeah, \int d(insert anything here) = (insert anything here)
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    My Mom, the New Skeptic: Exploring a New Belief at 68

    Some Christian Fundamentalists date the Earth at only 6000 years by using the lineages in the Bible which I believe connect Christ all the way back to Adam and Eve. However, being a creationist merely means that you believe the Earth was created whether by a natural scientific sort of process...
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    Prove that primes of the form 4n+1 are infinite

    A prime of the the form 4n+1 is a prime that is equal to one more than four times an integer. In other words the prime when divided by four has a remainder of 1. 5, 13, 17, 29 are examples of primes of the form 4n+1. 5=4(1)+1 13=4(3)+1 17=4(4)+1 29=4(7)+1
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    Prove that primes of the form 4n+1 are infinite

    Hmmmm... Try doing a proof by contradiction.
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    Testing How Challenging Is the Secondary Math Praxis II Exam?

    Has anyone out there taken this exam? It's required in most places in the U.S. to get a Secondary Math Teaching License/Credential. I'm taking it in June. Any advice? Was it hard? Easy? What should I study?
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    Finding the Area of ABMN: A Geometry Problem

    Your welcome. And that's true for any rectangle? How interesting.
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