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6,118 Views • Apr 23, 2024 • Click to toggle off description
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When we first learn exponentiation, we typically learn it in terms of repeated multiplication. So something like 2³ is 8 because we take 2 and multiply it by itself three times: 2 × 2 × 2. This works fine for any positive integer powers, but what about raising something to the zero power?
It seems like if we tried multiplying 2 by itself "zero times", that would probably mean that the result should be zero. But in fact, it makes more sense to let the result be 1. There are several reasons for this, but this activity with folding paper gives us one intuitive reason to expect that something raised to the zero power is 1.
#Exponentiation #MathConcepts #intuitivemathemathematics
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Views : 6,118
Genre: Education
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Uploaded At Apr 23, 2024 ^^
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RYD date created : 2024-05-06T23:02:28.947332Z
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21 Comments
Top Comments of this video!! :3
This is such a good lesson plan. I hope this catches on for math classes. I wish this was taught in my math class.
1 |
End of story!
I feel like I have an "eureka moment!...
An epiphany!!..
This is it!!...
Thank you so much!!
5 |
Am I the only one who thinks it's weird that absolutely everywhere in math class we were told that dividing by zero leads to a mathematical paradox and is therefore undefined, but nobody told us that 0 to a negative power achieves the same outcome?
3 |
I finally understand this in a way that I will be able remember! Thank you!
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2⁰=1 because that means u make no folds, i.e theres 1 square so its one
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That's some interesting stuff 🌟
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I wonder about any power of 3 .
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What about for 3
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...and this could also be a handy way to explain why/how 0^0 cannot equal 1, bc you can't fold nothing any amount of times
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I wonder what 2^8 looks like!
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2⁰=2^(2-2)=2²×2^(-2)=2²×1÷2²=2²÷2²=1
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This analogy only works for base 2
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@Superalex2134
8 months ago
I typically do if exponents are repeated multiplication then to undo it you do repeated division
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