Category Archives: Uncategorized

Digit Manipulation part 2

Still… between this blog and the YouTube video, there doesn’t seem to be a good explanation for why the answer to a digit manipulation comes to the magic “1” proposed by other proofs instead of some other number. To recap: … Continue reading

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Digit Manipulation part 1

One popular proof for .999… = 1 than I enjoyed back when I was foolish enough to believe it true was through digit manipulation. Observe: x = .999… 10x = 9.999… (both sides of the equation are multiplied by 10) … Continue reading

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The Geometric Proof

I know my critics will probably get upset with me for spending so little time on the argument that they think is the strongest proof for .999… equaling 1, but it really doesn’t take long to explain why this is … Continue reading

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Cantor’s Diagonal “Proof”

In the effort to demonstrate how infinity comes in different sizes, many teachers bring out Cantor’s Diagonal Proof to show how this is true. It simply isn’t necessary, especially since figuring out why the diagonal proof doesn’t work may lead … Continue reading

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A Paradox to Consider

The dictionary defines a paradox as a “seemingly” or “apparent” self-contradiction. It’s often used to describe two things that strike us as both true and mutually exclusive, which would make them impossible. And they always are just “seemingly” mutually exclusive … Continue reading

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What’s the Largest Number?

You don’t have to answer the title — it’s a loaded question. There doesn’t appear to be a largest number. Whatever number you think is the largest can always be multiplied by 10 to add a digit, just like the … Continue reading

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A Mind-Blowing Proof

In a past blog, I provided a very simple proof to show that .999… does not equal 1, and that was simply to subtract .999… from 1 to get a non-zero number. This hasn’t convinced any believers (that I know … Continue reading

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