Problems with Zero - Numberphile

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Dividing by zero, zero divided by zero and zero to the power of zero - all pose problems!
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NUMBERPHILE

Videos by Brady Haran

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"glorified adding" is the best description of multiplying ever

HECKproductions

"Only a nerd would tell you differently."

*cuts to Parker* - Sooo, first of all [...]

tiagojoseazevedoalvares

Matt is very smart for a guy who writes infinity as double zeroes instead of a laying eight

UnexistingChannel

A video featuring both Matt and James is such a lovely treat. They are infinitely different.

ralfoide

"BUT, if I am naughty..." Oh baby, talk nerdy to me~

pltergeists

My 7th grade algebra teacher would only whisper of dividing by zero because it would “upset the calculator gods”. He was one of my favorite teachers ever.

robotiquebleu

12:49 "we could make it anything we want it to be depending on the angle we come at it from"

sound life advice right there

gaymare

For the "why does it return Error in a computer" question, the division assembly instructions (at least for x86) are designed to generate an interrupt when the divisor is zero. In other words, they are told to error out.

snbeast

*Santa:* You don't get presents this year because you were naughty
*Mathematician:* What! Why?
*Santa:* You used infinity as an answer

MinecraftStonewideos

Now, I had always been taught that X/0 was "undefined", while 0/0 was "indeterminate". The logic behind this is that the denominator (or "divisor") should always be able to be made equal to the numerator, by multiplication with some factor.

So, for example, 1/2 = .5, thus 2 can be made equal to 1 by multiplication with.5. However, in the case of X/0, there is no factor that can make 0 = X, since 0 times ANYthing is always 0. So, there is no correct answer, therefore, the problem is "undefned".

On the other hand, in the case of 0/0, literally ANY factor will make 0 equal to itself, so there is no INcorrect answer. Thus, in essence, any value is equal to any OTHER value, which is impossible. Therefore, the problem is called "indeterminate", since one cannot determine what value best solves the problem.

flurng

3:05

Draw infinity as a continuous loop not two circles!!!

ospreytalon

"The problem is it's a dangerous number and a lot of things can go horribly wrong with 0"
"Mom I got 0 in maths"
*UH OH*

andreaslam

An accountant, an engineer, and a mathematician are asked how much is 1 + 1:
Mathematician: "1 + 1 is 2 and I can prove it"
Engineer: "Well, 1 + 1 is anything between 1.8 & 2.1"
Accountant: "It depends. How much do you want 1 + 1 to equal?"

rhynosouris

6:10 Yes, computers are taught not to divide by 0. The reason is because bitwise math operations are only add and subtract. Multiplication is just repeated adding, while division is repeated subtracting. If you divide by 0, you are telling the computer to subtract 0 from the original until the value of the original is <= 0 and count how many times it needed to subtract it. Older mechanical calculators will get stuck in a loop, so they had a stop button.

puppergump