"I want to buy no sheep, I'll give you no pounds" That's the old school version. The 2000s version is "I want to buy no sheep, I'll give you no pounds plus a 10 pound processing fee".
If you don't understand "zero" I am not going to let you drive my car because you won't put gas in the tank. I'm pretty sure that farmers that over-wintered animals understood "nothing" as well. The stockpile of food for the animals and the other stockpile of food for the humans could get empty before spring. That would be a horrible disaster for the people depending on it. They either understood "running out" or they died. I don't believe this "didn't have the idea of zero" stuff. And empty plate, and empty cupboard, an empty barn, all of these were just other names for nothing.
I see this comment posted 2 years ago, the first reply 2 weeks and the second reply 2 days Therefore 2+2+2=6 My comment will be posted 1 second ago, the time it takes to refresh the page and find this comment again would be 5 seconds 6-(5+1)=0 0 is even
I remember as I child someone in school told me that there are numbers less than zero, and I almost didn't believe them. They said "yeah, they're called 'negative numbers'" and I was in shock
@@mcvibing2785 exactly what I was saying. Debt is just saying “when you have more sheep, give some to me.” It’s just in your head, it doesn’t actually exist.
I honestly always thought zero was even because of when I was like six and we would line up in pairs at school, I concluded that zero was even because odd numbers always have someone left out with pairs, but even numbers don't, and since 0 doesn't have anyone left out it must be an even number. Now that can just be said as "divisible by two"... I love the way my brain worked
@Brianna Love Well, in Finnish, the word for ”odd number” is: _”Pariton Luku”_ (lit. ”Pairless Number”), and for ”even number”, it’s: _”Parillinen Luku”_ (lit. ”Paired Number”). 😅🇫🇮
@@pepe6666 It could have been me, just as well; and probably would have been, if being pair with the teacher had been a thing, for us. My sympathies. :(
1 2 4 8 7 5 what do these have in common? what does 3 and 6 have in common? and why is 9 the only number that always reduces back to 9 from multiples of it self? ie 9x4 = 36 3+6=9 or 9x52743=474687 4+7+4+6+8+7=36 3+6=9.
Dominik Brame some magic the gathering cards reference odds and evens and on every card that mentions them they say that zero is even. It’s kinda become a joke I’m the community
2 / 2 = 1, so 2 is even 10 / 2 = 5, so 10 is even 0 / 2 = 0, so 0 is even The pattern is that they all become whole numbers when divided by two. Nobel Prize now.
Nope.. it's sort of not a number... -1, -2, -3 are counting backwards, +1, +2, +3 Is counting forward.... 0 has neither a + or -. Zero belongs at the start of an equation like a capital letter ie 0+6/+2+(0+1+2)= 0+1. I'd say people have lost their mind with maths, but maybe they never had it.
MrBlueSky Is zero even a number divisible by two and can be added by two numbers and can be added with another number that is not divisible by two and become a number that is not divisble by two?
Farmeryeti I think that most people intuitively thinks of 0 as even, but after learning more about 0 and how it acts in a weird way in many cases, like how 0 is neither positive nor negative, and how you can't divide by 0, some people might start to question whether 0 is actually even or if it's neither even nor odd. Apparently it does fit in well with the even numbers though.
I wouldn't have a delayed reaction if someone asked me if zero was even, and this video helps me be even more sure about my answer. - But I might be the odd one out.
I think I would have. Zero is a weird number that kinda follows it's own rules (you can't divide by it, anything multiplied by it is zero, stuff like that) and if you're asking me that I will assume you're tricking me (like asking "is a banana a berry") Ps: swede?
Brady's logic to even numbers, if they're round. So let's list them: Even numbers; 0, 3, 6, 8, 9 Odd numbers; 1, 4, 7 2 and 5 are both odd and even; Odven? Evedd?
Also, algebraically, an odd number is a number that gives a whole number when doubled and minus or add 1: 2n-1 is odd, and so is 2n+1 Let's say, for 0 to be odd 2n - 1 = 0 2n = 1 n = 1/2, but because n in this case isn't a whole number, in fact halfway between, 0 can't be odd, so is even. Moreover, using the same calculation, an even number will always be something and a half, for example 2n - 1 = 2 2n = 3 n = 1 and 1/2 2n + 1 = 10 2n = 9 n = 4 and 1/2
Slightly at a tangent, grammatically-speaking zero is plural. Consider - "There are two cups on the table" - Plural "There is one cup on the table" - Singular "There are no cups on the table" - Back to plural
For base 10: Every number with an even digit in the ones place is even. Every number with an odd digit in the ones place is odd. Every number with a zero in the ones place is even. QED zero is even.
My issue with negative one is its root is imaginary. And something tangible coming from something imaginary :p causes a lot of headaches in a philosophical sense.
Another thing you could say is that two odd numbers added together will make an even number, but when adding zero to an odd number it remains an odd number
namn Just to add that we have "Algebra" thanks to his works in this field and unknowns (he'd call them Filān_x_ and Bahmān _y_) in his book Ilm al-jabr wa'l-muḳābala.
Shashank Jaiswal well, khwarizmi didn't claim to invent anything. but instead his book was an in depth study that used greek, indian, and babylonian mathematics and *built on it with his own techniques.* also, while only certain rules of quadratic equations were defined in india and greece, it was his book that clearly brought together the knowledge and set the foundation for what we have today.
Yes, it's the ultimate even number. Zero is the most important number in mathematics. It's the origin of the Universe. The here and now. The center of future and past. The only spot in the universe we can be absolutely sure about and we're always right in the middle regardless of where we think we are.
i dont understand much about math, but i think looking at the numbers that even number is a number between two odd numbers.. so 1 and -1 are odd.. 0 must be even :)
6:12 This is interesting. As a software engineer who uses Oracle databases you actually have a value called NULL which means "nothing". If a value is NULL it acts completely different when used in operations than a value 0, which is numeric. A string of text for instance that is not saved can be NULL, but it cannot be 0. Multiplying by NULL also returns NULL , like zero, but If you add a value to NULL you will also still have NULL. If you divide by NULL you will have NULL as well. in logical operators such as "equals to" it gets even weirder. if you have a branch in a function for instance "if variable = NULL" the expression will alwayus be false, even if the variable contains value NULL. if you have 2 variables, and both are NULL and you ask "if var1 != var2" (!= means "not equal to") it is also FALSE. an operation with NULL does not only always return NULL, it is not even equal to... itself.
Null as implemented in many programming languages doesn't mean nothing. It means (essentially) "I don't know". That's why nulls propagate. A simple example: If I say "1 plus something equals what?" You'd probably ask "What is something?". I'd shrug my shoulders and you'd then say. "I don't know." 1 + NULL = NULL. Multiplying or dividing by 0 is a bit trickier though so the explanation isn't as clean as this.
1:50 a little correction, Al Khorezmi was the founder of modern Algebra and algorithms. The word Algebra is taken from this scholar, and he was not from North Africa, he was from Central Asia. Khorezm, which is currently in the territory of Uzbekistan.
My friend asked me one time "What is one of the greatest discoveries?"...of course..I said electricity(which is an obvious one)...he then tripped me out with the discovery of zero...what is great irony w/ zero is even though by itself zero = nothing...put it next to a 1 - 9 #...and it makes its sum larger...that is the best case of irony I can think of...
+Arc Kocsog The only reason for that is to make profit for the casino. When you bet on even, and it's correct, you get to double your money. But there are 18 even, 18 odd and one zero on the board IIRC (37 possible outcomes in total). So if you put M euros on it, the average amount you get back is: (18/37) * 2M + (19/37) * 0 = 36M/37. So on average, you always get less back than you put into it, and the 1/37 left over is the profit for the casino. Another way to visualise it: say there are two persons gambling, one always puts €10 on even, the other puts €10 on odd. For most runs, the result would be even or odd, and the casino wouldn't gain or lose anything. But for on average 1 in 37 runs, the outcome will be a zero, and the casino will get the complete pot of that run. The only way to win with the roulette, is to not play it often. When you play it only a few times in your life, the final result will not get the chance to average out (and hopefully to your advantage).
(tg is usually abbreviated tan) i mean, they are all related to the x and y coordinates of points at a specific angle on a circle (sin and cos) and on a tangent line that intersecs the x-axis(tan and cotan)
coolguy 284 If you are talking about the modern definition, sure, but the historical origin is far more complicated than this. In reality, what happens is that you draw a circle and then a triangle using a central angle. There are many limes that have some special relationship to the circle, e.g a tangent line or secant line. The ratios are then defined in terms of how the special line is parametrized by the angle and the radius of the circle. Only a few of these ratios are taught today, though, which are the sine, cosine, tangent, cotangent, secant, and cosecant.
I have a question though. 0/2=0 & 0/3=0. So then, 2=3? I am saying this because that is how, division by zero aint possible and not equal to infinity was explained. Although keen at maths too, i have always considered zero as even but after watching this video, i am actually having some doubts. lol. Nice vid BTW.
They are both to zero. The contradiction here is when you divide 0 by 0 since it's indeterminate. Anytime when you divide by zero, it is always undefined. Both of these statements when you get into calculus can be used in terms of limits. 0/0 is one of the indeterminate forms where you have to do more work using either algebraic method or l'Hopital's rule. 1/0 may have the limit to no exist or going to positive or negative infinity depending on the function assigned.
Al-Khwarizmi (or Al-Juarismi) was not established in North Africa: he lived and worked in Bagdad in the IX century and is mostly famous for his compilations and contributions to Algebra (he gave its name to this branch of maths) and Arithmetics among others.
If you are not an Indian and not a Hindu, than how can you make such a funny comment :) No one stole anything from India, Muslim scientists were dominant in India as well sir :)
I always thought it was obvious that 0 is even, if you have an even number and subtract/add 2 your new number will also be even, so if we start at 8 which is even, then subtract 2 = 6 (even), subtract 2 = 4 (even), subtract 2 = 2 (even), subtract 2 = 0 (even?)
If we multiply the equation ax^2+bx+c=0 by( -1) then here if we cosider 0 as a negative integer then there is no problem ! And if be consider it to be positive then also no problem so 0 should be both positive and negative hence it is placed batween the number line what do you think numberphole?
Mark Stump I think you mean 0 is congruent to 2 (mod 2), as congruence works like this, if a mod c = b mod c then a is congruent to b (mod c). You are right in saying 0 is congruent to 0 (mod 2) but it is also congruent to 0 (mod 3) or 0 (mod 5) etc. Just wanted to let you know :)
Mark Stump Thank you for clearing up the misconception. I thought you meant if for all natural numbers x, if x is congruent to x (mod 2) than it is even. Now I see you meant if for all natural numbers x is congruent to 0 (mod 2) than it is even, which is correct. Although you could have made your definition even better by just saying if x mod 2 = 0 than x is even, which is the same as both your's and Brady's definiton. :) And I do think 0 is even because it is a multiple of 2. Its kind of interesting to see whether people choose division or multplication to define even/odd numbers.
Jeevan Devaranjan It's the same congruence class and the same set of integers! Still, you had me worried for a few seconds: I'm old and senile, but I know how it works. I'm saying if "a" is congruent to 0 mod 2, it's even. (My proposed definition) If you think this definition fails, show me an "a" that is congruent to 0 mod 2, but isn't even... or show me an even number that is not congruent to 0 mod 2. I said nothing about congruency to 0 mod 3, 4 or 5... if we did have the word "threeven," of course I'd want a similar definition and I'd want to include 0 again...so it'd be even AND threeven. This doesn't bother me; I don't think it should trouble you. Surely you don't think 0 should be considered throdd!?
I love this video. To know the number zero was causing people who abuse power to lose power over and over and the story of zero becomes a great historical philosophy that needs to be told well!
+EGarrett01 Why not? He also said if you add up positive integers you end up with -1/12. Now one more insult from you and I'm going to report you which might lead to termination of your Google account. In other words: shut up!!!
Could the right half of 0 be positive and the left half be negative ? Or top half positive and bottom half negative ? Or..... aditya aggarwal 1 week ago Whenever an even number is subtracted from an even number, the difference is always an even number. Eg. 4-2=2 or 8-2=6 So, by that logic, isn't 2-2=0 also even? BTW, I typed this comment before watching the video. Simple thinking IMO.
"Is Zero Even?" "When counting, is the number next to an odd number?" - if the answer is < yes > , regardless of what number you're talking about, the number is even.
The answer to the question is, 'yes'. Zero is an even number. Otherwise the set of even numbers would not be closed under addition (subtraction). Why he needed nearly seven minutes to explain this is beyond me.
Also, if you have an even number of negative numbers in multiplying/dividing then the answer is positive Example: 4*(-5)=(-20) because there is 1 negative number and 1 is odd (-7)*(-3)=21 because there are 2 negatives etc. 7*3=21 because there is 0 negative numbers and therefore 0 is even
O is only a number in Integers and Reals. Not in Natural, Fractional or Harmonic, which all have 1. Small question for you, as 1 is a number , is -1 a number or a vector? 0=1(-1) Vectors 'balance' around 0 Numbers 'balance' around 1 See Newton Law 1. Sets the origin 2. Sets the magnitudes 3. Sets the vectors See?
What the hell is with this thing about Babylonians and Greeks using a "space" to differentiate between the numbers 26 and 206? The Greeks used a alphabet-based numeric system, much like Roman numerals, but with the Greek's ancient alphabet instead. They often times used obsolete letters or isolated symbols instead. They did not write it like the numerals we used. With that, I can hardly believe anything else in this video, as a lot of it is based upon the whole "space between numbers" shite.
@lygophile That's correct, but what does it change? The number being even is not about ending up with 2. By definition, it's about being integrally divisible by 2. And 0 is.
@lygophile "isn't that an equally valid definition of 2, that it has a prime factor 2?" No. It's no equally valid definition because zero wouldn't be even then. ;-) "no even number starts with the letter "z" ... zero does!" - just joking :-) What is the correct definition for an even number? - It is divisible by 2. 0? Yes. This is the definition that can be found on Wikipedia. - It leaves no rest when divided by 2. 0? Yes. - It is a multiple of 2 and another integer. 0? Yes. (no prime factorization here....) What is the alternative? odd = not even (this is the literal definition) As all integers are either even or odd, then zero would have to be odd. even * odd = even .....will not work then. ;-) bad things will happen. fun fact... If there was a word for a number being divisible by 3 - let's say "threven" - zero would be threven, too. (Sorry for bad English, I don't think that automatic translations can handle mathematical subtleties.)
@lygophile whether zero is even or odd??haha There is no point of arguing about it because zero is even by definition and not by any logic. For example, composite numbers are composite numbers by definition if the definition was like "a composite number has at least 1 factor(say)" then we would say that 0,1,2,..are composite. These rules and definitions are made by humans and not by nature 😂. @Lars Maurer has stated the definition of even numbers above. Read it. If the definition have any such point which you have said (can't divide it by any no. to get 2) then it will definitely be excluded from the list of even no.s
1: it is an absence of number 2: 0+x is the presence of number 3: 0-x is a deficit of number 4: zero is the border between deficit and presence. For example, 10 is an absence of units; 101 is the absence of tens; 5: x/0 some part of nought. 0/x no part of something 0/0 no part of nought. 6: if the logic alludes you, try adjusting your theoretic. 🧙♂️🛂🎭🛂
If two even numbers were added, the answer should be an even number i.e, 2+0=2. this is true. If an even number was added with an odd number, the answer should be an odd number. i.e, 3+0=3. this is also true. If an even number is multiplied by an even number, the answer is an even number. i.e, 2x0=0. this shows that the number zero is even. If an odd number is multiplied by an even number, the answer is an even number. i.e, 3x0=0. this also shows that the number zero is even. Even numbers and odd numbers are only called after integers (numbers with no decimal point)
That bald guy knows little about the history of math: he says that zero was banned by the catholic church because it was introduced by the time of the crusades, ignoring the well known fact that Pope Sylvester II (also known as Gerbert of Aurillac) himself introduced the arabic numerals in Europe (forcing the clergy to use them) more than 160 years before Leonardo de Pisa was even born. Also, Gerard of Cremona and Robert of Chester translated al-Khwarizmi's works several decades before the birth of Fibonacci. The first crusade started in 1096, when the decimal system had been already in use (not by everybody of course) for amost a century. Fibonacci was important in popularising this decimal system but was not the first and not the only (apparently merchants who dealt with the arabs were at least as important as intellectuals in getting used to the new system and importing it into Europe). I don't know what happened later but those stories about zero being banned in Florence seem to be related to local government and not the higher authorities of the Church (in which case it would have been banned in Rome or Avignon instead), i've also read that it was banned because of the novelty of the system which lead to suspicions of fraud and speculation. I don't know about that but all i can say is that Fibonacci is important enough to need any help from people adding legendary merits to his legacy. Fibonacci's Liber Abaci by the way does mention zero which he calls zephir (probably contributing to giving it its modern name) but wasn't a translation of somebody else's work though he acknowledged the contribution of arab and persian mathematicians to his own learning. I want to point out also that Fibonacci called the arab numerals "indorum" in that book, this means indian numbers not arabs, and we can find them called indian in many other old books and manuscripts, so it wasn't like everybody simply ignored that they came from India rather than from northern Africa. Also Al-Khwarizmi was persian, not from North Africa (though he was famous all across the muslim world so it was easy to learn about him while being in Egypt or Morocco).
+Masturboy84 You should look up independent accounts before jumping to the defense of the Catholic Church. Copernicus, Galileo, and hundreds of thousands of "witches" later, and you still can't accept it has never been a front-runner on anything useful in society. I hate to say Wikipedia, but you should look it up before saying religious folks didn't try to ban 0.
All i am defending is an informed exposition of historical data which is something this video lacks. I know very well Galileo's life and also Copernicus' but i don't understand why you mention the latter since he was never prosecuted by the Church (the same institution that he belonged to). And even if he was that doesn't change any of what i've said about the history of the decimal system, which is what this discussion is about (we're not talking about astronomy). If you want to discuss my statements about the story of the use of the arab numerals please provide reliable sources that show me i'm wrong to say Fibonacci wasn't the first to introduce them into Europe or any of the other points i'm trying to make.
Right: the history of Arabic numerals and the Church that Roger Bowley offers is complete BS: the Church never called them evil and they were introduced in Europe a couple of hundred years before Fibonacci. Wikipedia mentions nothing like what 'smurfyday' implies, and I asked a professional historian of mathematics about it and he said, "Yes, complete BS."
Also, (I think it is Roger Bowley... not sure where I got his name, though) can't even be bothered to get auxilliary details right: the book he mentions was by al-Khwarizmi, not al-Khwazimi, and he was Persian, which is fairly far from "North Africa."
Yes! Zero is even. *PROOFS:* ·> It results in an integer when divided by 2. ·> Even exponents always result in positive numbers or zero, a zero exponent results in +1, a positive number. ·> Point-symmetrical shapes have an even number of lines of symmetry, think about the letter Z. ·> Even numbers do not change the parity(-Even/odd) when added. Adding zero does not change the number at all. ·> A product with an even number of negative signs will result in a positive product, while an odd number of negative signs will result in a negative product. Zero negative signs will result in a positive product. ·> Every even number is in between two odd numbers (-And vice-versa). Zero is in between two odd numbers.
It would be interesting if you discussed how the Romans viewed zero and how they did calculations. I know they used the abacus, but what about paper calculations?
You cannot say that anything divided by 0 is infinity because infinity is not a number. It should say that any number divided by 0 is undefined. Infinity is just a symbol to tell you that the limit is approaching something larger/smaller on that value. You will see that in calculus something called limit of a function. What is happening at x that goes to 0 from either side? Say like x=0.1,0.01,0.001,... and -0.1,-0.01,-0.001,...Do you see why it has different answers? That's why the limit has different answers, so it doesn't exist.
Physicist do interpret a division by 0 as infinity. Mathematicians like to say as the number gets divided by an ever smaller number (lim->0) the result approaches infinity.
The addition of odd and even numbers is quite interesting as well. When adding any even number to an odd number, the answer is always odd. But adding any odd number to an odd one gets an even.
Whenever an even number is subtracted from an even number, the difference is always an even number. Eg. 4-2=2 or 8-2=6 So, by that logic, isn't 2-2=0 also even? BTW, I typed this comment before watching the video.
To the point of not doing business with 0: years ago, I kept getting a bill from Sears for $0.00. The problem was solved when I sent them a check for $0.00.
My bank account is even. It sounds better than saying you're broke.
Hahah
Its better then being in dept though.....
-100.000 is even, or not?
Even and negative.
but its not negative, its zero. Negative is less than nothing.
"I want to buy no sheep, I'll give you no pounds"
That's the old school version. The 2000s version is "I want to buy no sheep, I'll give you no pounds plus a 10 pound processing fee".
What
Monthly
and another 10 pounds for wasting my time
If you don't understand "zero" I am not going to let you drive my car because you won't put gas in the tank.
I'm pretty sure that farmers that over-wintered animals understood "nothing" as well. The stockpile of food for the animals and the other stockpile of food for the humans could get empty before spring. That would be a horrible disaster for the people depending on it. They either understood "running out" or they died. I don't believe this "didn't have the idea of zero" stuff. And empty plate, and empty cupboard, an empty barn, all of these were just other names for nothing.
@@puppetsock they obviously knew about nothing, but not in the mathematically useful sense, that's all.
that makes zero sense
+Walwalkn Wewnrkl Lol, I can't even...
+Proximity94 so zeros the odd one out kek
You mean that makes even sense
That's a very odd pun, even for me...
It is very odd, that nothing is even, whereas something might be odd, or it might be even. 0/2=0/3, IF not please demonstrate.
The lack of ink in the marker deeply disturbs me
I'm ok with it because it's evenly out of ink in proportion with the level of ink it has.
*deeply*
"I find your lack of ink disturbing."
@@ratoim Why repeat?
That's how it should be with this topic: near-zero.
So zero is even. If you think zero is not even, then I cannot even, because that is too odd to believe.
bruh
Pass the blunt
Hmm
odd + odd = even (3+5 = 8, 7+11 = 18), 0 + 7 = 7 (odd!)
@@user-bb5bf2tp4w I think it only works for natural numbers
I once bought 0 sheep for 0 pounds. It made no sense, but it worked!
I do it all the time actually
It didn't make any cents, either.
I see this comment posted 2 years ago, the first reply 2 weeks and the second reply 2 days
Therefore 2+2+2=6
My comment will be posted 1 second ago, the time it takes to refresh the page and find this comment again would be 5 seconds
6-(5+1)=0
0 is even
You bought it from 0 farmers
that's pretty odd
You don't have to use a telescope to film your videos
100 likes and not 1 comment. nuff said
128 likes and not 2 comments. nuff said
137 likes and not one person with a sense of humour. Nuff said
144 likes and no cats :( nuff said
196 likes and no jokes. Nuff said.
I remember as I child someone in school told me that there are numbers less than zero, and I almost didn't believe them. They said "yeah, they're called 'negative numbers'" and I was in shock
Makes sense since negativity is basically just an abstraction. There’s no such thing as a negative number in our natural world.
@@nickwilson3499 I cant have negative 6 sheep, or negative 10 apples. the closest thing would be debt
@@mcvibing2785 exactly what I was saying. Debt is just saying “when you have more sheep, give some to me.” It’s just in your head, it doesn’t actually exist.
@@nickwilson3499 yeah
F=-kx is Hooke's Law. What do you say?
Oops, it's just a model.
I found it odd to call 0 even
lol
I found it *odd* that you would _even_ bring that up.
Even so, you have to do so
Que laugh track
Ben Waffle queue*
This is the first time I've heard a bunch of Brits use the word "zero" so often. Usually, I hear "nought"
You mean zero is naught so common?
24kGoldenRocket stfu
@@24kGoldenRocket zed refers is an alternative pronunciation of the letter z instead of saying "zee"
IronCoreGroup “zee” is the alternative pronunciation, not “zed”. The entire English speaking world says “zed”.... only the Americans say “zee”
@@TC_83 Which pronunciation is alternate is relative. That's not special though, just about everything is relative.
I honestly always thought zero was even because of when I was like six and we would line up in pairs at school, I concluded that zero was even because odd numbers always have someone left out with pairs, but even numbers don't, and since 0 doesn't have anyone left out it must be an even number.
Now that can just be said as "divisible by two"... I love the way my brain worked
Brilliant!
...all i got from pairing up was traumatized🤷😆
@Brianna Love Well, in Finnish, the word for ”odd number” is: _”Pariton Luku”_ (lit. ”Pairless Number”), and for ”even number”, it’s: _”Parillinen Luku”_ (lit. ”Paired Number”). 😅🇫🇮
@@michaelhanford8139 Like getting picked last to the team, in PE.
@@PC_Simo you can be pair with ...the teacher! ...:( thats me at school
@@pepe6666 It could have been me, just as well; and probably would have been, if being pair with the teacher had been a thing, for us. My sympathies. :(
0:01 me on my maths results day
Looooool😂😂
underrated comment !
1 2 4 8 7 5 what do these have in common? what does 3 and 6 have in common? and why is 9 the only number that always reduces back to 9 from multiples of it self? ie 9x4 = 36 3+6=9 or 9x52743=474687 4+7+4+6+8+7=36 3+6=9.
"0. That's our friend."
Same
[Insert sad violin music]
Hello Zero, my old friend.
One, is the loneliest number
0. Thats our friends
0 thats our friends
Points give you friends
Question: Is zero even?
Answer: No, it’s naught.
*nought
shut up, dad
i'm gonna give u pun-ishment
Makarputo
One of the best jokes i've read👍
Magic the Gathering players: I've been training my whole life for this moment.
I was about to make a similar comment...
*void winnower has entered the chat*
I don’t play but I’m curious what you mean with your comment. Lol. Care to explain?
Dominik Brame some magic the gathering cards reference odds and evens and on every card that mentions them they say that zero is even. It’s kinda become a joke I’m the community
(Zero is an even number)
I find it odd that we are even talking about this.
+Dylan N Ha ha ha, I even find it odd too.
Even I find it odd!
Hahahahahahah
Even though it makes zero sense?
@@TheGoatDyl even too
When he mentioned Divide by 0, I immediately imagined a spread sheet covered in #DIV/0!
you poore soul
I imagined a y=1/x function and how there is an asymptote at x=0
That's 0!, so that will work cause it's 1
0 is one less than a non-even number. Ergo it has to be even. Wheres my nobel prise.
7 is less than an infinite number of non-even numbers. Ergo it has to be even. Where's my prize?
***** exactly, thank you for noticing
2 / 2 = 1, so 2 is even
10 / 2 = 5, so 10 is even
0 / 2 = 0, so 0 is even
The pattern is that they all become whole numbers when divided by two. Nobel Prize now.
Doktor Karlos Mathematicians do not get a Nobel Prize, you know...
Elliot Gale He said ONE less.
"Is zero even … a number?"
Nope.. it's sort of not a number... -1, -2, -3 are counting backwards, +1, +2, +3 Is counting forward.... 0 has neither a + or -. Zero belongs at the start of an equation like a capital letter ie
0+6/+2+(0+1+2)=
0+1. I'd say people have lost their mind with maths, but maybe they never had it.
Yes, according to my programming language.
@@cgiunta6542 yea, der, I know. Binary code is different to maths. I stick to maths tho.
@@neverrip6809 zero is a number.
Alex Prangnell / Binary is a base 2 counting system. It is still very much maths haha
Is zero even what??????????
It's 3 am and I haven't slept in a day
tephine 726 ???? Wat ????
Zero can.
This comment is odd.
MrBlueSky Is zero even a number divisible by two and can be added by two numbers and can be added with another number that is not divisible by two and become a number that is not divisble by two?
Invalide_Account meth... helluva drug
If you have nothing, nothing it is, but something put in front of nothing makes something that has nothing behind it.
I thought 0 being even was common knowledge? And I'm awful at maths.
Farmeryeti I think that most people intuitively thinks of 0 as even, but after learning more about 0 and how it acts in a weird way in many cases, like how 0 is neither positive nor negative, and how you can't divide by 0, some people might start to question whether 0 is actually even or if it's neither even nor odd. Apparently it does fit in well with the even numbers though.
MasterOfTheChainsaw It's because even numbers are defined as anything that is equivalent to 0 mod 2. Nothing really deeper than that.
Jonathan Park Somewhere in the galaxy, we have the same name!
Jonathan Peck !!! Hahhaa
Farmeryeti My sixth grade math teacher didn't know this. I was very surprised.
I wouldn't have a delayed reaction if someone asked me if zero was even, and this video helps me be even more sure about my answer. - But I might be the odd one out.
I think I would have. Zero is a weird number that kinda follows it's own rules (you can't divide by it, anything multiplied by it is zero, stuff like that) and if you're asking me that I will assume you're tricking me (like asking "is a banana a berry")
Ps: swede?
I have $0. Must be the devil's work.
this must be the work of an enemy stand
Lol
Not even odd at all.
Brady's logic to even numbers, if they're round. So let's list them:
Even numbers; 0, 3, 6, 8, 9
Odd numbers; 1, 4, 7
2 and 5 are both odd and even; Odven? Evedd?
8 is even EVEN..
@@akberjag even Steven
"I feel like the answer is no but it feels like it is because it's round"
Secretly, we all feel the same way
Also, algebraically, an odd number is a number that gives a whole number when doubled and minus or add 1:
2n-1 is odd, and so is 2n+1
Let's say, for 0 to be odd
2n - 1 = 0
2n = 1
n = 1/2,
but because n in this case isn't a whole number, in fact halfway between, 0 can't be odd, so is even.
Moreover, using the same calculation, an even number will always be something and a half, for example
2n - 1 = 2
2n = 3
n = 1 and 1/2
2n + 1 = 10
2n = 9
n = 4 and 1/2
Slightly at a tangent, grammatically-speaking zero is plural. Consider -
"There are two cups on the table" - Plural
"There is one cup on the table" - Singular
"There are no cups on the table" - Back to plural
This is relevant how? That is a grammatical caveat and nothing really to do with maths.
I did say I was going off at a tangent...
+lomax343 Grammatically speaking, so are decimals. on average, households in the US have 1.7 toasters.
There is no cup on the table.
That implies there was supposed to be one.
Does zero even even?
CowLunch No!
CowLunch Eventually maybe
+CowLunch do you even even bro
+CowLunch That's Odd
Well, I've never read it.
Zero literally can't even
I just came here to make that joke, but you already did. Thanks
SentsuizanXS Actually it literally can't odd.
It makes me feel odd
Does your native language have "odd, even, zero...."? I think you are buggering English. Try rewriting your comment so it makes sense?
I am the 666th like
For base 10: Every number with an even digit in the ones place is even. Every number with an odd digit in the ones place is odd. Every number with a zero in the ones place is even. QED zero is even.
My favorite number is 8 because it can be divided physically and mathematically, and can be cubed
PiZzA ZiZa wait what is 7 a common favorite number?
*****
8 just has that special feel to it, and it is a common number in computing
My new fav number is -1 because
e^iπ=-1
My issue with negative one is its root is imaginary.
And something tangible coming from something imaginary :p causes a lot of headaches in a philosophical sense.
My favourite number is 256, because it is 2^8, or the amount of numbers you could have in 8-bit binary.
Another thing you could say is that two odd numbers added together will make an even number, but when adding zero to an odd number it remains an odd number
CORRECTION:
al-khwarizmi was from modern day uzbekistan (then part of persia), and he did his studies in baghdad
***** He even said "Al-Khwazimi." Which sounds... weird.
namn Just to add that we have "Algebra" thanks to his works in this field and unknowns (he'd call them Filān_x_ and Bahmān _y_) in his book Ilm al-jabr wa'l-muḳābala.
The persians found out a lot of things of todays science
Shashank Jaiswal well, khwarizmi didn't claim to invent anything. but instead his book was an in depth study that used greek, indian, and babylonian mathematics and *built on it with his own techniques.* also, while only certain rules of quadratic equations were defined in india and greece, it was his book that clearly brought together the knowledge and set the foundation for what we have today.
Shashank Jaiswal the real hero is omar khayyam
Yes, it's the ultimate even number. Zero is the most important number in mathematics. It's the origin of the Universe. The here and now. The center of future and past. The only spot in the universe we can be absolutely sure about and we're always right in the middle regardless of where we think we are.
1 is odd, 1 + *2* = 3
3 is odd,
and...
2 is even, 2 + *2* = 4
4 is even,
so....
2 - *2* = 0
simple theory :)
Just so y'all know, the word for "Fiveness" is quincunx.
WTBGold
Kwingcungs
No, it's an abstract idea
Quincunx means 5/12 of an inch (uncia) or the pattern of 5 dots e.g. on dice. I think a Latinate word for 'fiveness' could be 'quinquity'.
No
No it's not. It's _fiveness_
i dont understand much about math, but i think looking at the numbers that even number is a number between two odd numbers.. so 1 and -1 are odd.. 0 must be even :)
Thank you I was gonna say that
This was my thought as well.
three people that didn't bother to watch the entire video?
*draws a wide circle*
"Zero!"
...
You what?
It's a 0 on its side.
Zero is a representation of nothing. But nothing can be something with something in front of it.
6:12 This is interesting. As a software engineer who uses Oracle databases you actually have a value called NULL which means "nothing". If a value is NULL it acts completely different when used in operations than a value 0, which is numeric. A string of text for instance that is not saved can be NULL, but it cannot be 0. Multiplying by NULL also returns NULL , like zero, but If you add a value to NULL you will also still have NULL. If you divide by NULL you will have NULL as well. in logical operators such as "equals to" it gets even weirder. if you have a branch in a function for instance "if variable = NULL" the expression will alwayus be false, even if the variable contains value NULL. if you have 2 variables, and both are NULL and you ask "if var1 != var2" (!= means "not equal to") it is also FALSE. an operation with NULL does not only always return NULL, it is not even equal to... itself.
Null as implemented in many programming languages doesn't mean nothing. It means (essentially) "I don't know". That's why nulls propagate. A simple example: If I say "1 plus something equals what?" You'd probably ask "What is something?". I'd shrug my shoulders and you'd then say. "I don't know." 1 + NULL = NULL. Multiplying or dividing by 0 is a bit trickier though so the explanation isn't as clean as this.
Not positive nor negative. Neutral?
Yup.....
Yes!
Technically called unsigned.
or has both signs
Cody Griffin it is most certainly not called unsigned
1:50 a little correction, Al Khorezmi was the founder of modern Algebra and algorithms. The word Algebra is taken from this scholar, and he was not from North Africa, he was from Central Asia. Khorezm, which is currently in the territory of Uzbekistan.
Came here the guy who believes books came from SKIES
My friend asked me one time "What is one of the greatest discoveries?"...of course..I said electricity(which is an obvious one)...he then tripped me out with the discovery of zero...what is great irony w/ zero is even though by itself zero = nothing...put it next to a 1 - 9 #...and it makes its sum larger...that is the best case of irony I can think of...
Answer at 1:25
In casinos, 0 is neither odd nor even.
+Arc Kocsog Casinos also use "00" too!
+Arc Kocsog lol
+Warrior Son wtf
+Arc Kocsog this is correct
+Arc Kocsog The only reason for that is to make profit for the casino. When you bet on even, and it's correct, you get to double your money. But there are 18 even, 18 odd and one zero on the board IIRC (37 possible outcomes in total).
So if you put M euros on it, the average amount you get back is: (18/37) * 2M + (19/37) * 0 = 36M/37. So on average, you always get less back than you put into it, and the 1/37 left over is the profit for the casino.
Another way to visualise it: say there are two persons gambling, one always puts €10 on even, the other puts €10 on odd. For most runs, the result would be even or odd, and the casino wouldn't gain or lose anything. But for on average 1 in 37 runs, the outcome will be a zero, and the casino will get the complete pot of that run.
The only way to win with the roulette, is to not play it often. When you play it only a few times in your life, the final result will not get the chance to average out (and hopefully to your advantage).
can you guys explain the fundamental maths on sin, tg, cos and ctg?
they are just ratios...and I guess it would be a boring video
Wiki can reveal this mystery for you.
Thinking again, that would be a nice history video if they show how they were developed.
(tg is usually abbreviated tan)
i mean, they are all related to the x and y coordinates of points at a specific angle on a circle (sin and cos) and on a tangent line that intersecs the x-axis(tan and cotan)
coolguy 284 If you are talking about the modern definition, sure, but the historical origin is far more complicated than this. In reality, what happens is that you draw a circle and then a triangle using a central angle. There are many limes that have some special relationship to the circle, e.g a tangent line or secant line. The ratios are then defined in terms of how the special line is parametrized by the angle and the radius of the circle. Only a few of these ratios are taught today, though, which are the sine, cosine, tangent, cotangent, secant, and cosecant.
I have a question though. 0/2=0 & 0/3=0. So then, 2=3? I am saying this because that is how, division by zero aint possible and not equal to infinity was explained. Although keen at maths too, i have always considered zero as even but after watching this video, i am actually having some doubts. lol. Nice vid BTW.
They are both to zero. The contradiction here is when you divide 0 by 0 since it's indeterminate. Anytime when you divide by zero, it is always undefined. Both of these statements when you get into calculus can be used in terms of limits. 0/0 is one of the indeterminate forms where you have to do more work using either algebraic method or l'Hopital's rule. 1/0 may have the limit to no exist or going to positive or negative infinity depending on the function assigned.
I like the format of this and the root 2 video. Two different presenters giving different talks about the same topic, interwoven.
Bubbleonians.
There are many reasons to love Numberphile, the accent is one of them. Thanks for explaining
This is such a great video, I can't even!!!
Al-Khwarizmi (or Al-Juarismi) was not established in North Africa: he lived and worked in Bagdad in the IX century and is mostly famous for his compilations and contributions to Algebra (he gave its name to this branch of maths) and Arithmetics among others.
If you are not an Indian and not a Hindu, than how can you make such a funny comment :) No one stole anything from India, Muslim scientists were dominant in India as well sir :)
Lol, wasn't a joke, it was the truth, you can research the timeline quite easily
__I__ haha
+Shaamyl Anwar Islam came to India at around 700 AD. Aryabhatta used 0 as number at around 500 AD.
Yes Mridul, I never talked about the use of 0 only, just Al-Khwarizmi's contributions to Maths generally
I love these videos. They make my brain hurt, yet I somehow understand them...
I've always seen zero as "genderless," unless a larger number ends in zero. Then the zero makes that number even.
I always thought it was obvious that 0 is even, if you have an even number and subtract/add 2 your new number will also be even, so if we start at 8 which is even, then subtract 2 = 6 (even), subtract 2 = 4 (even), subtract 2 = 2 (even), subtract 2 = 0 (even?)
6:13 it would make more sense to me if he finished by saying "nothing is when there's nothing to count - zero is the absence of something"
nice one, clever
If we multiply the equation ax^2+bx+c=0 by( -1) then here if we cosider 0 as a negative integer then there is no problem ! And if be consider it to be positive then also no problem so 0 should be both positive and negative hence it is placed batween the number line what do you think numberphole?
Well, zero IS congruent to 0 Mod 2, which would be my definition of "even." :)
Mark Stump I think you mean 0 is congruent to 2 (mod 2), as congruence works like this, if a mod c = b mod c then a is congruent to b (mod c). You are right in saying 0 is congruent to 0 (mod 2) but it is also congruent to 0 (mod 3) or 0 (mod 5) etc. Just wanted to let you know :)
Mark Stump Thank you for clearing up the misconception. I thought you meant if for all natural numbers x, if x is congruent to x (mod 2) than it is even. Now I see you meant if for all natural numbers x is congruent to 0 (mod 2) than it is even, which is correct. Although you could have made your definition even better by just saying if x mod 2 = 0 than x is even, which is the same as both your's and
Brady's definiton. :) And I do think 0 is even because it is a multiple of 2. Its kind of interesting to see whether people choose division or multplication to define even/odd numbers.
Jeevan Devaranjan
It's the same congruence class and the same set of integers!
Still, you had me worried for a few seconds: I'm old and senile, but I know how it works.
I'm saying if "a" is congruent to 0 mod 2, it's even. (My proposed definition)
If you think this definition fails, show me an "a" that is congruent to 0 mod 2, but isn't even...
or show me an even number that is not congruent to 0 mod 2.
I said nothing about congruency to 0 mod 3, 4 or 5...
if we did have the word "threeven," of course I'd want a similar definition and I'd want to include 0 again...so it'd be even AND threeven. This doesn't bother me; I don't think it should trouble you. Surely you don't think 0 should be considered throdd!?
I can't even
clickhead please dont
Ecto Don't even what?
CLICKHEAD PLEASE DONT
***** But why can't I even? D:
that's very odd
I enjoy your videos. If zero is neither positive or negative, can it also be said that it is equally positive and equally negative?
I love this video. To know the number zero was causing people who abuse power to lose power over and over and the story of zero becomes a great historical philosophy that needs to be told well!
I fail to see the problem. I didn't need a split second: yes, zero is even.
All you've done is advertise that you're an idiot who clicks on videos that address things you already know.
+EGarrett01 No, I click on Numberphile videos because they're interesting. You just called yourself an idiot by not understanding that obvious fact.
+EGarrett01 Why not? He also said if you add up positive integers you end up with -1/12. Now one more insult from you and I'm going to report you which might lead to termination of your Google account. In other words: shut up!!!
Now that I've pissed in your cheerios, buh-bye.
+EGarrett01 Well that was a pleasant conversation.
When i saw the title, just thought "is zero even, WHAT ArE YoU HiGh?" lol!
All numbers are odd. Even numbers are just a conspiracy.
Could the right half of 0 be positive and the left half be negative ? Or top half positive and bottom half negative ? Or.....
aditya aggarwal
1 week ago
Whenever an even number is subtracted from an even number, the difference is always an even number.
Eg. 4-2=2 or 8-2=6
So, by that logic, isn't 2-2=0 also even?
BTW, I typed this comment before watching the video.
Simple thinking IMO.
"Is Zero Even?"
"When counting, is the number next to an odd number?" - if the answer is < yes > , regardless of what number you're talking about, the number is even.
Zero is infinitely zero.
The 1 Realm of Retro! hi
??
The 1 Realm of Retro! Hey How is it going?
The answer to the question is, 'yes'. Zero is an even number. Otherwise the set of even numbers would not be closed under addition (subtraction). Why he needed nearly seven minutes to explain this is beyond me.
Because the explanation is what people are interested in.
Also, if you have an even number of negative numbers in multiplying/dividing then the answer is positive
Example: 4*(-5)=(-20) because there is 1 negative number and 1 is odd
(-7)*(-3)=21 because there are 2 negatives etc.
7*3=21 because there is 0 negative numbers and therefore 0 is even
Can you translate this in a third grade fashion ?
0 is between 1 and -1 , which are odd, so 0 is even.
Also, 0/2 has no remainder. Odd numbers divided by 2 have a remainder. 0 has to be even then.
...but CAN zero even?
Yes, he is referring to an even number.
Is zero even what?
+Bloodbath and Beyond What is this? I don't even.
Of course
+Strzelba Stian I can't even
Don't be a zero, get even!
He is referring to an even "number". 0 is an even number. 0 is also considered to be both "even and odd function".
O is only a number in Integers and Reals. Not in Natural, Fractional or Harmonic, which all have 1.
Small question for you, as 1 is a number , is -1 a number or a vector?
0=1(-1)
Vectors 'balance' around 0
Numbers 'balance' around 1
See Newton
Law
1. Sets the origin
2. Sets the magnitudes
3. Sets the vectors
See?
As the great Randy Savage once said, "Nothing is nothing". He was the cream of the crop.
I'm with you on that. It's hard to pin qualities on nothing.
What the hell is with this thing about Babylonians and Greeks using a "space" to differentiate between the numbers 26 and 206? The Greeks used a alphabet-based numeric system, much like Roman numerals, but with the Greek's ancient alphabet instead. They often times used obsolete letters or isolated symbols instead. They did not write it like the numerals we used. With that, I can hardly believe anything else in this video, as a lot of it is based upon the whole "space between numbers" shite.
it always seemed intuitive to me that zero is even, because 0 % 2 = 0, after dividing it with 2 there is no remainder.
Loved how to topic progressed from
Is 0 even a number?
to
Is 0 an even number?
I never get to finish my math homework and I literally have never gotten higher than a C for math. Yet I do like to watch these videos
Zero is even! Just look at the reminder text of Void Winnower! (MTG Joke)
wow
Please don't explain the reference when making geeky jokes. The whole point of it is to make it funny only for those that are worthy.
zero is dividable by two, so it's even. where's the problem?
Roulette
Aravind Suresh what that has to do with the topic?
@lygophile That's correct, but what does it change? The number being even is not about ending up with 2. By definition, it's about being integrally divisible by 2. And 0 is.
@lygophile "isn't that an equally valid definition of 2, that it has a prime factor 2?"
No. It's no equally valid definition because zero wouldn't be even then. ;-)
"no even number starts with the letter "z" ... zero does!" - just joking :-)
What is the correct definition for an even number?
- It is divisible by 2. 0? Yes. This is the definition that can be found on Wikipedia.
- It leaves no rest when divided by 2. 0? Yes.
- It is a multiple of 2 and another integer. 0? Yes. (no prime factorization here....)
What is the alternative?
odd = not even (this is the literal definition)
As all integers are either even or odd, then zero would have to be odd.
even * odd = even .....will not work then. ;-) bad things will happen.
fun fact...
If there was a word for a number being divisible by 3 - let's say "threven" - zero would be threven, too.
(Sorry for bad English, I don't think that automatic translations can handle mathematical subtleties.)
@lygophile whether zero is even or odd??haha There is no point of arguing about it because zero is even by definition and not by any logic. For example, composite numbers are composite numbers by definition if the definition was like "a composite number has at least 1 factor(say)" then we would say that 0,1,2,..are composite. These rules and definitions are made by humans and not by nature 😂.
@Lars Maurer has stated the definition of even numbers above. Read it. If the definition have any such point which you have said (can't divide it by any no. to get 2) then it will definitely be excluded from the list of even no.s
1: it is an absence of number
2: 0+x is the presence of number
3: 0-x is a deficit of number
4: zero is the border between deficit and presence.
For example, 10 is an absence of units; 101 is the absence of tens;
5: x/0 some part of nought.
0/x no part of something
0/0 no part of nought.
6: if the logic alludes you, try adjusting your theoretic. 🧙♂️🛂🎭🛂
If two even numbers were added, the answer should be an even number i.e, 2+0=2. this is true.
If an even number was added with an odd number, the answer should be an odd number. i.e, 3+0=3. this is also true.
If an even number is multiplied by an even number, the answer is an even number. i.e, 2x0=0. this shows that the number zero is even.
If an odd number is multiplied by an even number, the answer is an even number. i.e, 3x0=0. this also shows that the number zero is even.
Even numbers and odd numbers are only called after integers (numbers with no decimal point)
That bald guy knows little about the history of math: he says that zero was banned by the catholic church because it was introduced by the time of the crusades, ignoring the well known fact that Pope Sylvester II (also known as Gerbert of Aurillac) himself introduced the arabic numerals in Europe (forcing the clergy to use them) more than 160 years before Leonardo de Pisa was even born. Also, Gerard of Cremona and Robert of Chester translated al-Khwarizmi's works several decades before the birth of Fibonacci. The first crusade started in 1096, when the decimal system had been already in use (not by everybody of course) for amost a century. Fibonacci was important in popularising this decimal system but was not the first and not the only (apparently merchants who dealt with the arabs were at least as important as intellectuals in getting used to the new system and importing it into Europe). I don't know what happened later but those stories about zero being banned in Florence seem to be related to local government and not the higher authorities of the Church (in which case it would have been banned in Rome or Avignon instead), i've also read that it was banned because of the novelty of the system which lead to suspicions of fraud and speculation. I don't know about that but all i can say is that Fibonacci is important enough to need any help from people adding legendary merits to his legacy. Fibonacci's Liber Abaci by the way does mention zero which he calls zephir (probably contributing to giving it its modern name) but wasn't a translation of somebody else's work though he acknowledged the contribution of arab and persian mathematicians to his own learning. I want to point out also that Fibonacci called the arab numerals "indorum" in that book, this means indian numbers not arabs, and we can find them called indian in many other old books and manuscripts, so it wasn't like everybody simply ignored that they came from India rather than from northern Africa. Also Al-Khwarizmi was persian, not from North Africa (though he was famous all across the muslim world so it was easy to learn about him while being in Egypt or Morocco).
+Masturboy84 You should look up independent accounts before jumping to the defense of the Catholic Church. Copernicus, Galileo, and hundreds of thousands of "witches" later, and you still can't accept it has never been a front-runner on anything useful in society. I hate to say Wikipedia, but you should look it up before saying religious folks didn't try to ban 0.
All i am defending is an informed exposition of historical data which is something this video lacks. I know very well Galileo's life and also Copernicus' but i don't understand why you mention the latter since he was never prosecuted by the Church (the same institution that he belonged to). And even if he was that doesn't change any of what i've said about the history of the decimal system, which is what this discussion is about (we're not talking about astronomy). If you want to discuss my statements about the story of the use of the arab numerals please provide reliable sources that show me i'm wrong to say Fibonacci wasn't the first to introduce them into Europe or any of the other points i'm trying to make.
Right: the history of Arabic numerals and the Church that Roger Bowley offers is complete BS: the Church never called them evil and they were introduced in Europe a couple of hundred years before Fibonacci. Wikipedia mentions nothing like what 'smurfyday' implies, and I asked a professional historian of mathematics about it and he said, "Yes, complete BS."
Also, (I think it is Roger Bowley... not sure where I got his name, though) can't even be bothered to get auxilliary details right: the book he mentions was by al-Khwarizmi, not al-Khwazimi, and he was Persian, which is fairly far from "North Africa."
@@smurfyday "hundreds of thousands of "witches"" It was thousands, and they were almost all burned by Protestants.
Plot twist : they were explaining that "is zero, even a number".
Yes! Zero is even.
*PROOFS:*
·> It results in an integer when divided by 2.
·> Even exponents always result in positive numbers or zero, a zero exponent results in +1, a positive number.
·> Point-symmetrical shapes have an even number of lines of symmetry, think about the letter Z.
·> Even numbers do not change the parity(-Even/odd) when added. Adding zero does not change the number at all.
·> A product with an even number of negative signs will result in a positive product, while an odd number of negative signs will result in a negative product. Zero negative signs will result in a positive product.
·> Every even number is in between two odd numbers (-And vice-versa). Zero is in between two odd numbers.
It would be interesting if you discussed how the Romans viewed zero and how they did calculations. I know they used the abacus, but what about paper calculations?
What is the Roman numeral for zero, BTW?
Wasn’t Alqazeme from the Middle East also I apologise for misspelling his name
Yes, Al-khwarizmi was indeed from the middle east, in the Persian Empire.
His name is also the origin of the word "algorithm"
random person: anything divided by 0 equals infinity
mathmeticians: oooo you're naughty
More like:
Mathematicians: *facepalm
:D
You cannot say that anything divided by 0 is infinity because infinity is not a number. It should say that any number divided by 0 is undefined. Infinity is just a symbol to tell you that the limit is approaching something larger/smaller on that value. You will see that in calculus something called limit of a function. What is happening at x that goes to 0 from either side? Say like x=0.1,0.01,0.001,... and -0.1,-0.01,-0.001,...Do you see why it has different answers? That's why the limit has different answers, so it doesn't exist.
Muhammad Faran Aiki it is a number.
Physicist do interpret a division by 0 as infinity. Mathematicians like to say as the number gets divided by an ever smaller number (lim->0) the result approaches infinity.
I like that they ended the video explaining the difference between 0 and NULL.
The addition of odd and even numbers is quite interesting as well. When adding any even number to an odd number, the answer is always odd. But adding any odd number to an odd one gets an even.
You should make a video about 1 being neither composite nor prime. (Don't know if I said it write)
*right
He made a video explaining how 1 isn't prime
0:18 "£5, 20s"
So £6 then...
Whenever an even number is subtracted from an even number, the difference is always an even number.
Eg. 4-2=2 or 8-2=6
So, by that logic, isn't 2-2=0 also even?
BTW, I typed this comment before watching the video.
Yes, simple. Are you familiar with the Monty Hall Problem ?
Numberphile, what are you doing to my life?
3:55
if you add 2 odd numbers together it's even
3+(-3)=0
@@rohitkunvar8881 wait what
Zero is my hero
To the point of not doing business with 0: years ago, I kept getting a bill from Sears for $0.00. The problem was solved when I sent them a check for $0.00.
I've always considered 0 as even