@@ObjectivityVideos I hope ya'll are archiving some(if not all) of your objectivity videos at the Royal Society. That would just be grand for someone to find in the future.
He was also most likely doing the same thing that child was doing: multiplying from left to right (hence why he started with 7 x 7 = 49 ...), just that he accidently added an extra zero and did 49000 + 141 rather than 4900 + 141
I was just there a few months ago. A guard told me to go downstairs where someone would surely assist me. Only for me to bust into the Monday morning meeting of Keith et al. Woops! :) He was very nice about it though, thanks again!
I wonder why the Irish are so beloved after being so much hated in the 19th century ( for obvious reasons... **looking at you England** )!! I even like them myself but don't know why.
What grant says at 6:14 hits home with me. I never learned short/long division, adding in columns or any of those normal methods of arithmetic. I learned and taught myself a variety of more intuitive methods and flew through high school and University maths. I relented recently while teaching a year 5 class and the numbers were just so that I didn’t have any tricks that would work. I used short division for the first time last Saturday (I picked it up from looking over students shoulders).
this was great, and i love the description of the method used. personally I also go from highest to lowest, reasoning it as (70+1)x(70+1) = 70x70 + 2x70 + 1 for example
This is actually really interesting by showing what was so extraordinary just 300 years ago. 300 years of education has made the extraordinary just slightly impressive
The discussion of what is 'intuitive' in carrying out a demanding multiplication (from 6:10 to 6:45) is very much in keeping with 21st century methods for teaching the topic (known as 'number sense' - check out Marilyn Burns or Jo Boaler) ... BTW, I'm Irish too!
No joke, when he said at the beginning ''gloves of destiny'', it reminded me of the song ''the ultimate showdown'', i got with the nostalgia train. Miss those innocent times of the internet.
My daughter is 7 and a half. She is able to get this right in about the same amount of time. A minute or two using the same method. The method is fantastic and makes people look pretty smart when really it is just basic multiplication and addition. We should definitely teach this to kids. AFTER they have learned the “area” method and fully understood it.
There is a method for mentally performing squares. It is explained by Arthur Benjamin in his books and used in his famous TED talk "Lightning calculation and other mathemagic".
I haven't watched past the provisional card draw yet, but I chucked when it occurred to me if they search and can't find the bust anywhere then the whole situation and the video recording it will have miraculousy provided by _becoming a huge bust_ themselves
holding Newton's PRINCIPIA. MATHEMATICA, manuscript is life best moment itself. Inviting Grant is gem itself. So these archives and letters from all prodigy around the world i guess. So cool.... wondering so many secrets left open to the world yet or probably not but still good place to visit ( but whats the qualification required lol, must be PHd at least). It is treasure box room. :)
for some numbers like 71 ... it is very helpful to know that difference of square of consecutive numbers is just the sum of those numbers. So, 71^2 = 71^2-70^2 + 70^2 = (71+70) + 4900 = 5041.
Interesting facts about Brodie (in no particular order): 1. The first president of the British General Medical Council (the guys that register you as a doctor) - thus the George Washington of the medical profession in Britain. 2. Gray's Anatomy - that esteemed medical tome - was dedicated by its author Henry Gray to Brodie. 3. He was a president of the Royal Society (1858-1861). 4. His eldest son, a Mathematician (!), who discovered graphene oxide, a novel component in development of fibre optics and the future of the internet!
Seeing the card catalog brought back so many memories from my childhood. :-) But I'm surprised they weren't all wearing cotton gloves to handle these very old books!
There's two schools of thought on this apparently. On the one hand the gloves protect the paper from the oils on your skin, on the other hand they reduce sensitivity so you're more likely to cause mechanical damage. It depends on the curator's judgement as to which they think is the bigger risk.
4:22 To anyone who is confused, when asked suddenly, he tried quick multiplication in his head. 71 × 71 [XY x AB] 7 × 7 = 49, 1 × 1 = 1 [X x A] [ Y x B] 49 _ _ _ 1 (7 × 1) + (1×7) [(X x B) + (Y x A)] 14 (put this in the middle of 49 and 1 49 14 1 Add 1 in front of "14" to 49 ie because 1 is carried over to 49 or (49 + 1) You get 5041 I know it's confusing. Just UA-cam some videos peeps. 😊
Grant did the right calculations in his head, though. He should've added the first 1 in 141 into the 49 to get 50, so 5041. He likely did it by 71*71=(70+1)*(70+1)=70^2+2*70+1=4900+140+1. The other method is to use difference of squares 71^2-1^2=(71-1)(71+1)=70*72, so 71^2=1+70*72.
I always use the binomial-theorem when multiplying two-digit numbers in my head; it's easier with squares, but works just as well for two different numbers. You can expand it to three-digits, but it gets hard to keep track of all those digits.
On Maths instruction (at least in the US): we generally teach kids an algorithmic approach, not a mathematical one And then some bright minds come up with an even more abominable approach called Common Core
Bullying an already dead child bc he wasnt fast multiplying and got a multiplication wrong, this is the content i subscribed for
you must be a lot of fun to be around with
@@PavelSTL my comment was 100% unironic, i laughed so hard
Hey now they could’ve died an old man
Ruthless.
@@PavelSTL you are the life of the party if people need to explain their jokes
Grant is far more impressed that he selected an Irishman than anything else.
@SlimThrull Because he is Irish from his mothers side.
"Busted." The dry humour of this man is just the best!
I was hoping Keith would say "the bust was a bust." But his one word answer is so much better.
You might even say it's jest the bust
I'd love to see a day-in-the-life of Keith series. Seems like his job would be really interesting!
PSKM. Pure Special Keith Magic.
This channel is seriously a treasure on UA-cam. Cheers Brady, James, Keith and all.
Thanks for watching!
@@ObjectivityVideos I hope ya'll are archiving some(if not all) of your objectivity videos at the Royal Society. That would just be grand for someone to find in the future.
I will now always refer to Grant "3blue1brown" Sanderson as "The Extraordinary Math Boy."
I would too if only I could remember of this video for more than two days☹️
“oh that’s rubbish then, isn’t it?... You wanted something that could pass the DNA test, I bet” lmaooo Keith is great
the American can't handle the sarcasm 😂
So who exactly is American among them?
Grant says 49141. He was right if he added that "1" in "49". Then it would have been 5041.
He was also most likely doing the same thing that child was doing: multiplying from left to right (hence why he started with 7 x 7 = 49 ...), just that he accidently added an extra zero and did 49000 + 141 rather than 4900 + 141
Yup. I would imagine he did 4900 + 140 + 1, which he turned into 49141 instead of 5041.
He got the two steps right but didnt quite combine Them.
I was just there a few months ago. A guard told me to go downstairs where someone would surely assist me. Only for me to bust into the Monday morning meeting of Keith et al. Woops! :) He was very nice about it though, thanks again!
Grant and Keith together, can't get any better than this
What about blackpenredpen and dr.Peyam?
Keith wasn't having any of it from Grant regarding Newton's notes, haha
5:58
Others laughing at the father
But Grant was so respectful and says "he's a proud dad" 💖
“And Irish!” XD
I love how excited Grant is about that haha
As was Hans Sloane who is he letter was written to. He was from Killyleagh I’m Co Down
I wonder why the Irish are so beloved after being so much hated in the 19th century ( for obvious reasons... **looking at you England** )!!
I even like them myself but don't know why.
First I saw the face of the pi voice, then watched him talking, so glad I saw him walking too. Lol. It's just delightful to watch Grant. Great video.
What grant says at 6:14 hits home with me. I never learned short/long division, adding in columns or any of those normal methods of arithmetic. I learned and taught myself a variety of more intuitive methods and flew through high school and University maths. I relented recently while teaching a year 5 class and the numbers were just so that I didn’t have any tricks that would work. I used short division for the first time last Saturday (I picked it up from looking over students shoulders).
this was great, and i love the description of the method used. personally I also go from highest to lowest, reasoning it as (70+1)x(70+1) = 70x70 + 2x70 + 1 for example
(a+b)^2 = a^2 +2ab + b^2
71^2 = (70+1)^2
Grant is also an Extraordinary Math Boy
He is talking about him
Nobody:
Grant: AND IRISH
I love how Grant is as always magnanimous and encouraging even when the kid is far from a genius.
And far from alive
7:20 I was really hoping that the special Keith magic was going to be him walking around the room 8 or 9 times and then giving the answer.
Keith roasting Grant had me cracking up! xD
This channel is such a gem.
This is actually really interesting by showing what was so extraordinary just 300 years ago. 300 years of education has made the extraordinary just slightly impressive
Grant could not escape a video without saying intuition. Great guy!
The discussion of what is 'intuitive' in carrying out a demanding multiplication (from 6:10 to 6:45) is very much in keeping with 21st century methods for teaching the topic (known as 'number sense' - check out Marilyn Burns or Jo Boaler) ... BTW, I'm Irish too!
The amount of work you guys puts in to this video is admirable. Love Keith's detective work.
No joke, when he said at the beginning ''gloves of destiny'', it reminded me of the song ''the ultimate showdown'', i got with the nostalgia train.
Miss those innocent times of the internet.
The man,
The myth,
The legend,
Gront Sonderson himself!
Now *that* is a compelling title
Three wonderful people all in the same room!
Grant has been blessed.
My daughter is 7 and a half. She is able to get this right in about the same amount of time. A minute or two using the same method.
The method is fantastic and makes people look pretty smart when really it is just basic multiplication and addition.
We should definitely teach this to kids. AFTER they have learned the “area” method and fully understood it.
3b1b sure is an incredible math boi
There is a method for mentally performing squares. It is explained by Arthur Benjamin in his books and used in his famous TED talk "Lightning calculation and other mathemagic".
I haven't watched past the provisional card draw yet, but I chucked when it occurred to me if they search and can't find the bust anywhere then the whole situation and the video recording it will have miraculousy provided by _becoming a huge bust_ themselves
Oh no another Brady channel to take all my free time.
I know Grant's voice, but had never seen him. Nothing like I had imagined!
I am a simple man. I see grant Sanderson, I click it.
thanks you for sharing, regards from Peru
Long overdue guest!! Nice!
This is actually Grant's second time on the channel - did you catch the other one?
Objectivity I must have missed it. Thanks I’ll definitely check it out. Big fan of his channel. Hope all you guys are safe and healthy. Take care.
49141 Was correct...ish. 71x71 equals 49(x10x10) + 141 ie 5041
Somehow I am more intrigued by Keith's statement at 2:30 than most other things in the video.
sounds like latin, but I'm not certain...
Title of a work by Newton? Latin was used a lot more in academic texts in his time.
Yeah me too.
This is what I need right now
Busted!
- That's not that fast. That's not that impressive!
- He's SEVEN!
- Oh, yeah, you're right.
Keith, I love you!
He's so cheeky in this one
holding Newton's PRINCIPIA. MATHEMATICA, manuscript is life best moment itself. Inviting Grant is gem itself.
So these archives and letters from all prodigy around the world i guess. So cool.... wondering so many secrets left open to the world yet or probably not but still good place to visit ( but whats the qualification required lol, must be PHd at least). It is treasure box room. :)
for some numbers like 71 ... it is very helpful to know that difference of square of consecutive numbers is just the sum of those numbers. So, 71^2 = 71^2-70^2 + 70^2 = (71+70) + 4900 = 5041.
Grant Sanderson the extraordinary math boii.
Hoping this was filmed before social distancing became necessary, and not evidence that England has too-quickly dropped distancing guidelines.
Sassy Keith is everything we ever wanted!
I'm such a huge fan of grant!
He is great. That's it.❤️❤️
Interesting facts about Brodie (in no particular order):
1. The first president of the British General Medical Council (the guys that register you as a doctor) - thus the George Washington of the medical profession in Britain.
2. Gray's Anatomy - that esteemed medical tome - was dedicated by its author Henry Gray to Brodie.
3. He was a president of the Royal Society (1858-1861).
4. His eldest son, a Mathematician (!), who discovered graphene oxide, a novel component in development of fibre optics and the future of the internet!
Brady, do you keep track of the which drawers are/aren't picked? Would be interesting to looks at.
Seeing the card catalog brought back so many memories from my childhood. :-) But I'm surprised they weren't all wearing cotton gloves to handle these very old books!
There's two schools of thought on this apparently. On the one hand the gloves protect the paper from the oils on your skin, on the other hand they reduce sensitivity so you're more likely to cause mechanical damage. It depends on the curator's judgement as to which they think is the bigger risk.
4:22 To anyone who is confused, when asked suddenly, he tried quick multiplication in his head.
71 × 71 [XY x AB]
7 × 7 = 49, 1 × 1 = 1 [X x A] [ Y x B]
49 _ _ _ 1
(7 × 1) + (1×7) [(X x B) + (Y x A)]
14 (put this in the middle of 49 and 1
49 14 1
Add 1 in front of "14" to 49
ie because 1 is carried over to 49 or (49 + 1)
You get 5041
I know it's confusing. Just UA-cam some videos peeps. 😊
does anyone know what happened to the boy ? Who was he or some other later references?
I would love to see the first and last items in the drawers.
We’ve done that.
We are lucky Today for being able to have access to all the geniuses of the world. Thanks to Internet.
I like how 49141 is not even the same number of digits as 5041.
It actually could be the right answer though! 491 could be 49 plus the carry 1 , which makes it 50. So 49141 is 5041.
Grant did the right calculations in his head, though. He should've added the first 1 in 141 into the 49 to get 50, so 5041.
He likely did it by 71*71=(70+1)*(70+1)=70^2+2*70+1=4900+140+1. The other method is to use difference of squares 71^2-1^2=(71-1)(71+1)=70*72, so 71^2=1+70*72.
Yeah, now that you two say that, he was closer than I thought.
@@williamyue7342 And that's the right way do do arithmetic when you do it in your head.
I always use the binomial-theorem when multiplying two-digit numbers in my head; it's easier with squares, but works just as well for two different numbers. You can expand it to three-digits, but it gets hard to keep track of all those digits.
MY IDOL!
My dream is to do this tour.
The sass from Keith is awesome
One can always depend on Keith for a good pun. Well done.
Keith's got some wit in him 😄
The funny thing is that I managed to square that quickly and the rule is based on one of his videos.
3blue1brown now reminds me of Norm Macdonald
Canadian treasure
Oh, Alex!
Nice.
7:05 1867 **Smiles in Canadian**
Keith has special magical powers confirmed
At this point, I won't be surprised if Grant becomes a frequent visitor.
I keep looking for Noah Wylie to walk through the background carrying a sword or something...
On Maths instruction (at least in the US): we generally teach kids an algorithmic approach, not a mathematical one
And then some bright minds come up with an even more abominable approach called Common Core
I wonder if Trachtenberg would have gotten it right faster?
Grant is taller than I expected
What does Keith do to stay in shape? Does his back not hurt bending over so far to read all the time?
I'm a simple man, I see a talking pi symbol, I click
The dude going through the books is one of the descendants of newton.
Notice how Grant did the multiplication in the same way the kid did and got wrong basically the same part
8:15 Brodie is a dead ringer for Benedict Cumberbatch.
4:31 Grant is pie lover 49 (141).
At 7 or 8 years old, I was still licking paint and refining my armpit fart noises.
Look it's Grant of 3Blue1Brown fame
Such sass from Keith hahaha
I am so familiar with the voice
Busted.
For those who doesn't know why is he impressed by selecting an Irishman, Grant is Irish from his mother's side. His uncle still lives in Ireland.
B Brodie is Tim traveller.
Brady!! What are in the big orange compressed gas cylinders? O2? N2?
They are most likely "Argonite", a mixture of Argon and Nitrogen used in fire suppression.
Grant kind of looks like Conan Obrien at some angles.
If you know that 71² is 1 more than 7! factorial then you can do it very fast
He kept mentioning: "He's an Irish". I don't know but is it something to be proud of?
Grant said he's half-Irish. Unlikely that he'd pull something about math AND someone of his nationality (more or less)
being proud of being part-Irish is an American thing, really (which Grant is).
@@pearceburns2787 Not really an "American" thing
That suade suit coat Keith is wearing is pimp
I miss card catalogs.
So wait, he was able to travel to Europe during the pandemic? Or was this filmed months ago?
This was filmed earlier in the year, long before lockdown
Objectivity You realize what this means! You’re sitting on unreleased content that you’re depriving us of! Outrageous! 😉
Grant is half-Irish. Wow.
Grant did 49000 + 141 instead of 4900 + 141. I made similar mistakes.
4:46 tell me I'm not the only one who thinks this is a huge memable moment...