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
@@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 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
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.
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.
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".
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!
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. :)
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 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.
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. 😊
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
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.
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.
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☹️
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.
"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
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.
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.
“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?
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!
5:58
Others laughing at the father
But Grant was so respectful and says "he's a proud dad" 💖
Keith wasn't having any of it from Grant regarding Newton's notes, haha
Grant and Keith together, can't get any better than this
What about blackpenredpen and dr.Peyam?
“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.
I love how Grant is as always magnanimous and encouraging even when the kid is far from a genius.
And far from alive
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).
Grant is also an Extraordinary Math Boy
He is talking about him
Nobody:
Grant: AND IRISH
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.
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 could not escape a video without saying intuition. Great guy!
49141 Was correct...ish. 71x71 equals 49(x10x10) + 141 ie 5041
3b1b sure is an incredible math boi
The man,
The myth,
The legend,
Gront Sonderson himself!
Keith roasting Grant had me cracking up! xD
This channel is such a gem.
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.
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.
Now *that* is a compelling title
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.
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.
Three wonderful people all in the same room!
Keith, I love you!
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".
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.
I know Grant's voice, but had never seen him. Nothing like I had imagined!
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!
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.
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. :)
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
Sassy Keith is everything we ever wanted!
- That's not that fast. That's not that impressive!
- He's SEVEN!
- Oh, yeah, you're right.
8:15 Brodie is a dead ringer for Benedict Cumberbatch.
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.
Oh no another Brady channel to take all my free time.
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. 😊
thanks you for sharing, regards from Peru
Grant has been blessed.
I am a simple man. I see grant Sanderson, I click it.
Busted!
Brady, do you keep track of the which drawers are/aren't picked? Would be interesting to looks at.
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.
He's so cheeky in this one
This is what I need right now
I'm such a huge fan of grant!
7:05 1867 **Smiles in Canadian**
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
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.
One can always depend on Keith for a good pun. Well done.
I'm a simple man, I see a talking pi symbol, I click
4:31 Grant is pie lover 49 (141).
What does Keith do to stay in shape? Does his back not hurt bending over so far to read all the time?
The sass from Keith is awesome
The funny thing is that I managed to square that quickly and the rule is based on one of his videos.
I keep looking for Noah Wylie to walk through the background carrying a sword or something...
We are lucky Today for being able to have access to all the geniuses of the world. Thanks to Internet.
I would love to see the first and last items in the drawers.
We’ve done that.
does anyone know what happened to the boy ? Who was he or some other later references?
At this point, I won't be surprised if Grant becomes a frequent visitor.
Grant is taller than I expected
3blue1brown now reminds me of Norm Macdonald
Canadian treasure
Notice how Grant did the multiplication in the same way the kid did and got wrong basically the same part
My dream is to do this tour.
I wonder if Trachtenberg would have gotten it right faster?
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
The dude going through the books is one of the descendants of newton.
MY IDOL!
Grant kind of looks like Conan Obrien at some angles.
Keith has special magical powers confirmed
He is great. That's it.❤️❤️
Grant is half-Irish. Wow.
At 7 or 8 years old, I was still licking paint and refining my armpit fart noises.
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.
1:38 is that a cat or a squeaky door opening lol
Grant did 49000 + 141 instead of 4900 + 141. I made similar mistakes.
I find it uncomfortable watching these old documents being handled without wearing gloves.
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.
Look it's Grant of 3Blue1Brown fame
4:46 tell me I'm not the only one who thinks this is a huge memable moment...
It was going to be a bust either way.
"I must. I must...I must improve my bust!"
(Quote from somewhere?)
Oh, Alex!
If you know that 71² is 1 more than 7! factorial then you can do it very fast
I am so familiar with the voice
Keith's got some wit in him 😄
I miss card catalogs.
B Brodie is Tim traveller.
Such sass from Keith hahaha
That suade suit coat Keith is wearing is pimp