When this guy was a student at Mayfield High School (Ohio), he was brought into my 8th grade algebra class at Mayfield Middle School (1978-79 school year) and taught the class his methods for squaring numbers, and I still use them today.
Ye Vedic maths hai kabhi Apne Sanatan dharma ke arth shastra ko bhi padh lo 1.एकाधिकेन पूर्वेण अर्थ: पूर्व वाले से एक अधिक प्रयोग: आवर्ती दशमलव भिन्न[recurring decimal fraction],वर्ग ज्ञात करने में,आंशिक भिन्नों द्वारा समाकलन[integration by using partial fractions]. उदाहरण: --वर्ग निकालने के लिए--(यहाँ केवल 5 से अंत होने वाली संख्याओं की बात की जा रही है)-- 25 का वर्ग:यहाँ पूर्व का अंक(संख्या) है 2 .----->2 का एकाधिक है 3. अब अंतिम हल है 2x3\25------->वर्गफल के दुसरे भाग में हमेशा 25 ही होगा. इस तरह 25 का वर्ग=625. 35 का वर्ग=3x4\25=1225, 175 का वर्ग=17x18\25=30625, 995 का वर्ग=99x100\25=990025.इत्यादि.
@@sauravsingh7271 but still for vedic math to work fast for higher numbers needs u to know other numbers square and addition to top that. I mean just look at his speed. And I doubt that if u learnt vedic maths they must have thought the derivation to u.
Diwana Kavi still it takes LOTS of practice. Let's say now we know how it works, then how long do you think you need to practice it to solve 8463 squared that fast?
@FACTS & knowledge He's still very well at articulating and explaining it. It really doesn't matter whom invented the method; if they don't have the platform or aren't able to explain it in a way that is easily conveyed and understood to the audience, then it is for nothing. This guy is a great proxy for the original work. Also, faulting this guy for teaching the methods in said book, is akin to badgering any other math teaching video for copying the teachings of the ancient Babylonians.
@Hitesh chourasiya maybe he discovered it on his own? It's not so hard to find out this "trick". Heck, I discovered this myself in high school. For a professor like him? Fnding this would've been a piece of cake
For those of you who would like the last problem in slow motion: 4913^2. He chooses 87. so now it is 5000x4826=5x4826x1000=(5x4800+5x26)x1000=(10x2400+10x13)x1000=(24000+130)x1000=(240130)x1000=24130000. Memorizes 130000=Dime. (Probably his mnemonic involves rules where 1 stands for nothing, 2 stands for something, 3 stands for dime etc. and then he combines them. So for example if it was 23000 it would be some other word plus Dime). Now he does 87x87=90x84+3^2=(9x84)x10+3^2=((9x80)+9x4)x10+3^2=(720+34)x10+3^2=(756)x10+3^2=7560+9=7569 now add that to 24000000+Dime (which is 130000)+7569=24137569
Except for the slight typo (240130), perfectly summed up. Although I do think he went around 5000x4826 a different way: 5000x4826 means 4826/2 and add 0000 so 24130000. Feels easier and quicker.
Nice job! One slight correction. He said he was doubling 4826. As he referenced earlier with doing 51^2, he's dividing it by 2. So, he said doubling for 4826, he's dividing it by 2 to get 2413 (x 10) = 24,130... Keep the "dimes" is using peg system. d = 1, m = 3, s = 0.
We can generalize the equation at 8:30 to multiply two arbitrary integers A and B. Notice that (A+d)(B-d) = AB-dA+dB-d^2 = AB - d(A-B+d), hence AB = (A+d)(B-d) + d(A-B+d), and notice that if A=B we retrieve the eq. at 8:30. For example consider: 26*33. The nearest easy number is 30, so subtract 3 from 33 and add 3 to 26: 29*30. Then add 3*(26-33+3) = 3*(-4), so: 26*33 = 29*30 - 3*4 = 870-12 = 858.
You sir just taught me something no teacher ever could. I literally just successfully found the square route of 76 and checked it to be correct. My cat was jumped as I shouted YESSSS! haha
For those of you watching this and thinking that you'll never bee able to do it it's because you need to improve your basic math skills first. You may have to practice 3 by 3 subtraction, 3 by 3 adding and 2 by 2 multiplication. Just time yourself on 20 problems in each subject and if you're around 1 to 2 minutes for the 20 problems you're ready to start learning this method for squaring.
If it was published under a channel named Arthur Benjamin it probably would have. If MAA could show they have possession of this guy’s prowess then the million are earned.
@@3acreations So , he applied that not like you Indians who never respect Veds and Vedic Maths , now when others are using it you are getting jealous . Ya , he should mention that , but it will be of more use if he teach them that , as knowledge is important more than its source . If you had respected your Vedas , then India would have been developed more than others . you sing of Ancient Glory . But don't understand that what you are now matters , not what you were. Most of you , I mean don't even believe them , thatswhy Vedic Maths books are found lying in trash which is one of least selling books. P.S. I don't hate India or you , I just meant to say that come out of your bubble as no one gives a damn about your past . Only what you are now matters , which I called the hub of wasteful students supporting terrorists and politicians too backing them like hell .While criticising your government for even trying to get into NSO or bring uniformity in your country . That's the impression I got of your country .
There is no magic though. This is simply (a)^2-(b)^2 = (a - b)( a+ b). Adding b^2 both sides: a^2=(a-b)(a+b)+b^2. Anyways, this video is very helpful. I appreciate him for putting this up.
Professor Benjamin has improved my mathematics so much LOL. I wish I knew how to do it this way 50 years ago LOL but now my son benefits from this! Fantastic and I just subbed!
Indeed, you are a number wizard. This video is very informative. I have tried up to 4 digits okay; but I couldn't come out as fast you you do! It's God'd gift to you. It's great that you are sharing to others; it is really good.
Mathematics has always been my favorite subject and it's you sir, who made me go crazy for Mathematics... Love from India ❤ I'm sure that I'm gonna meet you in 2025... You are my best teacher...
This is really helpful - thank you Dr Benjamin. It's clear that he just 'knows' the squares of most, if not all, two-digit numbers, in much the same way as a lot of people watching this just 'know' that 6 x 9 is 54, or that 8 x 12 = 96. This must be really helpful for calculating some of the larger squares.
You can save time by memorizing all the squares from 10 to 100 to begin with. Since you already know how to square numbers ending in 0 and 5, there are only 70 left to memorize. So it is not that impossible if you think about it. In less than a week you should have it done. To calculate addition faster you can visualize that you read the numbers from a whiteboard, you see the numbers there, just like when you see them written with your eyes open. I think that's why he closes his eyes while doing the addition in his mind. But you also need to learn how to do subtraction quickly in your mind, for the first step when you go down. 71 to 100 -> you see easily that it is 29, but the other way: 71 - 29 is not that fast unless you have learnt how to do that quickly in your mind. And the arm and body movements help him increase the brain's speed to jump to the next step and the next step and so on. Our human brain likes to take pauses, but you must force it to continue with the calculations, step by step, there is no need to freeze the thought on a specific result when you have more steps to do. I think this is the hardest part to master.
It's Vedic math brother 🇮🇳 1.एकाधिकेन पूर्वेण अर्थ: पूर्व वाले से एक अधिक प्रयोग: आवर्ती दशमलव भिन्न[recurring decimal fraction],वर्ग ज्ञात करने में,आंशिक भिन्नों द्वारा समाकलन[integration by using partial fractions]. उदाहरण: --वर्ग निकालने के लिए--(यहाँ केवल 5 से अंत होने वाली संख्याओं की बात की जा रही है)-- 25 का वर्ग:यहाँ पूर्व का अंक(संख्या) है 2 .----->2 का एकाधिक है 3. अब अंतिम हल है 2x3\25------->वर्गफल के दुसरे भाग में हमेशा 25 ही होगा. इस तरह 25 का वर्ग=625. 35 का वर्ग=3x4\25=1225, 175 का वर्ग=17x18\25=30625, 995 का वर्ग=99x100\25=990025.इत्यादि.
OMG!!!!!! You are a REAL CALCULATOR. A BIOCALCULATOR!!!!!!!!!! GENIUS!!!! Not everyone is as fast as you are. I wish I had a Maths teacher like you. Keep it up.
+Matthias Köhler (MattK269) good job! try now practice with finance questions in Finmath app itunes.apple.com/us/app/finmath-financial-mathematics/id1085429075 i hit just Associate level
for 2 digit number (AB). (AB)sq = B sq + 2AB + A sq, writing down the units digit and carrying the other digits to be added to the next operation going from right to left. For example, 26 sq: 6x6= 36, write down 6 and carry the three, 2(2x6) = 24+3=27,, write down the 7 and carry the 2, 2x2= 4 +2 = 6. Number written down or or kept in memory = 676. With a little mental practice it is easy. Squaring a number ending in five easier. For examplet 25 sq. Write down 25. Mutltiply the next digit to the left by the next number larger than it (3), in this case. So, 2x3 = 6. Put the 6 to the left of the 25 and there is your square.
i worked out that x^2 + y^2 +2xy= the square of any number. if the number is (xy)^2. hence 51^2 is 50^2 + 1^2 + 2*50*1. This works equally for every number. So a 3 digit number can be expressed as 124^2= 120 ^2+4^2 +2*120*4 Although id never get to it as fast as this practitioner, and wonderful educator x. however there must be a formula for 3 digits, 4 digits as well.. just never worked it out yet..
Wouldn't the x^2 + y^2 +2xy method defeat the purpose of squaring any complicated number more than 100? I mean, you still have to square a 3 digit number to find the square of another 3 digit number. Like, to find 124^2 you have to do 120^2. Also that method is pretty simple because it's basically the regular (x+y)^2 formula.
You made my Maths stronger by your +2 -2 trick , I am using traditional methods Calc but because I sometimes misses a no. As I divide no. Into 4-5parts to make Calc easy , and if I don't forgot all those 4-5nos . it takes only some secs.... But you are great sir , now it take 5sec only with no need to remember 5-5 nos
You are an amazing professor. Hopefully I can find a video of you teaching us how we can find the root of numbers without using calculators. I’m also looking for tricks for division problems.
you are a genius i surprised my teacher like when she called me dumb.. and she asked me square of 19 and we get 361 and everyone clapped but then she asked 99 and I answered after couple of seconds 9801 and I gained my respect 😎
I spent a few months pondering about it and no joke i kind of figured it out on my own.. But there was always something missing.. Your video brought my memories backs RN explains where i went. wrong.. Thank you for sharing this
Sir my 5 grade kid watch your video.....your way of delivering the lecture is very nice even kids can understand thank you very much......so please make video for mental maths decimal division,patterning and long multiplication......
I only tried doing it this way after about 3-5 years of doing it my own way, which produced the answer in exactly the same time, but had a few differences. i.e. multiply 87 by 80 then add 87 times 7 to get 7569. I had mastered this in the 4th grade and have to use it because rewiring the synapses in my brain would make me slightly slower. But i will def. remember the method shown in the video. Thanks for the useful tips. Art Benjamin you are an inspiration to us all.
Thank you so much for this...!!! My stats teacher is going to piss herself when I can complete half of a one-way anova by the mind alone!! hehe....Now to find the video on how to multiply 2 digit numbers like 24 x 39 etc...
start from left to right, we have 2 x 3 (20 x 30) so we have 600 record the 600 in your head and continue, 2 x 9 (180) add to 600 is 780 and add 3 x 4 (120) 780 + 120 = 900 ok still have the 900 in your head and add 4 x 9, 936. this is the answer, the method is multiply straight, cross, straight, I X I. so if we have 43 x 67 we start with 4 x 6 = 2400. and we add 4 x7 = 280 we have 2680 and we add 3 x 6 is 180 so 2680 + 180 is 2860 + 3 x 7 = 2881
Same I dont concentrate either I remember back in first grade my teacher used to teach like take 1 in your finger and 6 in your mind and shit which I did not use to calculate I used my brain
The teacher used to give us a whole page of simple maths as HW in first grade and I hated HW so I did it in the class itself with my friends i calculated so fast that after i finished my friends had completed 2 columns out of 10
After the first demonstration of the "magic trick", I really wanted to understand why, how such a nice relationship between a number and its two equidistant neighbours! First I tried to figure it out geometrically, but I had no light bulb moment.. I took the algebraic path, expressed the two equidistant neighbours as x and (x+2n) and the number to be squared as (x+n), then wrote the formula for what the professor did in the demonstration: x*(x+2n)+n^2=(x+n)^2... And I giggled with the surprise to arrive at the square of the binomial formula!!! I have applied it so many times in school, that after decades I can still remember it! And I might have written the "a^2+2ab" part as "a(a+2b), but never ever seen in these factors, two equidistant values to (a+b). I am so glad this video showed up in my RUclips suggestions! Thank you!
It's Vedic math brother 🇮🇳 1.एकाधिकेन पूर्वेण अर्थ: पूर्व वाले से एक अधिक प्रयोग: आवर्ती दशमलव भिन्न[recurring decimal fraction],वर्ग ज्ञात करने में,आंशिक भिन्नों द्वारा समाकलन[integration by using partial fractions]. उदाहरण: --वर्ग निकालने के लिए--(यहाँ केवल 5 से अंत होने वाली संख्याओं की बात की जा रही है)-- 25 का वर्ग:यहाँ पूर्व का अंक(संख्या) है 2 .----->2 का एकाधिक है 3. अब अंतिम हल है 2x3\25------->वर्गफल के दुसरे भाग में हमेशा 25 ही होगा. इस तरह 25 का वर्ग=625. 35 का वर्ग=3x4\25=1225, 175 का वर्ग=17x18\25=30625, 995 का वर्ग=99x100\25=990025.इत्यादि.
Rednitro - Gaming this could probably be due to exam stress and you doubting yourself. I would suggest that practicing more would make you more confident in your abilities.
![Blox Fruits Dragon Rework Update [Full Stream]](http://i.ytimg.com/vi/EqDAp8udhm0/mqdefault.jpg)
When this guy was a student at Mayfield High School (Ohio), he was brought into my 8th grade algebra class at Mayfield Middle School (1978-79 school year) and taught the class his methods for squaring numbers, and I still use them today.
Never seen anyone explaining mathematics as simple as this.
Ye Vedic maths hai kabhi Apne Sanatan dharma ke arth shastra ko bhi padh lo
1.एकाधिकेन पूर्वेण
अर्थ: पूर्व वाले से एक अधिक
प्रयोग: आवर्ती दशमलव भिन्न[recurring decimal fraction],वर्ग ज्ञात करने में,आंशिक भिन्नों द्वारा समाकलन[integration by using partial fractions].
उदाहरण: --वर्ग निकालने के लिए--(यहाँ केवल 5 से अंत होने वाली संख्याओं की बात की जा रही है)--
25 का वर्ग:यहाँ पूर्व का अंक(संख्या) है 2 .----->2 का एकाधिक है 3.
अब अंतिम हल है 2x3\25------->वर्गफल के दुसरे भाग में हमेशा 25 ही होगा.
इस तरह 25 का वर्ग=625.
35 का वर्ग=3x4\25=1225,
175 का वर्ग=17x18\25=30625,
995 का वर्ग=99x100\25=990025.इत्यादि.
What did i just say...?
SIMPLE? 😲😨 I may be some time with this.
you mean the david mitchell claymation thats bene left in the sun?
Nobody is gifted out there
It took his whole life to be of this level
Salute to his HARD WORK
Devvrat Tomar Bro it is all vedic math.He has not developed that on his own.....
Devvrat Tomar they learn from us and then again teaches us back.
@@sauravsingh7271 but still for vedic math to work fast for higher numbers needs u to know other numbers square and addition to top that. I mean just look at his speed. And I doubt that if u learnt vedic maths they must have thought the derivation to u.
He is 50× or even more than my math sir who I know is very very smart. And ya I'm doing jee so u know who's teaching me.
@Reloaded Past The Iq tests are not very accurate in capturing intelligence... people have diff kinds of intelligence
His confidence and happiness reflects his pure hardwork...
Really enthusiastic teacher!
I am now squaring license plate numbers while walking the dog. :-)
Haha
Michel Lavergne, 😂😂😂😂😂
witty man haha :)
CTFU
hahahahah
"If you can't explain it simply, you don't understand it well enough"
~ And this man explains it quite simply ~
Boo to my math teachers!
Thank you Benjamin.
I'm Carlton, secondary school maths teacher in Cameroon.
God bless you for me
"This is why it works" - at 8:00. A big thumbs up!
Plain genius. You have a very unique gift😊. I salute you Sir. Thank you for sharing. 👍
@Diwana Kavi still you have to practice it
Diwana Kavi still it takes LOTS of practice. Let's say now we know how it works, then how long do you think you need to practice it to solve 8463 squared that fast?
@FACTS & knowledge He's still very well at articulating and explaining it. It really doesn't matter whom invented the method; if they don't have the platform or aren't able to explain it in a way that is easily conveyed and understood to the audience, then it is for nothing. This guy is a great proxy for the original work. Also, faulting this guy for teaching the methods in said book, is akin to badgering any other math teaching video for copying the teachings of the ancient Babylonians.
@Hitesh chourasiya maybe he discovered it on his own? It's not so hard to find out this "trick". Heck, I discovered this myself in high school. For a professor like him? Fnding this would've been a piece of cake
It’s called practice!
Ive been watching this guy since the 80s when he hosted his Mathemagics tour shows. He is brilliant.
For those of you who would like the last problem in slow motion: 4913^2. He chooses 87. so now it is 5000x4826=5x4826x1000=(5x4800+5x26)x1000=(10x2400+10x13)x1000=(24000+130)x1000=(240130)x1000=24130000. Memorizes 130000=Dime. (Probably his mnemonic involves rules where 1 stands for nothing, 2 stands for something, 3 stands for dime etc. and then he combines them. So for example if it was 23000 it would be some other word plus Dime). Now he does 87x87=90x84+3^2=(9x84)x10+3^2=((9x80)+9x4)x10+3^2=(720+34)x10+3^2=(756)x10+3^2=7560+9=7569 now add that to 24000000+Dime (which is 130000)+7569=24137569
Wow
Except for the slight typo (240130), perfectly summed up. Although I do think he went around 5000x4826 a different way: 5000x4826 means 4826/2 and add 0000 so 24130000. Feels easier and quicker.
the fuck u talkin bout
9*4=36
Nice job! One slight correction. He said he was doubling 4826. As he referenced earlier with doing 51^2, he's dividing it by 2. So, he said doubling for 4826, he's dividing it by 2 to get 2413 (x 10) = 24,130... Keep the "dimes" is using peg system. d = 1, m = 3, s = 0.
We can generalize the equation at 8:30 to multiply two arbitrary integers A and B. Notice that
(A+d)(B-d) = AB-dA+dB-d^2 = AB - d(A-B+d),
hence
AB = (A+d)(B-d) + d(A-B+d),
and notice that if A=B we retrieve the eq. at 8:30.
For example consider:
26*33.
The nearest easy number is 30, so subtract 3 from 33 and add 3 to 26:
29*30.
Then add 3*(26-33+3) = 3*(-4), so:
26*33 = 29*30 - 3*4 = 870-12 = 858.
Impressive in that he can explain mathematically why it works. Kudos to you, sir!
You sir just taught me something no teacher ever could. I literally just successfully found the square route of 76 and checked it to be correct. My cat was jumped as I shouted YESSSS! haha
I used to think mathematics had no application until I met him.
Thanks so much for sharing
This is the best , fastest and easiest meathod ever .
I salute you. Ad can never thank you enough.
I' ll be practicing these from now on
You should take a look on his book, it's called Secrets of Mental Math.
Mastered it yet?
@@IiIytIi can u send link of his book
after 3 years, are you able to square 5-digit number?
You sir litterally blew my mind.
For those of you watching this and thinking that you'll never bee able to do it it's because you need to improve your basic math skills first. You may have to practice 3 by 3 subtraction, 3 by 3 adding and 2 by 2 multiplication. Just time yourself on 20 problems in each subject and if you're around 1 to 2 minutes for the 20 problems you're ready to start learning this method for squaring.
Been 5 years and 364 days and this video is still amazing
All dislikes Are calculator manufacturers😂😂😂
😂
And my teacher that says it’s not the better way to do it
Lololol
Lol
😀
The information you hold is as gold to humanity...
Your brain is Amazing sir...
😂😂😂
hol- up
My teachers have been trying to teach me how to square numbers for years now, but I just learned it in just 12 mins. This dude is so cool
he's a genius. he is really amazing. I have never seen anybody in my life doing this sort of stuff. oh! he's a true genius.
I used to be a teacher and i just loved the way this was explained. In simpke words without rushing and gets into head so so easily.
This video deserves a million likes.. Hats off to this genius 👏
Hello
Hii
If it was published under a channel named Arthur Benjamin it probably would have. If MAA could show they have possession of this guy’s prowess then the million are earned.
@@3acreations So , he applied that not like you Indians who never respect Veds and Vedic Maths , now when others are using it you are getting jealous .
Ya , he should mention that , but it will be of more use if he teach them that , as knowledge is important more than its source .
If you had respected your Vedas , then India would have been developed more than others .
you sing of Ancient Glory . But don't understand that what you are now matters , not what you were.
Most of you , I mean don't even believe them , thatswhy Vedic Maths books are found lying in trash which is one of least selling books.
P.S. I don't hate India or you , I just meant to say that come out of your bubble as no one gives a damn about your past .
Only what you are now matters , which I called the hub of wasteful students supporting terrorists and politicians too backing them like hell .While criticising your government for even trying to get into NSO or bring uniformity in your country .
That's the impression I got of your country .
Pallavi Shukla I’m assuming he didn’t invent this but idk
There is no magic though. This is simply (a)^2-(b)^2 = (a - b)( a+ b). Adding b^2 both sides:
a^2=(a-b)(a+b)+b^2.
Anyways, this video is very helpful. I appreciate him for putting this up.
Ved Prakash
Yes we all know the formula
But not many thought about its application
Professor Benjamin has improved my mathematics so much LOL. I wish I knew how to do it this way 50 years ago LOL but now my son benefits from this! Fantastic and I just subbed!
Indeed, you are a number wizard. This video is very informative. I have tried up to 4 digits okay; but I couldn't come out as fast you you do! It's God'd gift to you. It's great that you are sharing to others; it is really good.
Mathematics has always been my favorite subject and it's you sir, who made me go crazy for Mathematics...
Love from India ❤
I'm sure that I'm gonna meet you in 2025... You are my best teacher...
yo same dude
~rounak
You mean year 45^2 ... right?
@@spongebobsucks12 😂 Bro, you made my day
This is really helpful - thank you Dr Benjamin. It's clear that he just 'knows' the squares of most, if not all, two-digit numbers, in much the same way as a lot of people watching this just 'know' that 6 x 9 is 54, or that 8 x 12 = 96. This must be really helpful for calculating some of the larger squares.
I look at the thumbnail once at this is what instantly goes through my mind:
*‘Nobody should be that happy when they hear maths’*
You can save time by memorizing all the squares from 10 to 100 to begin with. Since you already know how to square numbers ending in 0 and 5, there are only 70 left to memorize. So it is not that impossible if you think about it. In less than a week you should have it done.
To calculate addition faster you can visualize that you read the numbers from a whiteboard, you see the numbers there, just like when you see them written with your eyes open. I think that's why he closes his eyes while doing the addition in his mind.
But you also need to learn how to do subtraction quickly in your mind, for the first step when you go down. 71 to 100 -> you see easily that it is 29, but the other way: 71 - 29 is not that fast unless you have learnt how to do that quickly in your mind.
And the arm and body movements help him increase the brain's speed to jump to the next step and the next step and so on. Our human brain likes to take pauses, but you must force it to continue with the calculations, step by step, there is no need to freeze the thought on a specific result when you have more steps to do. I think this is the hardest part to master.
I wonder why there are dislikes
UMPESH because they are fucking trolls
jealousy
They feel bad about their low iq
Jealous stuff on internet
Gym teachers
In Brazil i'm not learned this tricks in my school.
God bless this man.
Even with this method, I can't compete with a calculator, Amazing human brain!
Try vedic mathematics book bro buy it from amazon
Practice
watch my maths videos to do calculation easy.
It's Vedic math brother 🇮🇳
1.एकाधिकेन पूर्वेण
अर्थ: पूर्व वाले से एक अधिक
प्रयोग: आवर्ती दशमलव भिन्न[recurring decimal fraction],वर्ग ज्ञात करने में,आंशिक भिन्नों द्वारा समाकलन[integration by using partial fractions].
उदाहरण: --वर्ग निकालने के लिए--(यहाँ केवल 5 से अंत होने वाली संख्याओं की बात की जा रही है)--
25 का वर्ग:यहाँ पूर्व का अंक(संख्या) है 2 .----->2 का एकाधिक है 3.
अब अंतिम हल है 2x3\25------->वर्गफल के दुसरे भाग में हमेशा 25 ही होगा.
इस तरह 25 का वर्ग=625.
35 का वर्ग=3x4\25=1225,
175 का वर्ग=17x18\25=30625,
995 का वर्ग=99x100\25=990025.इत्यादि.
OMG!!!!!! You are a REAL CALCULATOR. A BIOCALCULATOR!!!!!!!!!! GENIUS!!!! Not everyone is as fast as you are. I wish I had a Maths teacher like you. Keep it up.
I tried it with several three-digit numbers myself...and after only a few ones, I could do it using my calculator only to check the result!
+Matthias Köhler (MattK269) good job! try now practice with finance questions in Finmath app itunes.apple.com/us/app/finmath-financial-mathematics/id1085429075 i hit just Associate level
Ikr same I just found it so fascinating and it was so fun for ms
Ikr same I just found it so fascinating and it was so fun for me
Matti2609 jmdukh
I wish I had a good teacher like this
It is indian vedic math that is taught to whole world
Do you guys have to brag this in each comment, have some fucking shame dude
for 2 digit number (AB). (AB)sq = B sq + 2AB + A sq, writing down the units digit and carrying the other digits to be added to the next operation going from right to left. For example, 26 sq: 6x6= 36, write down 6 and carry the three, 2(2x6) = 24+3=27,, write down the 7 and carry the 2, 2x2= 4 +2 = 6. Number written down or or kept in memory = 676. With a little mental practice it is easy. Squaring a number ending in five easier. For examplet 25 sq. Write down 25. Mutltiply the next digit to the left by the next number larger than it (3), in this case. So, 2x3 = 6. Put the 6 to the left of the 25 and there is your square.
i worked out that x^2 + y^2 +2xy= the square of any number. if the number is (xy)^2. hence 51^2 is 50^2 + 1^2 + 2*50*1. This works equally for every number. So a 3 digit number can be expressed as 124^2= 120 ^2+4^2 +2*120*4
Although id never get to it as fast as this practitioner, and wonderful educator x.
however there must be a formula for 3 digits, 4 digits as well.. just never worked it out yet..
also worked out that 3 digit numbers are worked out by x^2 +Y^2 +Z^2 + 2 ( XZ+XY+YZ).. interesting series. Unlike baseball, which is just rounders
What did you work out this is the too old method of squaring
You must have been the professor of the mathamatical association of America bcus u are a genius.
@@joppadoni mr. Joppadoni These formulas werre discovered by our maths teachers hundreads year ago
Wouldn't the x^2 + y^2 +2xy method defeat the purpose of squaring any complicated number more than 100? I mean, you still have to square a 3 digit number to find the square of another 3 digit number. Like, to find 124^2 you have to do 120^2. Also that method is pretty simple because it's basically the regular (x+y)^2 formula.
Your love of mathematics is inspiring! Thank You.
what kind human are you? you are too amazing. i want to be like you.........
He's not a human bro he's a GOD at Math
absolutely correct
Be like u don't become a Xerox copy
Just practice
His a human, either put in the effort or stop saying you want to be him
You made my Maths stronger by your +2 -2 trick , I am using traditional methods Calc but because I sometimes misses a no. As I divide no. Into 4-5parts to make Calc easy , and if I don't forgot all those 4-5nos . it takes only some secs....
But you are great sir , now it take 5sec only with no need to remember 5-5 nos
You are an amazing professor. Hopefully I can find a video of you teaching us how we can find the root of numbers without using calculators.
I’m also looking for tricks for division problems.
In "The Great Courses", which can be ordered online, he gives 24 one hour lectures, and in one he does exactly what you asked.
What a genius you are! You make me more strange. How could you do it? It’s a god gifted intelligence. Hats off Sir.
This is what you call a you tube recommendation 😎. We should admit that we didn't get this , we searched this .
Thanks for your this Valuable Gold gift Sir. God Bless You Fore ever and ever...
you are a genius i surprised my teacher like when she called me dumb.. and she asked me square of 19 and we get 361 and everyone clapped but then she asked 99 and I answered after couple of seconds 9801 and I gained my respect 😎
I spent a few months pondering about it and no joke i kind of figured it out on my own.. But there was always something missing.. Your video brought my memories backs RN explains where i went. wrong.. Thank you for sharing this
Thank you sir for sharing your knowledge with us, and thank you for simplifying math. 😀👍👏
Very happy to see ur hard work and talent..
That moment when you're looking for ASMR and actually learn something really helpful
Sir my 5 grade kid watch your video.....your way of delivering the lecture is very nice even kids can understand thank you very much......so please make video for mental maths decimal division,patterning and long multiplication......
Thanks to this guy i will more easily squaring 2 digit number in my head ☺😊. For 3 digit numbers and up i need more experience
Who else is watching this during the lockdown...
This is mind blowing maths and an amazing teacher to teach it
Don't tell me I am the only one who knows he is doing Vedic maths
Still a very good explanation
this is vedic math only
Correct
@@fictional6734 Yep - check this out
ruclips.net/p/PLIV1J7y0QOo9tWfzvq6-CFR4w0ND0-uBU
You teach how actually mathematics works. Excellent sir.
In my country India..
The tricks shown here is taught to a student of 8th standard..And it is so simple...
well in Belgium we do these methods too but in 4th grade, everyone can do it, its only the speed that is extraordinary . He's soo good god bless him
Aaaaee both of you don't lie....I live in India it's false and I visited Belgium and it's false
Spectacular teacher and will be really helpful for dealing with numbers in daily life.
Sir l am also a mathematician. YOU ARE MY INSPIRATION
What a technique
Salute for your hardwork
🌹🌹🌷🌷⚘⚘
you made things much easier to understand. thanks
Would long for to live the rest of the days in my life with the people like you...
Easy right? How can someone be able to do this 3-steps in his mind in 1 second lol! He is amazing!!!
I only tried doing it this way after about 3-5 years of doing it my own way, which produced the answer in exactly the same time, but had a few differences. i.e. multiply 87 by 80 then add 87 times 7 to get 7569. I had mastered this in the 4th grade and have to use it because rewiring the synapses in my brain would make me slightly slower. But i will def. remember the method shown in the video. Thanks for the useful tips. Art Benjamin you are an inspiration to us all.
How do he calculating too much in mind ???just amazing men.
You are not common person...you are unique..... brilliant .. awesome
Thanks I tried traveling d with any number and brought it back with A and it still works I now I know how algebra works
Damn, people like you that spread your knowledge to others are one of the greatest kinds of people
Thank you so much for this...!!! My stats teacher is going to piss herself when I can complete half of a one-way anova by the mind alone!! hehe....Now to find the video on how to multiply 2 digit numbers like 24 x 39 etc...
easy , you just need to scatter those number into the nearest easy number :
24 = 20 + 4 , 39 = 40 - 1
thus 24 x 39 = (20+4)(40-1)
Thank You!!
you're welcome :)
24 x 39= 30 x 24+ 9 x 24 =936 :)
start from left to right, we have 2 x 3 (20 x 30) so we have 600 record the 600 in your head and continue, 2 x 9 (180) add to 600 is 780 and add 3 x 4 (120) 780 + 120 = 900 ok still have the 900 in your head and add 4 x 9, 936. this is the answer, the method is multiply straight, cross, straight, I X I. so if we have 43 x 67 we start with 4 x 6 = 2400. and we add 4 x7 = 280 we have 2680 and we add 3 x 6 is 180 so 2680 + 180 is 2860 + 3 x 7 = 2881
I enjoyed and learned. These are the most important thing of this video.
watch my maths tricks to learn something.
Amazing method
Really enjoyed the full classes..
💜
Unique person!
Thanks sir
He is the real mathematical genius... wish we would have
these types of teachers in our future
Awesome... Now i can show off by squaring numbers faster than a calculator 😂😂
Very nicely explained
Even a layman can understand
Wow man
that is a unique gift
First time a math vid is awesome. Loved it
Holy Crap ! I've been doing math in my head this way without even knowing I was doing it this way ! Maybe I'm a math genius & didn't even know it ....
Same I dont concentrate either I remember back in first grade my teacher used to teach like take 1 in your finger and 6 in your mind and shit which I did not use to calculate I used my brain
The teacher used to give us a whole page of simple maths as HW in first grade and I hated HW so I did it in the class itself with my friends i calculated so fast that after i finished my friends had completed 2 columns out of 10
It's amazin ..thanks sir for share your knowledge with us
He is so adorable. I definitely learned something new!
This is why we call teachers the maker of the nation.
WOW!!!What a genius!
I like this man...he is awesome..
Just amazing sir
Very nice trick. Thanks for sharing
Salute for such a hardwork.
Special thanks to funded people for this video
1:48 if you look close enough her battery is on 69%
nice
@@justsomeguy892 yummy
I like that Arthur sir justified what shortcut he was teaching. You would get justification of the shortcuts everywhere.
Smart asllllll. Damn boy I’m bouta look like a genius in math class
Great useful video! Thanks for sharing!
Love from India.
Genius
After the first demonstration of the "magic trick", I really wanted to understand why, how such a nice relationship between a number and its two equidistant neighbours! First I tried to figure it out geometrically, but I had no light bulb moment.. I took the algebraic path, expressed the two equidistant neighbours as x and (x+2n) and the number to be squared as (x+n), then wrote the formula for what the professor did in the demonstration: x*(x+2n)+n^2=(x+n)^2... And I giggled with the surprise to arrive at the square of the binomial formula!!! I have applied it so many times in school, that after decades I can still remember it! And I might have written the "a^2+2ab" part as "a(a+2b), but never ever seen in these factors, two equidistant values to (a+b).
I am so glad this video showed up in my RUclips suggestions! Thank you!
Genius guy! However, this video called me dumb in so many ways 🤦♂️
It's Vedic math brother 🇮🇳
1.एकाधिकेन पूर्वेण
अर्थ: पूर्व वाले से एक अधिक
प्रयोग: आवर्ती दशमलव भिन्न[recurring decimal fraction],वर्ग ज्ञात करने में,आंशिक भिन्नों द्वारा समाकलन[integration by using partial fractions].
उदाहरण: --वर्ग निकालने के लिए--(यहाँ केवल 5 से अंत होने वाली संख्याओं की बात की जा रही है)--
25 का वर्ग:यहाँ पूर्व का अंक(संख्या) है 2 .----->2 का एकाधिक है 3.
अब अंतिम हल है 2x3\25------->वर्गफल के दुसरे भाग में हमेशा 25 ही होगा.
इस तरह 25 का वर्ग=625.
35 का वर्ग=3x4\25=1225,
175 का वर्ग=17x18\25=30625,
995 का वर्ग=99x100\25=990025.इत्यादि.
How I wish this kind of videos were around when I was suffering from math...
Im good at calculation (DMAS) but cant do well in exams pls help
Rednitro - Gaming this could probably be due to exam stress and you doubting yourself. I would suggest that practicing more would make you more confident in your abilities.
Wow! I'm inspired! Way to go Art Benjamin!
sir I'm from India you are great sir
I don't know why I find mathematics like a joke it always feel me happy and joyful