Math Trick - Multiply Using Lines!
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- Опубликовано: 8 сен 2024
- This amazing multiplication trick possible has it's origins in Japan -although I have heard arguements it is a Vedic math trick.
Either way - this trick allows you to multiply two numbers quickly and accurately, using a handy visual method - lines.
This method does not use any multiplication tables, making it accessible to all learners.
Part 2 of this video (how to multiply using lines with fives and zeros) is here:
• Math Trick - multiply ...
Arithmetic made simple!
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This man just changed my perception towards maths ,I never knew calulationg could be so interesting.Thanks man!
Your channel has increased my test scores by so much. Thank you very much 😊
I remember being confused at grade four when they taught us this, now looking back to it, it's actually more simple.
thank you for showing this to me!!!! i wish they had taught us this in school...
Same here stupid teaching methods were given to us
they never learn u something useful in school
Grammer might be nice.
Matt Barbour duuur, thirr nevers learns mes this stuf'SSS. I fur sur dum'.
Xeid
If I knew this when I was a kid, it would have changed the way I saw maths back then. Lol. Great demonstration! :-)
Correct! It would end up a messy quagmire to work out 8945 x 9854, and for these sorts of cases it is not the quickest method.
I'd use the vedic math techniques to do those types of calculations.
@@sumatiranjan126 this is op. wtf r u talking about?
I prefer doing it at a table. f.e 212*13:
2 1 2
* - - -
1 | 2 1 2
3 | 6 3 6
(Diagonal from the top right corner to the bottom left corner of the result)
answer: (2)_(1+6)_(2+3)_(6) = 2756
This is especially better for large numbers
I shocked my teacher when I did this on a test
Haha
Well ,that’s amazing
instablaster...
I'm planning on doing this for my gcse bc i cant do long multiplication
Same
This got patched in the latest update
Wut
...
Do you mean this dosent work anymore?
It was a joke relax..
hahahah, this made me lough
This is basicly a visualization of the foil method you would use in expanding brackets, and extending that to two numbers i.e. 14 * 12 would be (10 + 4)(10+2) = 100 + 20 + 40 + 8 = 168. Expressing this in a algebraic form is probably more space efficient. Great video, btw.
That's amazing, Oml thank you maths has never been easier
Thanks for watching. The reason for the same numbers.....luck I guess (Ididn't know this was the case!).
These get real ridiculous with anything higher. Its meant for smaller multiplication. Doing something like 7895 x 68 can take a whole sheet of paper, and that's a relatively small multiplication problem. The ones demonstrated here are pretty much the ceiling for being a practical method. Even something like 689 x 42 can get pretty out of control on a piece of paper.
it's still amazing.
I'm bad in math, but a visual learning and this make since to me. I will now continue practice .
OIH :O I've been shitty at math all my life, this is really the best way to calculate. Thanks mate for uploading :D
?
@@itachiuchiha7842 what are you tryna know bro this comment was 7yo ago mybe before your birth 😂😂😂😅
I've seen this method described elsewhere many times - the examples shown always use low value digits, always. It's when you try something like 97 x 58 that you realise how tedious it gets.
agreed
High digits alway a problem. Maybe work with complements:
100 x 60 - 97 x 2 - 3 x 60
Or use a different line (eg. dashed line) to represent a line with value 5 instead of 1. That cuts down the max number of lines per digit from 10 to 5.
im in college and have always struggled with multiplication and this is the greatest thing i have ever learned
I LIKE TO USE LINE BUT I NEVER USE SOME BUT NOW AM LEARNING THANK YOU SO MUCH FOR LETTING ME KNOW TO USE LINE!!!!
I just tried it with 427x126 and got the correct answer of 53802. I find the hardest part is lining up the groups correctly, but practice would probably solve that issue.
How about seven ,eight or nine in the equation , could be a bit messy , I'd say !
This is awesome! Comes in perfect for my exams.
Thanks for sharing xx
what about if any number has a zero ? for example 101x12 or 304x203
do you find out
Use the vigesimal system mate, that is why the mayas invented it, to deal with the zero, also invented by the mayas.
Arturo Manaia
ty bro
whenever you encounter a 0 just leave a space where the line would be drawn if the unit was say 1 instead of 0, then draw a circle and use that. but instead of adding the intersections like you normally would just make that group (thousands, hundreds etc) 0.
SirKingHoff
you do a great job.I also like to times two #:s by 11 in my head faster than a calculator.simplistic yet unique
FUCK WHY DID I NOT DISCOVER THIS BEFORE MY EXAMS
This is a great math trick. I'm going to be writing my ged test in Canada in a couple weeks and this will really help me! Thanks
This is interesting, and it is worthwhile to look at it for a bit and understand why it works, but on average you will get the answer more quickly with numeric "long" multiplication.
Bro I literally got out of bed and grabbed my graph paper for this one, cheers mate!
This is Awesome!!!
Thanks, think that's one of my favourite, maths tricks of all time.
I have dyscalculia and this has helped me to understand multiplication, so I thank you very much for his video.
I'm 40 and just learning this now.... amazing!!
Thanks for teaching this new way that I never learned in my school days.
Especially when your partially deaf like me.
I'm an old dude and I got this right away. It's really cool. It's a shame they didn't teach this when I was in school.
Answer: the intiial examples are typically quite simple and don’t involve both large numbers of crossings (like 19 x 81) or large number of carries in the addition phase. This is one of the limitations of this “graphics crossings” approach, I would say.
I love it thank you! Finaly i can get my head around times tables
Thank you.... I tried so hard to figure out the other videos, but with your video it clicked instantly....being a 2014 graduate of High School I wish they'd taught this to those in my class who had a hard time with math.....but thank you once again for sharing some of your knowledge
You were thinking about teaching people this method?? Are you dense? No wonder our education system is fucked.
It works and used common sense to adjust to zeros or numbers greater than 8 - very cool
This is so awesome. Go explain. My boyfriend not that good in math and this help so much.
Thanks
Dude you just helped me learn quick math in my head
I HAVE MY SAT TOMORROW I NEEDED THIS 👊🏿😂😂
This is just another form of rewriting the numbers into a sum and multiplying them. For example, the 212*13 can be rewritten as (2*100+1*10+2)*(1*10+3).
You get 2*1000+(6+1)*100+(2+3)*10+6=2756.
It's probably quicker to think of how to expand the number, multiply, and add before you do it, since doing something like 212*(10+3) is quicker (2120+636=2756) than expanding everything.
If you have 9's, you can do subtraction instead. 25*19=25*(20-1)=500-25=475.
This is amazing! Thanks so much! It's way better doing this method than having to remember the tables c: Really helped with my maths!
This just blew my mind - thank you!
Thank you so much I have struggled for the longest to find a trick that I can understand. Very grateful for this 😬😬
This method i can actually do in my head.
Omg thank u i have been failling my math classes for the past 3 years 😭😭😭😭 but now i finally understand cuz i found the method that works best for me
Glad to have helped.
this is a massive help for my year 9 exam going into year 10 its really important i nail my times tables
thanks
Thanks i got it, Flawlessly thanks for your exceptional explanation
Very nicely described and nice looking!! I posted a similar discussion in my “Math Rules” channel. Several folks commented out that this technique is not truly Japanese. In fact, it was apparently used to teach kids how to use an abacus perhaps up until thirty years ago, but since then it’s been dropped from the curriculum. So Japanese students today would never be taught this approach. I don’t refer to it as “Japanese” as much as the “graphics crossing” approach for lack of a better name.
AS i am a 10 year old i feel a bit confused at first but then when i watched the video i felt as it this rocked this world!!!!!!!!!
You explained it clearly,thank you
This is in fact a method taught to a school girl in China. She taught it to a guy called Akahad who made a video showing the technique and uploaded it to MetaCafe on Nov 16th 2006. The method only works easily for numbers with small digits, for which the original poster was criticised. However he claimed it was not intended to be an actually efficient method, but only "meant to be a little trick to show to friends and kids who hate maths". Either way, the video was so popular it made $2000 in 4 days. It is said that the school teacher who introduced it did so to get kids interested in maths. The criss-cross pattern was used because it reminded the school children of the stools they sat on. It is absolutely not the Vedic method, definitely not Mayan and quite probably not Japanese. It does not appear to be a traditional Chinese method.
So relieved I always hated the other way they teach in school one thing learned today :)
Thanks for showing the maths work
Super awesome! I'm a person of two things math and complications.
This man just gave me some Knowledge that I will use to confuse my math teacher
Thank you you are better than teachers😁
I am a teacher. But thanks 😁
The more ways you have to look at a problem the better, so I'm going to say cool method for building a mental picture.
Great ...first time seen this kind of calculation 👌
What an amazing method! Thanks for making my life easy
Try it with 97*76 and compare that with the numeral method. Then do likewise with FD*CE in hex vs doing it numeral by numeral. This is only a nicer method for numbers like 13 and 14 where the individual digits are small.
Yes - that is a limitation :)
School should really teach this. This japanese technique is really helpful
To save lines, you can use a thick line to represent a number like 2.
Nailed it.!.!.!. I will share this!!
13x14=
1x1=1
3+4=7
3x4=12
Carry the 1 from the 12 to make the 7 into a 8
7+1=8
12-10=2
13x14=182
Viola
Voila*
Brilliant!!! Wish I knew this when I was at school...... :(
I like this method, but lost me if there was 0 included I need to see how this works as well on the board???
Try coloring it a diff color and then not counting those intersections. Or pretend to draw the line and skip to the next spot
@@rileyk5228 thats a great idea lol
Isnt to hard there is no spoon/zero so don't draw a line and put a 0 where a line isnt try 10x12
One line on the right no lines just a spoon on the left U end up with 012 now you can't have a spoon on the left so swap it to the right that's it 12spoon 😁
The Matrix there is no 🥄
doing higher number is a pain try 6789 19x9, 99x99 is there a trick around this problem to many lines
Dean Edwards 99 X 100 - 99 lmao
i must have missed some of your previous videos because i cant find to have a solution for 10 *10 and for numbers smaller than 10 for multiplication, according to this method. can you please help me out on that . i really enjoyed this method of multiplication and do you the same method for addition too.thanks .
When my teacher put this on my test I got it wrong LOL
for multiplication by 9, 99, or 999 etc..
Eg: 999 * 99
Step 1: Add two zeros(for two 9's) to 999 = 99900
Step 2: Subtract 999 from 99900 = 98901
Step 3 : Congrats, done in two steps :D
this is realy good and helpful. pritty easy as well
Honestly I dreamed about this after my birthday. Before I saw this I have proof that I made this type of multiplying numbers by myself.
The dream was so realistic. It really taught me how to do this. After that dream and I woke up I was so nervous try this. But I really tried what I had seen in my dream, and it was true!
Please, can anyone tell me who invented this because it was just an invention of my dream.
Just by thinking of the method I came up with a way. Draw a single dashed line whenever a zero appears and just do not count any intersections with the dashed line when you add it up. You could just not draw the dashed line, but I would draw it as a place holder so that you don't mess up when circling the different sections.
An interesting way to visualize multiplication - it looks like magic, but it is no different conceptually from working it out the long way.
Excellent. Not nearly as fast as using reference numbers or direct multiplication but it's very graphic and clear. It doesn't involve some seemingly magical formula like the Vedic methods. IMO it would be even more striking if the lines for the 10s & 1s were in contrasting colors. I think I will use this to teach my young grandson. Thanks.
your accent is very relaxing
If the number is big like 49*85
Even drawing took so long and the lines are confusing.
However it works for 1 or 2 digids in value places
Thanks
Really Really Superb Technique
This is going to help me so much with my maths. Thanks man this is going to make a huge difference
So helpful thanks! Since I don't know my times tables (I'm really bad at math) this has really helped! Except my math teacher got mad at me when we did a test the other day and I used a method that he didn't know :/
Thank You Sir. This has Just confirmed genius is Real and Ancient.
I worked out the sums in my head before he even finished drawing the lines.
14x12 = (10x12) + (4x12) is much faster to do in your head.
133×177
I was thinking 12x12=144+12=156
@@lynagranger7486 Please try that with lines, we would be done way before with any other method anyway xD
yeah but thoughs are just examples bro soooooo whats 69*420 than in your head
@@theodoreroosevelt1858 It's 28'980, why? (yes i did that in my head, there are tricks for this too..) BROOOO...
OMFG why wasn't I taught this at school! For "practical" multiplcation solutions this works perfectly.
Your tricks are super awesome.
It is a very good idea, and interesting to use but then think about those, such as those who have dyslexia, who find it hard to look at lines/letters close together - this would make large multiplications impossible. It also doesn't really give much credence to the actual maths behind it/ It's all well and good giving people nifty tricks but then if they need to understand WHY at some point they will come unstuck by continually using these little tricks.
Hey thanks for the well instructive informative video. I was firs introduced to this method on RUclips an many of the videos kind of confused me in one way or another. But not your video! It was well executed and I now know this method when combatting multiplication with no fuss thanks to you! *****
What about digits greater than 5? 88 times 77
It still works.. 6776 no calculator here.. 56 carry the 5, 117, carry the 11, and 56+11 = 6776
OMG Thanks a lot that will be a very good thing for me to do in school
Omg yesssss finally the long multiplication in long no calculator tests are gonna be easy
I'm quite bad at math, but the conventional way seems way faster to me. I don't get much what gain is there. Maybe if one's really good at visualization one could imagine those lines and add them up just mentally, but I'd be even worse at that than at trying to do the same math by head conventionally. Thanks though, not complaining, I just don't see much the point. Maybe before you have basic times tables known "by heart." For that I knew/know a trick that uses both hands, going only from 6 to 10 though. Basically both hands with all fingers closed in a fist wouls be 10*10; for 9*10 you lift a finger in one hand, for 8*7 you lift a two fingers in one and three in another. Then you multiply the lift fingers for the unit, and add up the closed fingers as tens, and add both results. Maybe one can extend that by imagining to have more fingers or that the toes are doing the same, I haven't tried.
Thank you so much tecmath, your videos are GREAT keep posting. THANKS.
You explained it very well, thank you
so cool am gonna master this now
Great written method going to use that in my exam but difficult to work out in your head lol :)
Really cool Mr. Tecmath, quite an interesting diversion, and refreshing mental exercise.--Thanx
This is pretty cool, nothing I'd ever use, but very cool :)
Numbers are hard to come by in Australia. They have to be imported from India and there's a heavy import duty which makes them rare and expensive. Just be grateful for what you have
This is a great quick way to solve equations! Wonder why we don't do this in England
Our teacher wants us to learn this, this is pretty easy now:)
OMG!!!! This is phenomenal lol! This makes math that much more fun to do.