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.
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.
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
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.
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
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'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.
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.
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.
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 .
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.
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.
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.
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.
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
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! *****
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.
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.
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.
Thanks sooooo much I never could used to do times but thanks to you i now can as I have SATS coming up and I think I'll get a score thanks so much and that's a new sub to you xx
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.
Excellent video! I've watched several videos about this method, but this is the first time I've been able to understand and actually follow the reasoning. Thank you!
How do you do, for example, 93x68? There would be too many lines - if I wanted to make my own graph paper, I'd think of an easier way. Also, as asked below, how do you do anything with a '0' in it? Can't beat the old way, this only works on simple numbers.
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 :/
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 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
Thanks for watching. The reason for the same numbers.....luck I guess (Ididn't know this was the case!).
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 remember being confused at grade four when they taught us this, now looking back to it, it's actually more simple.
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.
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
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
That's amazing, Oml thank you maths has never been easier
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
im in college and have always struggled with multiplication and this is the greatest thing i have ever learned
Bro I literally got out of bed and grabbed my graph paper for this one, cheers mate!
This is Awesome!!!
If I knew this when I was a kid, it would have changed the way I saw maths back then. Lol. Great demonstration! :-)
I'm bad in math, but a visual learning and this make since to me. I will now continue practice .
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.
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 have dyscalculia and this has helped me to understand multiplication, so I thank you very much for his video.
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
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.
Thanks, think that's one of my favourite, maths tricks of all time.
I'm 40 and just learning this now.... amazing!!
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.
This is awesome! Comes in perfect for my exams.
Thanks for sharing xx
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'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.
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!
Dude you just helped me learn quick math in my head
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!!!!
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.
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 .
Thanks for teaching this new way that I never learned in my school days.
Especially when your partially deaf like me.
Thank you so much I have struggled for the longest to find a trick that I can understand. Very grateful for this 😬😬
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.
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
this is a massive help for my year 9 exam going into year 10 its really important i nail my times tables
thanks
It works and used common sense to adjust to zeros or numbers greater than 8 - very cool
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.
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.
This just blew my mind - thank you!
School should really teach this. This japanese technique is really helpful
Yes - that is a limitation :)
Nailed it.!.!.!. I will share this!!
you do a great job.I also like to times two #:s by 11 in my head faster than a calculator.simplistic yet unique
This is so awesome. Go explain. My boyfriend not that good in math and this help so much.
Thanks
Thank You Sir. This has Just confirmed genius is Real and Ancient.
How about seven ,eight or nine in the equation , could be a bit messy , I'd say !
So relieved I always hated the other way they teach in school one thing learned today :)
What an amazing method! Thanks for making my life easy
I love it thank you! Finaly i can get my head around times tables
FUCK WHY DID I NOT DISCOVER THIS BEFORE MY EXAMS
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.
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
Whoever devised this is built different
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! *****
This man just gave me some Knowledge that I will use to confuse my math teacher
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!!!!!!!!!
I HAVE MY SAT TOMORROW I NEEDED THIS 👊🏿😂😂
Thank you so much tecmath, your videos are GREAT keep posting. THANKS.
Thank you you are better than teachers😁
I am a teacher. But thanks 😁
This method i can actually do in my head.
Thanks i got it, Flawlessly thanks for your exceptional explanation
You explained it clearly,thank you
Super awesome! I'm a person of two things math and complications.
Great ...first time seen this kind of calculation 👌
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.
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.
This is bonkers🤯🤯🤯
This is going to help me so much with my maths. Thanks man this is going to make a huge difference
Your tricks are super awesome.
Our teacher wants us to learn this, this is pretty easy now:)
Really cool Mr. Tecmath, quite an interesting diversion, and refreshing mental exercise.--Thanx
See I have a very very hard time in math now you just made math a bit more interesting
Thanks for showing the maths work
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.
Now my math teacher will be proud!
this is realy good and helpful. pritty easy as well
Awesome video. Excellent presentation!!
To save lines, you can use a thick line to represent a number like 2.
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.
OMFG why wasn't I taught this at school! For "practical" multiplcation solutions this works perfectly.
Omg yesssss finally the long multiplication in long no calculator tests are gonna be easy
OMG!!!! This is phenomenal lol! This makes math that much more fun to do.
Thanks sooooo much I never could used to do times but thanks to you i now can as I have SATS coming up and I think I'll get a score thanks so much and that's a new sub to you xx
Really Really Superb Technique
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.
Excellent video! I've watched several videos about this method, but this is the first time I've been able to understand and actually follow the reasoning. Thank you!
I LOVE this! Thank you for your time!
Brilliant!!! Wish I knew this when I was at school...... :(
How would you do something like 130*19? I'm not sure what to do with the 0.
just mske 13 x 19 and put zero at the end. Same thing if you have 130 x 1900, Make 13 x 19 and put 3 zeroes at the end.
@@ArtemShevchenkokrsk yeah you are good at math
Dude you just saved an American's life.
This will try with my 5th graders who are struggling with place value👍😎
What is the name of the program you used to write in 3 different colours???Please answer!
How do you do, for example, 93x68? There would be too many lines - if I wanted to make my own graph paper, I'd think of an easier way. Also, as asked below, how do you do anything with a '0' in it? Can't beat the old way, this only works on simple numbers.
I feel like people who have trouble with the normal method would use this for simpler numbers and use lattice for more complex numbers.
That is a really cool trick great job
your accent is very relaxing
Theeeeees ones he'a :) King ! Nice video.
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 :/
What do you do when you have numbers like 620 x 103 for example? Numbers with zeroes?
is there a way to do division with this? or similar method? or is it purely for multiplication?