Math Trick - Multiply Using Lines!

[@healthandyou4963]

This man just changed my perception towards maths ,I never knew calulationg could be so interesting.Thanks man!

[@olufred9424]

Your channel has increased my test scores by so much. Thank you very much 😊

[@00gamer2]

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.

[@christiankong5874]

This got patched in the latest update

[@aishao5214]

Wut

[@Lennyst]

...

[@selmanbela6455]

Do you mean this dosent work anymore?

[@liamcabildo]

It was a joke relax..

[@kubakakauko]

hahahah, this made me lough

[@akivaSk]

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

[@neozinicola7391]

I shocked my teacher when I did this on a test

[@lucasplayz2091]

Haha

[@eeeeoree4973]

Well ,that’s amazing

[@cedricdorian2173]

instablaster...

[@arvahello7171]

I'm planning on doing this for my gcse bc i cant do long multiplication

[@pigletandeeyore.1199]

Same

[@tecmath]

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.

[@LuminSSS]

@@sumatiranjan126 this is op. wtf r u talking about?

[@tecmath]

Thanks for watching. The reason for the same numbers.....luck I guess (Ididn't know this was the case!).

[@willymcbilly635]

FUCK WHY DID I NOT DISCOVER THIS BEFORE MY EXAMS

[@nunu-zo6vz]

I remember being confused at grade four when they taught us this, now looking back to it, it's actually more simple.

[@crazypuppypoker]

im in college and have always struggled with multiplication and this is the greatest thing i have ever learned

[@CaddraLophat]

That's amazing, Oml thank you maths has never been easier

[@cynceresin9791]

I'm bad in math, but a visual learning and this make since to me. I will now continue practice .

[@ookalar665]

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

[@calderdash9975]

Thanks, think that's one of my favourite, maths tricks of all time.

[@ElizesFavorites]

This is awesome! Comes in perfect for my exams. Thanks for sharing xx

[@theempath8244]

I have dyscalculia and this has helped me to understand multiplication, so I thank you very much for his video.

[@Xeidasx]

thank you for showing this to me!!!! i wish they had taught us this in school...

[@thuglover87]

Same here stupid teaching methods were given to us

[@Dr4g0nW00d]

they never learn u something useful in school

[@MrMattbarbs]

Grammer might be nice.

[@EETechs]

Matt Barbour duuur, thirr nevers learns mes this stuf'SSS. I fur sur dum'.

[@rajangamkannan9281]

Xeid

[@chtitmog]

If I knew this when I was a kid, it would have changed the way I saw maths back then. Lol. Great demonstration! :-)

[@seesharp53]

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.

[@Olnx]

agreed

[@Alkis05]

High digits alway a problem. Maybe work with complements: 100 x 60 - 97 x 2 - 3 x 60

[@Alkis05]

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.

[@nigelmoscrop9987]

How about seven ,eight or nine in the equation , could be a bit messy , I'd say !

[@rellyfranc9836]

Thank you so much I have struggled for the longest to find a trick that I can understand. Very grateful for this 😬😬

[@janetheostrich]

This just blew my mind - thank you!

[@sbalogh53]

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.

[@edwarddanial2584]

you do a great job.I also like to times two #:s by 11 in my head faster than a calculator.simplistic yet unique

[@TheDoggirl3]

Thanks for teaching this new way that I never learned in my school days.

[@TheDoggirl3]

Especially when your partially deaf like me.

[@jeffkukkee]

I'm 40 and just learning this now.... amazing!!

[@Snagglefratz]

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.

[@named161]

Bro I literally got out of bed and grabbed my graph paper for this one, cheers mate! This is Awesome!!!

[@BlindManBert]

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.

[@Shadownes]

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]

?

[@eeeeoree4973]

@@itachiuchiha7842 what are you tryna know bro this comment was 7yo ago mybe before your birth 😂😂😂😅

[@mamuhanzo6791]

what about if any number has a zero ? for example 101x12 or 304x203

[@user-zb8br6nw3e]

do you find out

[@tacorevenge87]

Use the vigesimal system mate, that is why the mayas invented it, to deal with the zero, also invented by the mayas.

[@mamuhanzo6791]

Arturo Manaia ty bro

[@SirKingHoff]

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.

[@moeinmk5262]

SirKingHoff

[@mquirk00]

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.

[@mmedeuxchevaux]

it's still amazing.

[@BabyTweetyPie13]

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!

[@lavendergaming7830]

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!!!!

[@keatoncallaghan3101]

this is a massive help for my year 9 exam going into year 10 its really important i nail my times tables thanks

[@tyleraustinpanton8290]

Thank you so much tecmath, your videos are GREAT keep posting. THANKS.

[@suspicious_coconut_water]

Dude you just helped me learn quick math in my head

[@Rawrasur]

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

[@tecmath]

Glad to have helped.

[@BlindManBert]

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.

[@theicedevil]

This method i can actually do in my head.

[@Examinx]

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.

[@mrsricerocket5871]

I love it thank you! Finaly i can get my head around times tables

[@petrusvenasiu3630]

What an amazing method! Thanks for making my life easy

[@DannnnnyW]

Hey thanks for the well instructive informative video. I was firs introduced to this method on KZbin 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! *****

[@MONKEYBALLZism]

So relieved I always hated the other way they teach in school one thing learned today :)

[@justcheryl5568]

It works and used common sense to adjust to zeros or numbers greater than 8 - very cool

[@debadeepdatta]

Your tricks are super awesome.

[@captainbueno]

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.

[@fadelali330]

You explained it clearly,thank you

[@Xake64]

This is going to help me so much with my maths. Thanks man this is going to make a huge difference

[@VishantR22]

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

[@genji2645]

Nailed it.!.!.!. I will share this!!

[@irfangamerhd3394]

Thanks for showing the maths work

[@aeroga4717]

Thanks i got it, Flawlessly thanks for your exceptional explanation

[@dannymcphee]

Really cool Mr. Tecmath, quite an interesting diversion, and refreshing mental exercise.--Thanx

[@ethitlan]

Whoever devised this is built different

[@gesunheit]

Super awesome! I'm a person of two things math and complications.

[@Lace_Loves_Icecream]

This man just gave me some Knowledge that I will use to confuse my math teacher

[@detroitmade_jts]

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

[@stus2159]

You were thinking about teaching people this method?? Are you dense? No wonder our education system is fucked.

[@firstnamelastname3743]

School should really teach this. This japanese technique is really helpful

[@guitarlessonsformortalssan8619]

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.

[@Coolblueocean2001]

Awesome video. Excellent presentation!!

[@vaishnavic6632]

Great ...first time seen this kind of calculation 👌

[@maryj9684]

I HAVE MY SAT TOMORROW I NEEDED THIS 👊🏿😂😂

[@meshugunner]

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.

[@jessicamoneaevans1171]

This is so awesome. Go explain. My boyfriend not that good in math and this help so much.

[@tecmath]

Thanks

[@honkhonk8009]

your accent is very relaxing

[@gamenut112]

wow...that makes multiplication like 30x easier (pun intended but also not intended) i think ill use this way of multiplication now...

[@tecmath]

Yes - that is a limitation :)

[@ProjSHiNKiROU]

To save lines, you can use a thick line to represent a number like 2.

[@TEE78SR]

I like this method, but lost me if there was 0 included I need to see how this works as well on the board???

[@rileyk5228]

Try coloring it a diff color and then not counting those intersections. Or pretend to draw the line and skip to the next spot

[@sandrabowen8956]

@@rileyk5228 thats a great idea lol

[@nickname3114]

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 🥄

[@nickname3114]

doing higher number is a pain try 6789 19x9, 99x99 is there a trick around this problem to many lines

[@x7teee]

Dean Edwards 99 X 100 - 99 lmao

[@christinasanchez6692]

That is a really cool trick great job

[@luisj.torres8178]

Now my math teacher will be proud!

[@kyellmasarate9654]

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.

[@matejbanik2505]

Thank you you are better than teachers😁

[@tecmath]

I am a teacher. But thanks 😁

[@bobbybang3421]

See I have a very very hard time in math now you just made math a bit more interesting

[@laxmimehta4246]

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!!!!!!!!!

[@ZakarooNetwork]

Thank You Sir. This has Just confirmed genius is Real and Ancient.

[@frinduangelo4375]

this is realy good and helpful. pritty easy as well

[@TD-jw4eu]

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

[@HUGO-sr4rc]

Voila*

[@HanneleKormano]

An interesting way to visualize multiplication - it looks like magic, but it is no different conceptually from working it out the long way.

[@josephandthegang9433]

When my teacher put this on my test I got it wrong LOL

[@winlalitha]

Really Really Superb Technique

[@andrewbell466]

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

[@Mountain_Terror]

You explained it very well, thank you

[@surortaal]

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 .

[@PriscillaFarmer1]

I LOVE this! Thank you for your time!

[@SteveFrenCH1889]

This is bonkers🤯🤯🤯

[@QuinchGaming]

OMFG why wasn't I taught this at school! For "practical" multiplcation solutions this works perfectly.

[@LuxTale]

I tried that with a 110 and 200. Easy enough. You don't put them. You put the numbers above zero in it's respective place, and then you count the zeroes there are between the two numbers. In this case, the answer with the other numbers would be 22, and there are three zeroes between 110 and 200. The answer is 22000.

[@lifehackdenn7241]

Thank you so much! i am from poland!

[@Shad0wDarkNess]

Absolutely fantastic!

[@Theveryevilturtle]

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 :/

[@JaredEmberton]

So going to use this next time I have to multiply big numbers

[@mitchb6068]

Our teacher wants us to learn this, this is pretty easy now:)

[@fwblxck]

so cool am gonna master this now

[@billhart3814]

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.

[@apolinarcisneros2784]

That's nice.....thank you for sharing it. You have a great day.

[@joanne3747]

This video is so help full