Multiply Faster than You Learned in School!

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  • เผยแพร่เมื่อ 13 ก.ย. 2024
  • These two ways of multiplying are much easier and faster than any way you ever learnt in school! What's more they are easy to remember - easier than the usual method!
    But what do you think?
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ความคิดเห็น • 222

  • @242math
    @242math 2 ปีที่แล้ว +61

    excellent multiplication techniques, students can certainly make use of these

  • @TSM09179
    @TSM09179 2 ปีที่แล้ว +12

    I was taught the cross multiplication strategy a few years ago in 5th or 6th grade, but I’ve never heard of the rainbow strategy. Coming from a student, I like using the cross-multiplication when I’m taking a test or doing homework since it helps me multiply quickly, but I feel like if I get enough practice, I’ll be able to memorize the rainbow strategy and do large multiplication quickly in my head! Thank you so much for teaching me!

    • @wyattstevens8574
      @wyattstevens8574 ปีที่แล้ว

      They're effectively the same. Rainbow multiplication is just writing it in a single line.

  • @vijayrawat09
    @vijayrawat09 2 ปีที่แล้ว +4

    your videos never stop to astonish me.

    • @tecmath
      @tecmath  2 ปีที่แล้ว +1

      Thanks Vijay.

  • @fxeditor1138
    @fxeditor1138 5 หลายเดือนก่อน +1

    Fantastic method! I'm really looking forward to the rest of the series.

  • @AmbroseChan
    @AmbroseChan 2 ปีที่แล้ว +6

    cross multiplication is my favourite method! Excellent video! Thank you for making math easier!

    • @tecmath
      @tecmath  2 ปีที่แล้ว +1

      Thanks. Go the cross method.

  • @momogoes3329
    @momogoes3329 2 ปีที่แล้ว +3

    Thank you always looking for fast math videos for competition.

  • @stonkeng
    @stonkeng 2 ปีที่แล้ว +7

    I was taught cross multiplication in school in the 1950s, seems normal to me. Love your channel keep them coming, thanks.

    • @FatenElAli24
      @FatenElAli24 2 ปีที่แล้ว

      Wow you are in your 70's :o

    • @stonkeng
      @stonkeng 2 ปีที่แล้ว

      @@FatenElAli24 not quite.

    • @tecmath
      @tecmath  2 ปีที่แล้ว

      That is cool! Where was that?

    • @stonkeng
      @stonkeng 2 ปีที่แล้ว

      @@tecmath Falmouth in Cornwall UK. It would have been the late 1950s. We were lucky we had a brilliant Maths teacher who made it a lot of fun. I still enjoy mental arithmetic, the reason I follow your channel on TH-cam.

    • @FatenElAli24
      @FatenElAli24 2 ปีที่แล้ว

      @@stonkeng how old are you?

  • @customthings3368
    @customthings3368 2 ปีที่แล้ว +1

    Definitely the cross multiplication Sir! Why on earth would they've not shown this way in school. Even keeps the interest cos of the simplicity! Great job as always 👏

  • @cassandrarose11
    @cassandrarose11 2 ปีที่แล้ว +11

    I'm sure you get told this a lot, but you're genius in your teaching methods. Thank you immensely. Learn something new every day. 😅

    • @tecmath
      @tecmath  2 ปีที่แล้ว

      Thank you Cassandra.

  • @Him.TheOneAndOnly
    @Him.TheOneAndOnly 2 ปีที่แล้ว +24

    Both these are pretty much the same method, one is horizontal and the other vertical, but I think the cross multiplication version is easier to keep track of.

    • @tecmath
      @tecmath  2 ปีที่แล้ว +4

      Yep. You could see as the numbers were coming out the similarity!

    • @Him.TheOneAndOnly
      @Him.TheOneAndOnly 2 ปีที่แล้ว

      @@tecmath I love your channel, you have helped me understand numbers in general way better, thank you.

    • @nirajpatel191
      @nirajpatel191 2 ปีที่แล้ว +1

      I agree with you

  • @mr.niceguy1706
    @mr.niceguy1706 2 ปีที่แล้ว

    The way you have such a calming voice is really enjoyable to watch your videos and easier to learn with your tricks.

    • @tecmath
      @tecmath  2 ปีที่แล้ว +1

      Thanks. I save my yelling during lessons for real life! (jokes... I never yell!).

  • @DiowE
    @DiowE 2 ปีที่แล้ว +12

    I prefer cross method of multiplication shown in the video because it solves problem from right to left and this prevents minute errors (like forgetting to add carrying number) and it also saves us from hassle of erasing and rewriting new answers (like you had to do in rainbow method). [DiowE]

    • @tecmath
      @tecmath  2 ปีที่แล้ว +2

      You could do rainbow right to left.

    • @tonybarfridge4369
      @tonybarfridge4369 2 ปีที่แล้ว

      Cross multiplying can also be done left to right which I prefer

    • @djlazer1
      @djlazer1 2 ปีที่แล้ว

      They are basically the same method just written different. That means you can do the rainbow method backwards.

  • @kimsassenberg9444
    @kimsassenberg9444 2 ปีที่แล้ว +1

    Why was I never taught this method? I am actually enjoying learning this math. Thank you.

  • @eviljack13666
    @eviljack13666 2 ปีที่แล้ว +1

    Rainbow has the back tracking, messy, cross is clean as hell.

    • @tecmath
      @tecmath  2 ปีที่แล้ว +1

      I like cross so much more!

  • @koolkabab
    @koolkabab 8 หลายเดือนก่อน +1

    this changed my life

  • @Psalm_23
    @Psalm_23 2 ปีที่แล้ว +3

    Can you make videos on calculus such as limits and differentiation and integration please

  • @doolzo7362
    @doolzo7362 2 ปีที่แล้ว

    i prefer the cross multiplication, i really really enjoyed the video thank you!!!

  • @mohammedatteeqanwaraneducation
    @mohammedatteeqanwaraneducation 2 ปีที่แล้ว +1

    Excellent upload 👌 👍 Thank you for sharing 😋 👌 😊 😀 👍

  • @latharavigopal8773
    @latharavigopal8773 2 ปีที่แล้ว

    Excellent. Hope children can understand

  • @nathanc11
    @nathanc11 2 ปีที่แล้ว +6

    You such a great teacher. Thank you for the videos. Keep them up!

    • @tecmath
      @tecmath  2 ปีที่แล้ว

      Thanks!

  • @terriblechristiangamer9128
    @terriblechristiangamer9128 ปีที่แล้ว

    Thanks for the vid. I might be an outlier but the rainbow method works for me.

  • @kr__gaurav
    @kr__gaurav 2 ปีที่แล้ว

    i like the cross multiplication. we can do 3, 4 or as many nos. as much we want, quickly! and one more thing, ur channel is really amazing!👌🏻

  • @عليكاظمالطرشان
    @عليكاظمالطرشان 2 ปีที่แล้ว +1

    Thank you

  • @richardbyrd7047
    @richardbyrd7047 2 ปีที่แล้ว +1

    I like the cross multiply method best.

  • @cityofgarlic4088
    @cityofgarlic4088 2 ปีที่แล้ว +5

    Hello Josh, can you do a video on linear equations with integral coefficients please

  • @Gkuljian
    @Gkuljian 2 ปีที่แล้ว

    I don't know which I prefer, but I've been waiting a long time for this. Now I have to practice it for a while. Thanks!

  • @DatBoi141
    @DatBoi141 2 ปีที่แล้ว +1

    Cross multiplication cuz it's easier and thank you for these videos

  • @terrylane1492
    @terrylane1492 ปีที่แล้ว

    In reality, they are both the same methods just expressed in different ways. Well done thank you!

  • @leonpatrick5606
    @leonpatrick5606 2 ปีที่แล้ว

    I was taught the cross multiplication. Awesome explanation

  • @secret3957
    @secret3957 2 ปีที่แล้ว +2

    first multiplication, method 2 is how we learned it in school in the Netherlands. So what is the "standard way" of multiplication for you? 10x31 + 2x31?

  • @julians7697
    @julians7697 2 ปีที่แล้ว

    I agree with the comment of Faith. Careful home training free from useless waste and a school system that has math teachers like Josh.

  • @eviljack13666
    @eviljack13666 2 ปีที่แล้ว +1

    The cross method totally!

  • @mesplin3
    @mesplin3 2 ปีที่แล้ว +2

    I prefer the rainbow method. I feel it's better when you need to approximate products quickly.
    Rainbow method isnt how I do it my head though. I like using the grid method more when multiplying because it extends to 3 digit numbers easier.

  • @ericj199
    @ericj199 2 ปีที่แล้ว

    Woah! I really liked the rainbow method

  • @redravenradios5036
    @redravenradios5036 2 ปีที่แล้ว +1

    Hello sir,
    Thanks for all you do!
    I was wondering if you could do a act math prep video?
    It would help so much

  • @arteagaboyzzz
    @arteagaboyzzz 10 หลายเดือนก่อน

    I multiply place values sideways. Ex. 12x31(12×30 or 12x3=36and bring your 0 back in. Then 12x1=12. Add 360 and 12= 372
    For 43x52 (43×50 and 43x2. Add answers = 2150+ 86= 2236

  • @jonhellerup9550
    @jonhellerup9550 2 ปีที่แล้ว

    Cross is definitely my favorite

  • @johnryder1713
    @johnryder1713 2 ปีที่แล้ว

    Happy Christmas Josh and my condolences to you and all teachers in your country on the poor children in Tasmania at such a hard time for this to happen

    • @tecmath
      @tecmath  2 ปีที่แล้ว

      Thank you and Merry Christmas to you.
      What happened in Davenport is heartbreaking. Those parents, teachers and classmates must be devastated.

    • @johnryder1713
      @johnryder1713 2 ปีที่แล้ว

      @@tecmath Certainly and Amen Josh

  • @UKMikey
    @UKMikey 2 ปีที่แล้ว +4

    How about doing the three stages (100s, outside 10s, inside 10s, 1s) as four different rows and sticking an appropriate number of zeroes at the end? Then you can add up the four rows and won't have to rub anything out.
    Doing all the multiplication tasks first and then adding everything at the end also means you don't have to swap tasks hopefully leading to a slightly faster result. What do you think?

    • @tecmath
      @tecmath  2 ปีที่แล้ว

      That is how I would think about it mentally.
      I find cross multiplication stops all the need for that.

  • @blessed7927
    @blessed7927 6 หลายเดือนก่อน

    I prefer the regular way because I get lost in the steps. But I do like the percents to numbers switch in your other video

  • @dorischoo
    @dorischoo 2 ปีที่แล้ว +2

    For mental, rainbow flows better, but needs more memories to hold numbers in the head is a struggle.

  • @SpaceWithSam
    @SpaceWithSam 2 ปีที่แล้ว +1

    Great method Josh!

  • @richardbyrd7047
    @richardbyrd7047 ปีที่แล้ว

    I like the cross method too.

  • @kazuamoua
    @kazuamoua 2 ปีที่แล้ว

    I love the Rainbow one

  • @Davo4920
    @Davo4920 2 ปีที่แล้ว

    From what I can see both processes are using the technique (vertical and horizontal). The horizontal one at first seems messier because you have to erase/rework where there are carries in other parts of the calculation. But if you calculate from right to left as you do for the vertical ones, then less mess and essentially doing the same thing.

  • @pastorrich7436
    @pastorrich7436 2 ปีที่แล้ว +1

    I like the second method as it’s basically what I learned in school but with a nice twist.

    • @tecmath
      @tecmath  2 ปีที่แล้ว

      It can be extended also easily for any multiplication... th-cam.com/video/LgJ5bNHBbD4/w-d-xo.html

  • @bezaleltinokunda8805
    @bezaleltinokunda8805 2 ปีที่แล้ว

    Thank you so much..

  • @agilthoriq2461
    @agilthoriq2461 2 ปีที่แล้ว

    Thanks for vids , how about making a videos about roadmaps for learning mathematics ?

  • @poeticprincee9750
    @poeticprincee9750 2 ปีที่แล้ว +1

    I cannot believe I just learned this! I prefer the cross multiply method!!

    • @tecmath
      @tecmath  2 ปีที่แล้ว

      Good to hear! I agree!

  • @MathsByManeesh
    @MathsByManeesh 2 ปีที่แล้ว

    Amazing Tricks

  • @comelysleeper646
    @comelysleeper646 2 ปีที่แล้ว

    I like the cross method my teacher didn't liked it when I tried using a calculator on a very simple equation so I'm starting to learn stuff the first time again

  • @GlennGoryl
    @GlennGoryl 2 ปีที่แล้ว

    Excellent. Thank you.

  • @gm2407
    @gm2407 2 ปีที่แล้ว +1

    I prefer the way I did it.
    I multiplied the tens in the first number by the entire second number.
    Then I multiplied the units in the first number by the entire second number.
    Then added them together.
    43×52=
    40×52= 2,080
    3x52=156
    2080+156=2,236
    For me it was easier to see as it is easy to multiply a two digit number by any of n2-n9 and add a 0 at the end. Then just multiply the remaining units with the other two digit number.
    Perhaps I am just more practiced.
    tens by tens
    plus
    tens by units
    plus
    units by tens
    plus
    units by units
    Left to right rather than backwards that they teach in school. But it is all the same thing.
    I just cut out the middle by doing
    tens by whole number
    plus
    units by whole number
    example
    64 x 83=
    60×83=4,980
    4×83=332
    4,980+332=5312
    I just thought about it. This is how the operations would be complete to multiply using the mechanical Curta calculator. Or at least one of the methods.

  • @mcstruble
    @mcstruble 2 ปีที่แล้ว

    wonderful, thank you! I like the cross method best :)

  • @aletaschulz1108
    @aletaschulz1108 2 ปีที่แล้ว

    I like the cross method.

  • @sandralemmerman4748
    @sandralemmerman4748 2 ปีที่แล้ว

    Thank you thank you

  • @junivanofdragonia
    @junivanofdragonia 2 ปีที่แล้ว

    2:45 I personally like both. Depending on how it is written on the paper, just so I don’t have to rewrite the problem.

  • @marcusscott9800
    @marcusscott9800 2 ปีที่แล้ว

    I prefer the cross multiplication method. Great video, keep up the great work!

    • @tecmath
      @tecmath  2 ปีที่แล้ว +1

      Thanks. Another vote for cross!

  • @flec6021
    @flec6021 2 ปีที่แล้ว

    You're giving me knowledge, sadly i can't support financially and all I can do is like, subscribe and share your vid on my friends. Thank you so much.
    Keep on doing more. Love from Philippines

    • @tecmath
      @tecmath  2 ปีที่แล้ว +1

      Thank you for your kind words.

    • @flec6021
      @flec6021 2 ปีที่แล้ว

      God bless you good sir.

  • @MsTinglez
    @MsTinglez 2 ปีที่แล้ว

    I definitely prefer the cross method but it's great to have more than one option. 👍

  • @arnoldmweyola5700
    @arnoldmweyola5700 2 ปีที่แล้ว +1

    on 0:45 how do you know how many spaces to put down after multiplying the numbers in the front?

  • @wickedbird1538
    @wickedbird1538 2 ปีที่แล้ว

    Really like this.. now I need to analyze this to see WHY it works. But that’s just because I want to maintain my NERD status. PS. I prefer cross method.

    • @tecmath
      @tecmath  2 ปีที่แล้ว

      Thanks!
      I'll give you a hint.
      For all of these we have the hundreds digit (T x T), tens digit (T x U +U xT), units (UxU).

  • @nirajpatel191
    @nirajpatel191 2 ปีที่แล้ว

    Cross multiplying work's best for me

  • @armand4226
    @armand4226 2 ปีที่แล้ว

    very good !!!

  • @flexthegamer458
    @flexthegamer458 2 ปีที่แล้ว +2

    You made a mistake on your caption,I think you meant "Multiplication methods that are faster than you learnt at school"

    • @tecmath
      @tecmath  2 ปีที่แล้ว

      Thanks Flex. Fixed.

  • @wyattstevens8574
    @wyattstevens8574 ปีที่แล้ว

    Cross multiplication (because the rainbow method really only seems to work easily with numbers less than 100)

  • @travisdrakereyes9302
    @travisdrakereyes9302 2 ปีที่แล้ว

    thx alot

  • @242henderson5
    @242henderson5 2 ปีที่แล้ว

    this is fast and easy, love it

  • @NollywoodLegends
    @NollywoodLegends ปีที่แล้ว

    Excellent. Please what app you use?

  • @V4K4R14N
    @V4K4R14N 2 ปีที่แล้ว

    "Multiplying faster than a rabbit..." I had to stop for a second 😂

  • @sheenamzafar8124
    @sheenamzafar8124 2 ปีที่แล้ว

    Today’s content was amazing.

  • @Muskan-sb7zj
    @Muskan-sb7zj 2 ปีที่แล้ว

    Thank you.
    You are my life savior in account

    • @tecmath
      @tecmath  2 ปีที่แล้ว +1

      Thank you for watching.

  • @samhoward8909
    @samhoward8909 2 ปีที่แล้ว

    Awesome techniques but I think cross multiplication method for me!

  • @kamikaze8645
    @kamikaze8645 2 ปีที่แล้ว

    in Holland, the right hand cross multiplication is taught from grade school :)

  • @mrman6436
    @mrman6436 2 ปีที่แล้ว

    Can you do a reverse percentage video please?

  • @mickel29
    @mickel29 2 ปีที่แล้ว +2

    Multiplying faster than a rabbit.😂 if you know you know

  • @markking1960
    @markking1960 2 ปีที่แล้ว

    Guess I’ll just stick with the old school method, but it’s cool for the younger minds!

  • @ecgaming222
    @ecgaming222 2 ปีที่แล้ว

    you're the goat tecmath

    • @tecmath
      @tecmath  2 ปีที่แล้ว

      A goat. Not THE goat.

  • @smd9591
    @smd9591 2 ปีที่แล้ว

    I use a different method. For example 12 x 36. I first do 36 x10 so i get 360. Then I do 36 x 2 so i got 72. And then i add them both. To get 432

  • @nevastaka
    @nevastaka 2 ปีที่แล้ว

    I recommend for me that the rainbow multiplication is better for me

  • @dorischoo
    @dorischoo 2 ปีที่แล้ว

    I agree

  • @ChessQuickies
    @ChessQuickies 2 ปีที่แล้ว

    I like both of them: they are similar ways that don't require as much calculation.

    • @tecmath
      @tecmath  2 ปีที่แล้ว

      The funny thing... the calculation is the same as standard long multiplication - except the addition is more compressed.

  • @VM-yd6zq
    @VM-yd6zq 2 ปีที่แล้ว

    It helps break down what is happening when we multiply, but it seems too confusing for those beginning double digit multiplication.

  • @eugenebalster3850
    @eugenebalster3850 2 ปีที่แล้ว

    Seems to me that although the methods are good, not really that much easier than the older method you already know, plus you need to remember the different rules for each one. If my old method always works, do I need a new way?

  • @The_Aspirant-banker
    @The_Aspirant-banker 2 ปีที่แล้ว

    Agree

  • @imposterk9768
    @imposterk9768 2 ปีที่แล้ว

    I was so surprised how easily he did it i went to check on a calculator the guy is never wrong

  • @kanagadurkadevi3000
    @kanagadurkadevi3000 2 ปีที่แล้ว

    வாழ்த்துகள் ஐயா 🎉
    பயனுள்ள பதிவு
    நன்றி

  • @Ladylace97
    @Ladylace97 2 ปีที่แล้ว +1

    Both are good but I like the rainbow

  • @Nlghtshade_
    @Nlghtshade_ 2 ปีที่แล้ว

    I would do 12 x 31 different by doing 2 x 31 (62) + 10 x 31 (310) equaling 372

  • @tonybarfridge4369
    @tonybarfridge4369 2 ปีที่แล้ว

    I like them both equally but when it comes to large numbers I prefer the rainbow method

    • @tecmath
      @tecmath  2 ปีที่แล้ว +1

      Interesting! They are essentially the same, and either can be run left to right or right to left.

    • @tonybarfridge4369
      @tonybarfridge4369 2 ปีที่แล้ว

      @@tecmath I believe for the larger numbers it requires writing out lines of results to add, but with cross multiplying it's mainly mental? Anyway it's true both methods use the same formula. However I'd appreciate any further insights u have and it was worth doing another video on them

  • @mohrakhsaidi8568
    @mohrakhsaidi8568 2 ปีที่แล้ว

    Cross one please 🙏

  • @einfachrayven5821
    @einfachrayven5821 2 ปีที่แล้ว +1

    And if you want to multiple 3 numbers?

    • @tecmath
      @tecmath  2 ปีที่แล้ว +1

      Here's for four. I reckon you'll see the pattern. th-cam.com/video/LgJ5bNHBbD4/w-d-xo.html

    • @einfachrayven5821
      @einfachrayven5821 2 ปีที่แล้ว

      @@tecmath thanks

  • @Iamboredddd
    @Iamboredddd ปีที่แล้ว

    Hello Josh!

  • @hxrlxxn
    @hxrlxxn ปีที่แล้ว

    Can trick for more than 2 digits?

  • @mcintosh6214
    @mcintosh6214 2 ปีที่แล้ว

    This is the first video that I've actually known the method before.

  • @Yusran-ns6uj
    @Yusran-ns6uj 2 ปีที่แล้ว

    Please give us tutorial for 3 digits multiplication

  • @robertcattermole4586
    @robertcattermole4586 2 ปีที่แล้ว

    U r awesome

  • @dejanmzivkovic2213
    @dejanmzivkovic2213 2 ปีที่แล้ว

    Cross method

  • @kiminseattle3476
    @kiminseattle3476 2 ปีที่แล้ว

    Cool!

  • @infinitepr0d1gy55
    @infinitepr0d1gy55 2 ปีที่แล้ว

    Do these methods work with more than double digits?

    • @tecmath
      @tecmath  2 ปีที่แล้ว

      They can be modified - especially the cross method.
      th-cam.com/video/LgJ5bNHBbD4/w-d-xo.html