Trachtenberg System of Speed Mathematics Part-1

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  • Опубликовано: 4 ноя 2023
  • In this Video I will Introduce you to the Trachtenberg System of Speed mathematics, How its better and faster than traditional means and how you can calculate lightning fast using this method!
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Комментарии • 135

  • @mathOgenius
    @mathOgenius  9 месяцев назад +52

    I hope you enjoy this Video and Learn something New !

  • @daniel.sandberg.5298
    @daniel.sandberg.5298 9 месяцев назад +76

    Just a reminder: no matter the level of the teaching, its the perseverance that predict you results. The teacher is no wizard, they just help you on the right tack and dont think for you.

  • @user-rz9iv1hx8t
    @user-rz9iv1hx8t 7 месяцев назад +40

    *Multiplication 5*
    ● when using the trachtenberg method, we start from the last digit, working our way towards the first. So from right to left
    ● the digit underneath will be half the number to the right ➡️
    EG :
    026 × 5
    130
    1) underneath 6 there is 0 since there are no numbers after 6.
    2) underneath 2 there is 3 since half of 6 = 3
    - it is important to note that in front of every number, there is an zero, and underneath the zero will be half of the first digit.
    - In this case there is 1 underneath 0 since half of 2 = 1
    ● if the original (top) number is odd, then add 5 to the value you get after halving the number to the right
    《Example》
    036 × 5
    180
    1) here, the number under under 3 is 8. This is because half of 6 is 3, and since the original (top) number is odd, we add 5 to the half, so 3+5=8.
    ● it is important to remember that the half of odd numbers will not end in .5, instead we will ignore it and just use the first digit.
    In this case, underneath 0 is 1, since half of 3 is actually 1.5 and we have ignored the .5
    *Multiplication 6*
    ● underneath each number, will be the original (top) value + add half of the number to its right
    《Example》
    026 × 6
    156
    - underneath the 6, there will be a 6 and nothing else since there is no other value next to the top 6
    - underneath 2, there is a 5 since we halfed 6 which = 3 and added it to the original top number which is 3+2=5
    - underneath 0 there is a 1 since half of 2 = 1 and 1+0=1
    ● if the top digit is an odd number, then we'll do the same exact thing, however we will add an additional 5 to it.
    《Example》
    036 × 6
    2•16
    1) underneath 6 there is a 6 since there is no neighbouring digit
    2) underneath 3 there is •1, this is because half of 6 is 3 so 3+3=6 then we add the additional 5 which is 6+5=11
    since 11 is a two digit number, we will use the unit number and next to it we'll put a dot to represent the extra tens.
    3) underneath 0 there is a 2 since half of 3 is 1 and we added the extra ten from the last digit, so 1+1=2
    *Multiplication 7*
    ● underneath the top number, we will double the top value, then add half of the neighbouring number
    《Example》
    026 × 7
    18•2
    - underneath 6 there is a •2 which basically represents 12. This is because we double 6 which = 12 and added 0 since there is nothing next to it.
    - underneath 2 there is an 8, since 2×2=4 and half of 6 = 3 so 4+3=7. Then we added the extra 10 on which is 7+1=8
    - underneath 0 is 1 since 0×2=0 and half of 2=1
    ● just like before, if the top digit is an odd number, we will do the same thing but add an additional 5
    《Example》
    036 × 7
    2•5•2
    1) underneath 6 there is •2 since 2×6=12
    2) underneath 3 there is •5, since 3×2=6 add half of 6 which is 3, so 6+3=9
    Then we add the additional 5 which is 9+5=14 and then add the extra ten 14+1=15
    3) underneath 0 there is a 2, since half of 3 is 1 add the extra 10 1+1=2
    *Multiplication 11*
    ● underneath the digit, add the neighbouring number to the top value
    《Example》
    026 × 11
    286
    1) underneath 6 is 6, since there's nothing next to 6
    2) underneath 2 is 8 since 6 is the neighbouring digit so 2+6=8
    3) underneath 0 is 2 since 2 is the neighbouring digit

    • @user-rz9iv1hx8t
      @user-rz9iv1hx8t 7 месяцев назад +6

      Exercise : practice Multiplication 6
      0827 × 6
      496•2 ✅️
      * Remember to carry the ten over
      0792 × 6
      4•7•52 ✅️
      01927 × 6
      1•1•56•2 ✅️
      071930 × 6
      4•3•1•580 ✅️

    • @poproll2709
      @poproll2709 4 месяца назад

      Thanks urs is much simpler to understand 😂

    • @kumarsiva5701
      @kumarsiva5701 Месяц назад

      Tell me how to do 598 X 5. I tried but answer not coming. pls explain it...

    • @user-rz9iv1hx8t
      @user-rz9iv1hx8t Месяц назад

      @kumarsiva5701
      598 × 5 = 2990
      0598 × 5
      2990
      ● the number underneath 8 is 0 since it is the last digit of the number
      ● the number underneath 9 is 9 because half of 8 is 4, and since 9 is an odd number, we must add 5 to 4 = 9
      ● the number underneath 5 is 9 since half of 9 is 4.5 However, we must ignore the .5
      And since 5 is an odd number, we must add 5 to 4 = 9
      ● lastly the number underneath 0 is 2 since half of 5 is 2.5 and we will ignore the .5

    • @Momooooo0000
      @Momooooo0000 4 дня назад

      @@user-rz9iv1hx8twhat is 277 x 5

  • @shirleylum2198
    @shirleylum2198 8 месяцев назад +16

    Thank you for helping me learn faster and easier. I'm thankful you are on YT.

  • @Vlogsforeveryone13
    @Vlogsforeveryone13 9 месяцев назад +8

    Omg Sir this is really work for me.Thank You Sir 🎉

  • @user-kk2xz2jy3x
    @user-kk2xz2jy3x 6 месяцев назад +2

    this video really helped me!

  • @bransba
    @bransba 6 месяцев назад +1

    Thank you so much, I was able to understand well :)

  • @LeBronCrisy-qr1ud
    @LeBronCrisy-qr1ud 5 месяцев назад

    This is good bro love it

  • @tatuco8
    @tatuco8 3 месяца назад

    Excellent lesson, thank you 👌👍

  • @shobhamamani9602
    @shobhamamani9602 7 месяцев назад +1

    Your video are Amazing👍👍👍👍

  • @florindasoares4948
    @florindasoares4948 9 месяцев назад +3

    Cool bro thamks

  • @Nxvi779
    @Nxvi779 9 месяцев назад +2

    Thankyou ❤😊

  • @r.i.p.volodya
    @r.i.p.volodya Месяц назад

    very very interesting!

  • @cute-zy8zy
    @cute-zy8zy 9 месяцев назад +2

    Nice video sir

  • @poosalarithwik3674
    @poosalarithwik3674 9 месяцев назад +1

    Thank u sir part 2 plz

  • @jvlogs6878
    @jvlogs6878 9 месяцев назад

    Very helpful

  • @lingeshbabu3
    @lingeshbabu3 9 месяцев назад +13

    Hey I am very happy to see you again sir. Being a 10th grade student I love your videos

  • @pythongaming322
    @pythongaming322 9 месяцев назад +5

    Sir please make video. On division and sir we can do questions like 22797×55555 or not please

  • @Tunishasharmaforever.
    @Tunishasharmaforever. 3 месяца назад +1

    All izzz welll!!!

  • @x.i.o.i.x
    @x.i.o.i.x 4 месяца назад

    Can we count it from the front ?
    If i count number with mind and count it from behind sometimes it confusing to rearrange the number

  • @mayasingh9562
    @mayasingh9562 8 месяцев назад +1

    Thanks ❤ sir

  • @rajaananthi9234
    @rajaananthi9234 9 месяцев назад +4

    Thank you ❤ for your valuable message

  • @Amantheparadise
    @Amantheparadise 5 месяцев назад +1

    More videos of mental multiplication please

  • @user-if5hy2wo6r
    @user-if5hy2wo6r 8 месяцев назад +1

    Can you make more of this type of videos

  • @bhai00001
    @bhai00001 9 месяцев назад +3

    ❤Thanku bhaiya, I have been finding a alternative of tables. Now I am in 9th standard but I have problem in remembering the tables thanks 🙏 alot bro pls continue this series. You are contributing to students who have difficulty in math who don't like math due to its calculations(tables).

  • @malikkhan4823
    @malikkhan4823 9 месяцев назад +1

    Waiting for part 2

  • @kolenhansda594
    @kolenhansda594 8 месяцев назад +2

    Part 2 please

  • @Art-zl8lr
    @Art-zl8lr 9 месяцев назад +2

    Thank you sir! ❤

  • @ShikharSinghhhh
    @ShikharSinghhhh Месяц назад +1

    Came because of Mary Adler
    Stayed for MathOGenius

  • @Krish-7W
    @Krish-7W 9 месяцев назад +3

    Waiting for more of this series

  • @randycny
    @randycny Месяц назад

    I looked at the number and thought what system would I make up to Multiply by 5. I just added 0 to the right and then 1/2 the number. This is just easier math to me. The 0 to multiply by 10 and 5 is 1/2 that. If the number is odd you 1/2 the number and add 5 to the number to the right.
    So when he explained it, it seemed similar to what I just figured out. Never really thought about it before this though. Going to have to think about the others and learn the system. :)

  • @user-qo9iz2xu3u
    @user-qo9iz2xu3u 7 месяцев назад +1

    WOW

  • @bananik6570
    @bananik6570 2 месяца назад

    9:15 is it +5 because 1 is odd or (1 x 2)+1=3, 3 is odd?????

  • @RealKayd3nYT
    @RealKayd3nYT 9 месяцев назад +1

    Nice

  • @shamiham1445
    @shamiham1445 8 месяцев назад +1

    Really helpful, make more videos thank you.

  • @stephenoluwafemiherbert
    @stephenoluwafemiherbert 9 месяцев назад +1

    Thanks

  • @goku10096
    @goku10096 3 месяца назад +2

    5:28 half of '3' is '1', 1 is an odd Number, why don't you add 5 ?

    • @bananik6570
      @bananik6570 2 месяца назад

      Because 4 isn't odd,not one

  • @devpatel6867
    @devpatel6867 8 месяцев назад

    Thank You So Much Sir, It Helps Me A Lot

  • @manishkarsh6836
    @manishkarsh6836 7 месяцев назад +1

    Sir before moving forward I would like to say that 1 is also odd number but why you didn't add 5 where as you add 5 with 3 . Explain it to me make me out of doubt sir 🤔🙏😊.

  • @jaiveer__singh
    @jaiveer__singh 9 месяцев назад +7

    Please make more videos which are helpful in competitive exams 🙏🏻
    ( basic maths & reasoning)

    • @mathOgenius
      @mathOgenius  9 месяцев назад +4

      sure ! this method is also very useful for competitive exams!

  • @elinggong
    @elinggong 8 месяцев назад +1

    Is there part 2 ?

  • @skizoo5510
    @skizoo5510 3 месяца назад +101

    who came here because of mary?

  • @Nameless_Monster729
    @Nameless_Monster729 Месяц назад

    Explanation is great. But i didn't understand one thing. How could the Trachtenberg method work in muliplication of 5, with 793 × 5?
    As per the rule, the neighbour of 3 is zero. But how did 5 appear in the ones place? Can you please explain? 👍

  • @humaad135
    @humaad135 9 месяцев назад +1

  • @joshuawollenahupt2227
    @joshuawollenahupt2227 9 месяцев назад +8

    Thank you! I was not passing math last year... this year you have helped me get A's!!

  • @minahilfaisal9682
    @minahilfaisal9682 7 месяцев назад +3

    multipilcation with 6 is most confusing sir!

  • @jatin_and_vivaan
    @jatin_and_vivaan 8 месяцев назад +1

    can you make a video on easy squares
    till 100

  • @user-yi9uy2ph8m
    @user-yi9uy2ph8m 8 месяцев назад +1

    Video for balance number bro

  • @rkvinotasana1128
    @rkvinotasana1128 2 месяца назад

    Wow

  • @marksonmoderator1980
    @marksonmoderator1980 9 месяцев назад +3

    Thank you for this lesson...it helps me a lot even during i have a hard time calculating..Hoping for more math videos

  • @weewee-hy5kj
    @weewee-hy5kj 4 месяца назад

    So how did the 3 came to the neighbour of 2 and 6 ??( Sorry for my English)

  • @MathsProdigy007
    @MathsProdigy007 8 месяцев назад +1

    How to Calculate faster than a Calculator? | Mental Maths | (Part -1, 47 × 25 in a second)|
    ruclips.net/video/PB_3uOe5BRo/видео.html

  • @AndrewCastellanoReal
    @AndrewCastellanoReal 9 месяцев назад +7

    Thank you, does a pattern develop? I was surprised there were methods for 11 and 12 rather than extending the methods for 1-9 to 2-digit numbers.

  • @kumarsiva5701
    @kumarsiva5701 Месяц назад

    598 X 5 is not working with that method. Any explanation?

  • @rajaananthi9234
    @rajaananthi9234 9 месяцев назад +4

    Can you pls share us a study routine 😊

  • @Chetanmalik369
    @Chetanmalik369 8 месяцев назад +1

    Bro make more videos

  • @FlantBG
    @FlantBG 2 месяца назад

    I’ve been knowing this 😭 I thought it was something different

  • @chanchalalex
    @chanchalalex 4 месяца назад

    How to do 498×5

  • @yessumify
    @yessumify 9 месяцев назад +1

    This is so cool!

  • @anualex3633
    @anualex3633 8 месяцев назад +2

    Plz make a video on division techniques to solve data interpretation questions

  • @FellowHindu
    @FellowHindu 9 месяцев назад +1

    We will become calculator with this one 🗣️🗣️🗣️

  • @hridhaanarora6148
    @hridhaanarora6148 9 месяцев назад +2

    @9:36 8 is even, then why add 5?

    • @UgLyBOIIIYY
      @UgLyBOIIIYY 4 месяца назад

      Because the starting number that is 3 is uneven Because number means the start in here, dude I am 12 step up your game

  • @user-tw3so9tn5d
    @user-tw3so9tn5d 8 месяцев назад +2

    math

  • @vanshmusic04
    @vanshmusic04 9 месяцев назад +1

    Sir pls explain how this rule they had formed like "Add a neighbour " to multiply with 11

  • @shubhajitchakraborty
    @shubhajitchakraborty 9 месяцев назад +2

    8379 * 5 = 41895. I,m stuck at 8. Please let me know how can I get 41 to complete the calc?
    793 * 5 = 3965, again the same problem...
    You are highly appreciated for the efforts you put in to educate us. 🙏❤🧡❤🙏

    • @-VND-
      @-VND- 9 месяцев назад +1

      1/2 of 3 =1 (8 - even -> no additional 5) and 1/2 of 8 = 4 (0 - also even so no additional 5),
      the same for the second number

  • @pmyt3610
    @pmyt3610 9 месяцев назад +1

    One day I will get marked

  • @kadi34
    @kadi34 7 месяцев назад +2

    Bruh he's an human calculator just like me don't you know ²2 or ³3

  • @venom15shorts29
    @venom15shorts29 9 месяцев назад +2

    Thank You Very Much Bro Advanced Happy 400k 🎉🎉

  • @SaadLangilao
    @SaadLangilao 9 месяцев назад +2

    "🅿️ℹ️N"❓ 🅿️LE🅰️SE❓

  • @dumenkosinibalufu9157
    @dumenkosinibalufu9157 8 месяцев назад +1

    smart pants

  • @kaarthiks2816
    @kaarthiks2816 9 месяцев назад +1

    wonderful

  • @Milkman4279
    @Milkman4279 9 месяцев назад +6

    He says the keys are universal. There aren't special rules for each specific number, then shows us a bunch of special rules for each specific number 🤔

    • @mathOgenius
      @mathOgenius  9 месяцев назад +1

      Great question!
      in a previous video in one eg multiply 54x56 very fast but with a condition that starting numbers are same and ending digits add to 10. but for this method there are no conditions like that. if you remember a key for specific number then you can multiply any number with that. its like a table for that number.

  • @Astr4_10
    @Astr4_10 8 месяцев назад +1

    Can u makethe blob math game on ios?

  • @Marrk_7u7_
    @Marrk_7u7_ 4 месяца назад

    Why dont school teach this to us

  • @HellFall35
    @HellFall35 Месяц назад

    I dont understand :(

  • @The_Totes_Adorbs
    @The_Totes_Adorbs 5 месяцев назад +2

    Yea..... no. This seems 10,000,000x harder than just basic standard problem solving... I prefer the Japanese method because it can be done with an image which can be mentally visualized

    • @RamBahadur-je6iw
      @RamBahadur-je6iw 4 месяца назад +1

      Can you plz drop the link of the video

    • @The_Totes_Adorbs
      @The_Totes_Adorbs 4 месяца назад

      @@RamBahadur-je6iw Links are usually banned in all comment sections, :3 but just youtube search, "japanese math technique" you know you've found the right videos when you see images of crosshatch sections.

  • @bundle_of_knowledge
    @bundle_of_knowledge 9 месяцев назад +1

    Very nicely explained ❤

  • @ronaldzazu9595
    @ronaldzazu9595 4 месяца назад +1

    Why don’t schools teach this

  • @mathlearner13
    @mathlearner13 6 месяцев назад +4

    i dont get it

  • @mahaboobbasha6148
    @mahaboobbasha6148 2 месяца назад

    Riddle-what is a horse living in the next door?

  • @cartoonproductionzacharysc4459
    @cartoonproductionzacharysc4459 5 дней назад

    Paryags name spelled backwards 😂 no offense

  • @YassinBwoy-uy4de
    @YassinBwoy-uy4de Месяц назад

    Apart from me who else came here because of Mary🤣🤣🤣

    • @tristanhegge1486
      @tristanhegge1486 Месяц назад

      I'm a 14 year old I came here because of that movie now I'm determined to figure tractonberg method out

  • @goMANgo84
    @goMANgo84 6 месяцев назад

    you’re cute