Mental Multiplication Math Trick - Multiply numbers in your head near 100

Поділитися
Вставка
  • Опубліковано 21 лют 2013
  • This mental multiplication math trick uses the idea of a third number - a base number - to help us multiply two numbers in your head. This series of videos first looks at multiplying numbers near 10 using base 10. The second video looks at multiplying using base 20 and 30. The third video looks at how to apply this mental multiplication trick to numbers near 50. The forth video the investigates ho to easilt mentally multiply numbers near to 100. Continue your mental math multiplication abilties here!
    To donate to the tecmath channel:paypal.me/tecmath
    To support tecmath on Patreon: / tecmath
    To buy tecmath mechandise: teespring.com/stores/tecmath-...

КОМЕНТАРІ • 134

  • @robinmathews777
    @robinmathews777 3 роки тому +13

    I’ve been watching all your video series on multiplication and they really helped a lot in improving my multiplication skills! You’re the best math teacher I never had! Thanks so much for these videos..God bless!

  • @mrstuartgibbs
    @mrstuartgibbs 11 років тому +10

    Just starting from no 1 and working my way up.... Thanks tecmath enjoying maths again..

  • @GunterJPN
    @GunterJPN Рік тому +2

    For those that know algebra, this is basically changing it to multiplying two binomials and using the FOIL method.
    105x107
    Change that to
    (100+5)x(100+7)
    The cross-adding is combining the FOI in the FOIL method. It makes it easy because your First numbers are 100.
    10000
    + 700
    + 500
    ----
    11200
    So now it’s just the Last number added to that, or
    5x7 = 35
    11235 is the answer.

    • @divermike8943
      @divermike8943 16 днів тому

      Not sure the foil method is easier to do in your head or not. You want to have fewer numbers to hold in sort term memory from mental math. But it's whatever works best for you.

  • @sanjayagarwal7243
    @sanjayagarwal7243 6 років тому +2

    Thank you. Amazing tricks.

  • @deborahovalle-vazquez7229
    @deborahovalle-vazquez7229 3 роки тому +3

    Dude thanks for the math cause I'm getting those equations next week and this one

  • @Black.cat._
    @Black.cat._ 3 роки тому +2

    Thanks for this series, very good teaching :D

  • @airmen56
    @airmen56 7 років тому +3

    Thanks a lot, great!

  • @McGavel1
    @McGavel1 9 років тому +8

    I really love all these - thanks!

  • @abderrahmanechaddou5779
    @abderrahmanechaddou5779 7 років тому +2

    very amazing thanks very much indeed,

  • @nkaul7691
    @nkaul7691 11 років тому +2

    Great video

  • @DJ-cm3zm
    @DJ-cm3zm 7 років тому +11

    I learnt a great concept today May 22, 2017 (IST)

  • @JOHAN5459
    @JOHAN5459 11 років тому +2

    i love so much your math trick..!! :P

  • @mathbbn2676
    @mathbbn2676 2 роки тому +1

    very good teacher

  • @tewodroswolderufael7198
    @tewodroswolderufael7198 5 років тому +1

    very good,

  • @SussyEgg297
    @SussyEgg297 11 років тому +1

    This really helps me in math kind of hated math.

  • @Nerketur
    @Nerketur 3 роки тому +1

    Doing the math, this will also work with fractions or decimals as long as you do the multiplication correctly.
    Also, I like how this is recursive
    Say I wanted to do 120 × 123
    Base 100:
    +21, +23
    14300 + 21 × 23
    Base 20:
    +1, +3
    24 × 20 = 480 + 3 = 483
    So 121 × 123 is 14300 + 483 = 14783
    ----
    Also possible with 120 as a base, but that is harder for me to do in my head

  • @jaysingh-dt8rm
    @jaysingh-dt8rm 2 роки тому +1

    best method 👍

  • @prantoshnaha5114
    @prantoshnaha5114 7 років тому +1

    I LOVE UR VIDS ;]

  • @Farreach
    @Farreach 9 років тому +2

    i like this makes it so much faster atleast if your dealing with factors of 10 ....10, 100, 1000, 10000, and so on so if its 40,010 x 40,020 you would just add 200 to what ever you get by timing 400,300,000 by 4 ....which is 1,601,200,200...so much faster this way than doing it the typical way

  • @RicochetRita
    @RicochetRita 10 років тому +1

    Now, supposing we'd chosen the use the -4/5 difference. It still works, but it's a more difficult choice to do mentally.
    So, 24 -4/5 = 23 1/5 = 23.2
    Since we diminished this difference, we have to multiple by the secondary base of 100: 23.2 x 100 = 2320
    Now the rest is the same: +4 x -4 = -16. So, 2320 -16 = 2304

  • @xoxomint3780
    @xoxomint3780 6 років тому +4

    I like your multiplication and l hope l will win in the math challenge

  • @islandboyw
    @islandboyw 3 роки тому +2

    What about when you have mixed base like one number base 10 and another base 100?

  • @RicochetRita
    @RicochetRita 10 років тому +3

    Use the "two base" method, where the secondary base is a simple multiple of the main base.
    For example, use: 20 (main) & 100 (main x5), to multiply 24 by 96
    So, the differences become: 24 - 20 = +4 96 - 100 = -4
    Now the important bit: Before cross adding, multiply (or divide) one by that base factor, 5. Either: +4 x 5 = +20 or -4 / 5 = -4/5
    Using the easier +20 gives: 96 +20 = 116 x 20 (main) = 2320
    Now multiply the (unmodified) differences: +4 x -4 = -16
    And finish it: 2320 -16 = 2304

  • @anitajoseph6534
    @anitajoseph6534 Рік тому

    thanks

  • @elserfamily7974
    @elserfamily7974 5 років тому +1

    to awesome!!!!!!!

  • @tecmath
    @tecmath  11 років тому +1

    sure.

  • @Aliasbaba41
    @Aliasbaba41 11 років тому +2

    Better than the other way round I think.

  • @divermike8943
    @divermike8943 16 днів тому

    Great video. But I wish
    he would line up, right justify, his digits when doing addition & subtraction

  • @gelics9948
    @gelics9948 3 роки тому +1

    it's fun 👏👏

  • @prantoshnaha5114
    @prantoshnaha5114 7 років тому +3

    i got all the answers correct

  • @horinamaniapoto3837
    @horinamaniapoto3837 11 років тому +1

    can u line the numbers proply thats what i didnt understand

  • @tonybarfridge4369
    @tonybarfridge4369 2 роки тому +1

    With 61x50, why not do 61x5x10 instead of x100/2?

  • @clintonsealey7504
    @clintonsealey7504 3 місяці тому

    Hi I’ve been learning this from your videos I learnt base of 10 an 20 ect then I tried showing my partner, I had done it with numbers like 23 x 28 etc using a base of 20 an ect then she said try 86x 86 an using the formula I couldn’t work it out it didn’t seem to work out the same way an I looked through your vids an couldn’t find you using the same numbers for this does it work out an could you show it doing so ? Thanks

  • @emiyakiritsugu6329
    @emiyakiritsugu6329 3 роки тому +2

    Hey what about 640×311
    Do i need base 310 or something
    😑😏😏

  • @RickyBlack9999
    @RickyBlack9999 11 років тому +1

    Can I request a video you can try to do?

  • @keyshajones5352
    @keyshajones5352 4 роки тому +1

    C+=Dramp=cClamp
    O+B
    C=cSourceryU=cvlamp
    n.d

  • @nguyenbuixuandung8620
    @nguyenbuixuandung8620 7 років тому +2

    very cool.

  • @NoplanKW
    @NoplanKW 3 роки тому

    What happen when you have 537*312 ?

  • @moulimindset24
    @moulimindset24 4 роки тому

    How to slove 243 multiply 823and 127&485

  • @julesgardet659
    @julesgardet659 4 роки тому +2

    _’Aigt “_ = 8

  • @abhigyanchandra7820
    @abhigyanchandra7820 11 років тому +1

    you rock .........i used to hate maths [like poop]
    but you saved me [If i become a pilot I would like to thank you ]

    • @MyBigThing2010
      @MyBigThing2010 6 років тому

      Abhigyan Chandra that's a scary content right there

  • @wenwenchen7062
    @wenwenchen7062 2 роки тому

    Excuses me, l don't understand how you do the 11100?

  • @spidermek5416
    @spidermek5416 3 місяці тому

    What about if under say 123× 56

  • @edgarkais2430
    @edgarkais2430 5 років тому +1

    Any trick for number far apart of each other and closeto two different bases.
    eg. 23x78

    • @M1zt_
      @M1zt_ 5 років тому +2

      Base 20 (I find it easier to pick the base that is close to the lowest number):
      +3 & +58
      78+3 = 81 * 2 = 162*10 = 1620
      3*58 = (150+24) = 174
      1620 + 174 = 1794.

    • @Nerketur
      @Nerketur 3 роки тому +1

      Could use a base closest to the center of the two
      Eg:
      23 × 78 :base 50
      -27, 28
      51 × 50 = 5100 ÷ 2 = 2550
      -27 × 28 :base 30 negative of 27×28
      -3, -2
      25 × 20 = 500
      500 + 6 = 506
      23 × 78 = 2550 - 506 = 2044
      Another way you could do it is say "oh, thats the same as 46 × 39", and use base 40, which would be less work

    • @emiyakiritsugu6329
      @emiyakiritsugu6329 3 роки тому

      I think all bases r appropriate
      13×83, we can use all bases from 10 to 80, it work every base is appropriate for it

  • @lorraineday8150
    @lorraineday8150 6 років тому +1

    you crazy I already now my time tables

  • @baldwinavila9801
    @baldwinavila9801 6 років тому

    what about 100?

  • @ElMrRojo
    @ElMrRojo 10 років тому +2

    108*56=? Same question of "Chetan singh", and 139*144=?
    Thanks for your videos!

    • @jordanlight374
      @jordanlight374 10 років тому +2

      dont always use the same trick, some maths questions will require different tricks, strategies etc

    • @iSupremest
      @iSupremest 10 років тому +2

      do 100x56. then just add 8 x 56. just as simple as the method above

    • @Nerketur
      @Nerketur 3 роки тому

      139 × 144: Base 100
      +39, +44
      139 + 44 = 144 + 39 = 183
      183 × 100 = 18300
      So 139 × 144 is 18300 + 39 × 44
      Do the trick again to figure out 39 × 44, with a base of 40, then add that final result to 18300, and you have your answer.

    • @thelegacyofgaming2928
      @thelegacyofgaming2928 3 роки тому

      @@Nerketur This does work, however, how would you keep track of this in your head?

  • @tobenijrvillarente3332
    @tobenijrvillarente3332 6 років тому +4

    What about 51x13

    • @nhiphan3704
      @nhiphan3704 5 років тому

      With this, just 510 + 153

    • @pioneeringworks
      @pioneeringworks 4 роки тому

      There is a reasonable conclusion on this topic in this channel ua-cam.com/video/T8lrOXlNJQQ/v-deo.html

  • @dilipkhednah
    @dilipkhednah 7 років тому +1

    It seems to be most of the numbers he uses add up to ten. tried to do 42x45. His was, It didn't work. The answer from his formula came to 2014. But when i used the calculator the answer was 1890. So where am i going wrong. Or it his formula right.

    • @Officialsearch21
      @Officialsearch21 7 років тому +1

      use the bases of 50

    • @MyBigThing2010
      @MyBigThing2010 6 років тому +1

      He's right...you're making a mistake somewhere...use a base close to your equations numbers to simplify.

    • @Psychedelian
      @Psychedelian 6 років тому

      42x45. Use base 40 add 2+5 =7 (when both are above the base just add the 'ones' column together for the final digit) and 2 x 5=10 | 42+5=47 or 45+2=47 so 47 x 40 (or 470 x 4)=1880 + 10 = 1890

    • @Psychedelian
      @Psychedelian 6 років тому

      Base 50 is 42 (-8)x 45 (-5) , number become 37. 37x50 (or 370x5)= 3700/2 = 1850. Then (-8 x -5) = 40...1850+40=1890. Same answer no matter what base you use.

    • @victorsoto2188
      @victorsoto2188 5 років тому

      check your multiplication
      -8 x -5 =40.....2 negatives equal positive 40
      42 -5=37 x 100=3700/2=1850+40=1890
      hope this helps

  • @cricketupdateandcricketpre2883
    @cricketupdateandcricketpre2883 6 років тому +1

    103×93 ka trick solution kare

  • @thelegacyofgaming2928
    @thelegacyofgaming2928 3 роки тому +1

    This method becomes impossible to do in your head once you get to the 150's and higher, or numbers too far apart from each other.

    • @siguythetacoguy7438
      @siguythetacoguy7438 2 роки тому

      Yeah no it’s after 110 sadly 111 multiplied by 115 ain’t 11605

    • @123duelist
      @123duelist Рік тому

      @@siguythetacoguy7438 Actually those two numbers work. The answer I got using the method was 12,765, so it works.

  • @moulimindset24
    @moulimindset24 4 роки тому

    Sir you are vidious really helpful but some problem do not solve for example 49 multiply 87 and you told 55 multiply 56 solve 3050.... Tell me and 13 multiply 69 give to vidious

    • @Nerketur
      @Nerketur 3 роки тому

      49 × 87: base 60
      - 11, +27
      87 - 11 = 76
      76 × 60 = 4560
      -11 × 27 = -297
      49 × 87 = 4560 - 297 = 4263

  • @roopeshgupta7457
    @roopeshgupta7457 6 років тому +1

    We are use vedic math

  • @grey2326
    @grey2326 5 років тому

    The first answer is the Fibonacci sequence

  • @revanthukkalam3604
    @revanthukkalam3604 9 років тому

    (x+a)(x+b)

  • @manasa9974
    @manasa9974 5 років тому

    Plz explain this 107*79

    • @GoffCool
      @GoffCool 4 роки тому

      I'm late but here you go.
      Base 70.
      107+9 or 79+37 = 116
      1160x7= 8120 and 9x37=333
      8120+333=8453

  • @tobenijrvillarente3332
    @tobenijrvillarente3332 6 років тому +2

    What about 125x15

    • @enzou
      @enzou 5 років тому

      benito villarente 1975

    • @nirv2796
      @nirv2796 5 років тому

      benito villarente Multiply by 20 then add half of that

  • @TheRhamza
    @TheRhamza 11 років тому +2

    5th

  • @m.sureshbabu2927
    @m.sureshbabu2927 5 років тому +1

    How 97 Tim's 36 ?

    • @GoffCool
      @GoffCool 4 роки тому

      I'm late but here you go. Base 30
      .
      97=67 more and 36=6 more. so 97 + 6 or 36 + 67 =103
      .
      10,30 x 3 =3090 and 67 x 6 =402
      .
      3090 + 402= *3492*

  • @newsmansuper2925
    @newsmansuper2925 Рік тому

    105 x 107 = 10700 + 535 = 11235

  • @SurajPal-kx5tr
    @SurajPal-kx5tr 4 роки тому

    Savan kumar answer is 105×107=11200

  • @newsmansuper2925
    @newsmansuper2925 Рік тому

    21 x 14 = 280 + 14 = 294

  • @Thehyperfury
    @Thehyperfury 10 років тому +4

    108*56=?????

    • @Officialsearch21
      @Officialsearch21 7 років тому +4

      I used the bases of 50 which was the video before this one.
      58 6
      108 X 56
      108+6= 114
      114 x 100=11,400
      11,400/2= 5700
      ---------
      58 x 6 = (I seriously had to break this down)=
      6 X 5 = 30 but of course were doing 50 X 6 = 300
      then 8 x 6= 48
      300+ 48= 348
      then we add both together: 5,700 + 348 = 6,048
      Thus, 108 x 56 = 6,048.

    • @Robin-sc1lf
      @Robin-sc1lf 6 років тому +1

      Josue... very good... I'd have done the same. It certainly gets much more complicated the larger the difference between the two numbers being multiplied. It is easy if you follow the rule using paper but I'd have got way lost trying to do this calc in my head, which is the principle of this technique. I'd get there but it would be very frustrating.

    • @Psychedelian
      @Psychedelian 6 років тому +2

      Or you could do it the easy way (100x56)+(8x50)+(8x6)=6048.This equates to 5600+400+48. It's good to know more than one way to solve problems. Always use the easiest way. Work smart not hard. I didn't use any base except common sense.

    • @jessicaliu5941
      @jessicaliu5941 6 років тому

      chetan singh near 100

    • @christocr
      @christocr 6 років тому +1

      @Led Zep: problem with that is (I'm not saying it doesn't work) it's too hard to hold all those number in your head. The methods this guy presents minimizes the number you have to try to store in your head. On paper, your method is great. But unless you have a really good memory, it's too many numbers floating in your head. That's always the challenge for me--remembering the sub-calculations. The actual computation is usually pretty simple.

  • @newsmansuper2925
    @newsmansuper2925 Рік тому

    105 x 101 = 10500 + 105 = 10605

  • @newsmansuper2925
    @newsmansuper2925 Рік тому

    104 x 97 = 10400 - 312 = 10088

  • @exostatics
    @exostatics 4 роки тому

    95

  • @barryjackson405
    @barryjackson405 Рік тому

    10400-312. 104x100 less 104x3.

  • @newsmansuper2925
    @newsmansuper2925 Рік тому

    109 x 102 = 10900 + 218 = 11118

  • @TuanNguyen-np8pv
    @TuanNguyen-np8pv 11 років тому +4

    second :D

  • @mohammadmasiullah1258
    @mohammadmasiullah1258 5 років тому +2

    U r saying so slowly

  • @PK-tn4vs
    @PK-tn4vs 6 років тому +1

    this is confusing

    • @MyBigThing2010
      @MyBigThing2010 6 років тому

      parsa kimiaie not really. Maybe you world view the base 10 videos and work your way up. It's ACTUALLY very useful and easy....period is not only me...scroll the comments. ....it's not a freebie...you have to learn it and practice but once you get out in your head you'll easily be doing this in your head with correct answers while others screw up on paper

  • @The310johnny
    @The310johnny 11 років тому +1

    First

  • @Mrbargais
    @Mrbargais 11 років тому +2

    How I ended up here from cat videos?

  • @cloudplayz7403
    @cloudplayz7403 5 років тому +1

    this is the worst video by him as it is 5 years gone but he has only 129,788 views and only 890 likes vs 47 dislikes.
    BTW I love ur videos very much :D

  • @MrTerminalZ
    @MrTerminalZ 8 років тому +2

    I have a different way, this is cheating.
    But my way may be ineffecient, as it took me 20 minutes of staring at a wall to solve 355 * 268.

    • @mmjgaming7607
      @mmjgaming7607 8 років тому +7

      There is no way to "cheat at math". In fact Arthur Benjamin, famous mathematician, one said that math simply is finding formulas and applying it to different numbers (by the way I very much paraphrased there please see his lecture at Ted X Oxford for the exact words.

    • @MyBigThing2010
      @MyBigThing2010 6 років тому +2

      How is this "cheating" you are still calculating answers manually. Man I hope you're some dumb kid and not a member of society with a divers license or a job that matters to anyone

    • @enzou
      @enzou 5 років тому

      MMJ Gaming yeah he’s my idol I learn some tricks from him ! I learnt the golden ratio from him too

    • @enzou
      @enzou 5 років тому

      Dude this guy plays free online games and has no life then says this is cheating

  • @prigaming1735
    @prigaming1735 3 роки тому

    2020 anyone

  • @SussyEgg297
    @SussyEgg297 11 років тому +1

    So darn long hurry up already.

  • @jtaoubina1921
    @jtaoubina1921 Рік тому

    Very bad chanel

    • @jtaoubina1921
      @jtaoubina1921 Рік тому

      Give a like to my comment if you agree

  • @keyshajones5352
    @keyshajones5352 4 роки тому

    C+=Dramp=cClamp
    O+B
    C=cSourceryU=cvlamp
    n.d

  • @keyshajones5352
    @keyshajones5352 4 роки тому

    C+=Dramp=cClamp
    O+B
    C=cSourceryU=cvlamp
    n.d