Multiplication Trick for Big Numbers | Faster Mind Calculation Hack
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- Опубликовано: 20 авг 2024
- This awesome multiplication trick is to multiply numbers near 100 in your mind within 5 seconds. Save this video for your future reference and share it with your friends. Don't forget to subscribe if you want math tricks videos.
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@Learn.with.Mahbub
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Please watch: "How to Calculate Faster than a Calculator - Mental Math #2"
• Mental Math Multiplica...
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For anyone who's interested why this works:
Here we have
(x+y)(x+z)
= x² + xy + xz + yz
= x(x + y + z) + yz
Let x = 100, then we have (100+y)(100+z) = 100(100 + y + z) + yz
Then y and z are the difference of the numbers to 100 respectively, and 100 + y + z is exactly the sum of one number (100 + y) and that difference of the other (z), where multiplying with 100 adds 2 zeros behind it before summing to yz, the product of that difference, exactly what's been described in the video.
The answer to 87*96, is basically the number 8352.
Yes. Thanks. Good work!
This dude is genius.
BRO NEEDS TO BE ON THE NEWS!
The greatest mathematician for me is Mahbub sir
You deserve more fame
wow!!!!!!!! i will definitely watch again to memorize this technique, thank you!
Thank you I love this it made me doing my homework easier! Thank you I liked and subscribed!! ❤🎉
Crazy! I love it!
Thank you for sharing
Wow!! Thank you so much!
Very wonderful trick! Thanks!
Cool trick! Thank you!!!
Thanks for diz info bruh. dis has saved ma' life.
Cant thank you enough for sharing such valuable thing. There's not many channels who's really teaching showing such stuff the way you're doing... 👍👌
Loved it!
Much quicker than what I can do.
❤️❤️
How easy to multiply two different number example 45×69 like this??
69×45
Ignore 4
69×5 = (69×0.5)×10 = 34.5×10 = 345 (I wrote it like that to show that, just take half of any number and multiply with 10, when you want to multiply with 5)
Now focus on 4
69×4 = 60×4 + 9×4 = 240 + 36 = 276, now add the 0 because you are multiplying with 40 (40 because we already multiplied with 5)
So, 2760+345 => 3060 + 45 => 3100 + 5 = 3105.
It looks like a long process but when you get used to these small computation tricks, literally any 2 digit multiplication can be done in the head under 10 seconds
45×69
(-5). (+19)(less/more than 50)
(Add 45+19 or sub 69-5)ans=64
64×5=320
Add one more 0 because of base 10 and sub 19×5 from 3200
3200-95=3105
(45x70) - 45
Let me tell u the fast trick 45 x 69
Step by step : this method work for all 2 digits number
First = multiply 5 x 9 it give u 45 now write it 5 and 4 as a carry so don’t write it just write it 5 .
Second = multiply 9 x 4 it give u 36 and also multiply 5x6 it give u 30 . Now put them together with carry number before which is 4
It look like this 36+30+4 = 70 and write it zero like this 05 and 7 as a carry so don’t write it 7 only write 0 in front of 5
Third = multiply 6 x 4 it give u 24 , and then add with carry which is 7 , it look like this 24 + 7 = 31
So the answer is 3,105
I hope u understand and do well , good luck 😊
For 45 x 69, do 45 x 70, then take the 0 off 70. So 45 x 2 = 90, double it again (45 x 4), 180, double it again (45 x 8), 360, then subtract 45 (45 x 7), 315. Then multiply 315 by 10 (45 x 70), 3150, then subtract 45 again (45 x 69). Giving you 3105. This isn’t much of a trick, it’s just simplifying numbers.
At 2:10 you say that we multiply one of the numbers by the opposites difference, but aren’t you subtracting? 87-4 = 83, or 96-13= 83. In any case, this is an awesome trick. Thank you very much!
Hi Maria, You're right. That was my slip of tongue. It is actually subtraction of one number from opposite difference.
very good explanation and thanks for it,
Pleasure is mine, thanks for your love ❤️
Thank for this trick mr.geniusmath. I was become a famous boy for defeat my math teacher in calculating now
So its again 99x91= 909
Actual is 9009.
Just like on the other video. So this must be exceptional.
Bro if you get only 9 you need to write it as 09
And same on others if you get 4 you need to write it as 04
Genius! 💪
Awesome, it’s soooo useful, thanks!!
Amazing
Thanks Teacher!
Thanks you very much I clearly understood your explanation.
Amazing concept.
Thanks for your love ❤️
Thank you so much Mahbub i will make sure to use this trick in class!
❤️
@@learn.with.mahbub I will continue to watch your videos!
Dude can you provide us some question banks as a HW and comment the solution here ?
Thank you dadaa ❤🎉 lots of support
Is there a reason or proof to be exact why is calculation works? It’s pretty miraculous, although I’m quite interested of why this method of finding the differences and subtracting them, then multiplying them can find the product? Like I don’t understand the link the numbers have with 100 specifically. It doesn’t seem to work if I used 99 or 200 as basis instead, by obvious means.
Here we have
(x+y)(x+z)
= x² + xy + xz + yz
= x(x + y + z) + yz
Let x = 100, then we have (100+y)(100+z) = 100(100 + y + z) + yz
Then y and z are the difference of the numbers to 100 respectively, and 100 + y + z is exactly the sum of one number (100 + y) and that difference of the other (z), where multiplying with 100 adds 2 zeros behind it before summing to yz, the product of that difference, exactly what's been described in the video.
Woww you made it too easy....
Is this similar to Harvard university?
Better than Harvard!
vedic maths
Yo! This is awesome
i dt understand the last on , can u make other examples plzz , and tnx 4 the explanation❤
👍👍👍
It's easy.. thanks
❤️❤️
This is so cool!!
hi why is the number when you minus the number, it will be excalyty the same
Its easy thanks
❤️❤️
2:11 not multiply, add/sub
Can we use this for the multiplication of numbers like 120 by 152?
You can, but that's not suggested. Instead you can do this:-
(152*100)+(152*10)+(152*10)
=>15200+1520+1520 = 18240
This trick doesn't work for all numbers
Like??
77 ×75
@@user-hj6hz5np6j it has different method because the first digit is same
87×96 = 8352 Ars
perfect 👌🏻
This method is ok any multiple
👏👏👏👏
how about 88*88?
It works. 7744 is the answer. Try and reply in this comment if you can't get this answer. Then I will show it to you.
5:32 Sir pls explain how we got 9400?
(105 - 11) 100 or (89 - 5)100
Imagine it's just to make the trick. After that we have to subtract the multiplication of the numbers left to 100 of the result.
@@xtril059didn’t get it can u explain more clearly please 😕
Hello
If X×X×X=2209.44. what are the values of X?
approximately 13. Somewhere between 13.02 and 13.03
736.48
Sorry, I was blind - i saw "+" first. >>>>The answer is 13.0245
we got gem
Does it work with 78*35. Because I am getting the wrong answer.
Yes, it does work with 78*35. It's 2730. But it's not a good idea to calculate this particular multiplication with this strategy because the difference between 100 and 35 is 65 which is also a big number. You'll have to multiply 65 and 22 at the second step which will be again time consuming.
So, use some other multiplication strategy for this one. I have already shared some multiplication strategies already in different videos, and will share some in the near future.
78 x 35 = 39 x 70 = 2730
8352
If the question is 40x50, how can i find the final result?
4*5 & add 2 zero at the end. 2000
@@learn.with.mahbub what if it is 36*54?
36*100 is 3600, half of it is 1800.
So, 36*50= 1800.
and, 36*4= 144.
So, 1800+144=1944.
I don't get it, how'd you get -13 &-4
Can someone explain?
87 is 13 less & 96 is 4 less than 100!
@@learn.with.mahbubhow come it doesn’t work with numbers like 107x125 is it to far away from 100? if so what is the range of how far away from 100 it can be for this to work. I think I found another trick. If the numbers are like 109x133 then you can do the same thing and then add the two numbers in the middle for the correct answer
100 minus 87 is 13;
100 minus 96 is 4.
since you're subtracting, it's technically a negative. so, "minus 13" aka -13, and "minus 4" aka -4
99*99
8532
Suppose question is 78x 85 then…. Answer should be 6630 while it is coming 63330 using the trick
Hi Soham, You got an interesting question. Thanks for asking this.
No, The ans is not 63330, It will be 6630. Let me tell you how!
The first part is (78-15) =63 & the last part is (-22*-15)=330. We will take last 2 digit in the end part which will be 30. 3 will carry forward to the first part. we will add 3 with 63. (63+3) is 66. So the ans will be 6630.
Got it?
Trick is correct 🤗 wait 💞 Mr. 360 view 🔥. 78×85=6630 ✓ because when,we follow this trick the❣️ differences of multiplication then (22×15=330) then we write ✍️ only last two digits ♣️ is 30 only❣️ and then we do 🎀. 78-15=63❣️ then 63+3(3 come from left of 330) =66 then. ( final answer is 6630 ) ♣️♣️♣️♣️♣️♣️♣️♣️♣️♣️♣️♣️♣️♣️♣️♣️♣️♣️♣️♣️🪄🪄🪄🪄🪄♦️♦️♥️♥️♥️♦️♥️♦️♠️♠️♣️♠️♣️♠️♥️♦️♥️♦️♦️♥️♣️
Since base is considered as 100, only 2 digits( equivalent to number of XEROs in the base)and the third one will be carried and added to Leftside numbers In this query the 3 is added to the 63 making it 66.
78. -22
85. -15
=63///330
=66 80
Sorry it is 6630
I dont get it
Watch again. It's really helpful