when the number is diffreing by 2 we took 1 square i.e (2/2=1) and when we the diffrence is 4 we took 2 square i.e (4/2=2) and finally when the difference is 6 we have to take (6/2=3) and hence 3square =9 .This is the logic behind that. I hope you could understand this now ..
You are supposed to make it easy, not complicated. Any 2, 3 or 4 digit number can be multiplied by 11 in the most simplest of forms. Here's how it can be done. 11x11 (1+1) = 2 place inbetween 1 1 for Ans: 121 14x11 (1+4)= 5 place inbetween 1 4 for Ans: 154 17x11 (1+7)= 8 Ans: 187 17x15 (1x1)=1 (7x5)=35 (7+5)=12 135 26x24 (2x2)=4 (6x4)=24 424 12 (6+4)=10 (10x2)=20 20 ---------- ---------- 255 624 That's what I call "simple"
@@sureshaggarwal if it is something you have practiced and inherited, then why complicate it with your inbetween methods of multiplication. You shoulf know better than that. You are a good teacher no doubt. Keep up the good work. I was only pointing out what it should have been and was not. Cheers
@@sureshaggarwal Not at all, and I'll tell you why. I wrote a book on how to become a math's WIZ some 10 years ago, and have given lectures on it over the years. I was an "honors" student in maths at an early age. Looks like you have misunderstood me. I am not the one that finds maths complicated in anyway, shape or form. I was referring to anyone interested in learning it, either by you or anyone else. Remember it's the begginers that our interest should be foremost on. I'm sure that you are very well aware of that. No offence to your capabilites intended.
Suresh Aggarwal hmmmm i tried it with more questions... Like 98 × 36 and 38 × 88 ... It's working ... I just got that ... (Square of the middle term of two digits - Square of the half of the gap between middle term )
If you want to use this method with numbers that have an odd difference you will wind up squaring with numbers that end in .5. Use the squaring any numbers that end in 5 trick to square them. The product will always end in .25 so you can just not add that since it gets canceled out. Since the squaring numbers that end in 5 trick is not just a number squared so understand n(n+1)=n^2+n to keep the first part of that trick easier to combine with the one in this vidoe when using larger squares you already know the product of. Again, I am using the square any number ending in 5 method, and dropping the .5^2 part of the result. 11x16, difference of 5, 5/2= 2.5 11+2.5=13.5 13^2+13=169+13=182 2.5 2^2+2=4+2=6 182-6=176=11×16
It is simple use of a^2 - b^2 = (a+b)(a-b)
For example 15 × 17 = (16 -1)(16 +1)= 16^2 -1 = 256 - 1 = 255
Exactly
That's what he said, but he didn't explain till later why 1, because 1^2
When tenth place is same and unit digits add up to 10
32*38=1216
3*4=12
2*8=16
Calculation can be done directly
That one is simple but limited
if the difference is 1,3,5,............ then how to multiply ........?
Sir I have not understood the last one 11*17 ? The difference is 6 so 6 must be substracted not 9 , please correct me if I am wrong.
In that case difference is 6, so half of 6 =3 so 3^2=9
Can we take pattern square of mid no.- n square
Sir, why did you use 9 instead of 6 for difference 6, may I get explanation for that
when the number is diffreing by 2 we took 1 square i.e (2/2=1) and when we the diffrence is 4 we took 2 square i.e (4/2=2) and finally when the difference is 6 we have to take (6/2=3) and hence 3square =9 .This is the logic behind that.
I hope you could understand this now ..
I proved them. Thank you sir
Tq sir.
I like your every video
Oh thnx sir ,thnx a lot for helpful suggestions
thank u so much sir for giving amazing videos.. it's really helpful for us.....and u r brilliant sir☺
You are supposed to make it easy, not complicated. Any 2, 3 or 4 digit number can be multiplied by 11 in the most simplest of forms. Here's how it can be done. 11x11 (1+1) = 2 place inbetween 1 1 for Ans: 121 14x11 (1+4)= 5 place inbetween 1 4 for Ans: 154 17x11 (1+7)= 8 Ans: 187 17x15 (1x1)=1 (7x5)=35 (7+5)=12 135 26x24 (2x2)=4 (6x4)=24 424
12 (6+4)=10 (10x2)=20 20
---------- ----------
255 624 That's what I call "simple"
Simple is something which we have practiced and inherited.
@@sureshaggarwal if it is something you have practiced and inherited, then why complicate it with your inbetween methods of multiplication. You shoulf know better than that. You are a good teacher no doubt. Keep up the good work. I was only pointing out what it should have been and was not. Cheers
@peterbrown2882 It sounded complicated to you...just you.
@@sureshaggarwal Not at all, and I'll tell you why. I wrote a book on how to become a math's WIZ some 10 years ago, and have given lectures on it over the years. I was an "honors" student in maths at an early age. Looks like you have misunderstood me.
I am not the one that finds maths complicated in anyway, shape or form.
I was referring to anyone interested in learning it, either by you or anyone else. Remember it's the begginers that our interest should be foremost on.
I'm sure that you are very well aware of that.
No offence to your capabilites intended.
very helpful trick sir
Sir how you got 14 and 13
What if gap is 5 i mean 11×16 .... Unable to apply this... Plz clarify... Cuz if gap is an even number it's ok but what if it's odd number
+Dharmendra Pandey.....gap should be even
Suresh Aggarwal hmmmm i tried it with more questions... Like 98 × 36 and 38 × 88 ... It's working ... I just got that ... (Square of the middle term of two digits - Square of the half of the gap between middle term )
Btw tricks are awesome and u r a very good teacher too sir 👍👍
+Dharmendra Pandey .....Thanks
If you want to use this method with numbers that have an odd difference you will wind up squaring with numbers that end in .5. Use the squaring any numbers that end in 5 trick to square them. The product will always end in .25 so you can just not add that since it gets canceled out.
Since the squaring numbers that end in 5 trick is not just a number squared so understand n(n+1)=n^2+n to keep the first part of that trick easier to combine with the one in this vidoe when using larger squares you already know the product of.
Again, I am using the square any number ending in 5 method, and dropping the .5^2 part of the result.
11x16, difference of 5, 5/2= 2.5
11+2.5=13.5 13^2+13=169+13=182
2.5 2^2+2=4+2=6
182-6=176=11×16
Thank you sir you are brillaint sir really much of helpful your tricks
Just awesome
Sir what's the mathematical reason behind this.
+sujit sharma ....think of a basic algebraic identity
vow,wonderful trick, especially for banking aspirants
REALLY A VERY GOOD AND TIME CONSUMING TRICK
Time saving really
thanks
Phenomenal sir thanks
44x48
2200-88=2112
Tq so much sir
too good...
Thank you sir
Why do these methods work?
Identity based
Anita Walia
(x+y)(x-y)=x²-y²
He uses this identity
Why Hindi always genius? unfortunately the country still snafu because government still corrupt. 👍🏻🙏🏻
🙏👍👍👍👍👍👍👍👍👍👍👍
Video is not clearly seen
+Kumar Ragendra....increase resolution of youtube video setting to 480p or above
Blah blah blah 👎
Very useful