Amazing technique for calculating easily in your head

[iownudie108]

Man ,i got here by acident and now that i see people understand this stuff i fell dumb =(

[jeffr337]

I love your videos.

[Storestyggesvendsen]

what about 15 ^3 ? or 12 ^7 ?

[TheRealTrojanGoat]

Indians are good at Indian numeral calculations. Not Arabic numerals, it was taken from India. I am embarrassed by the way maths is taught in Britain at the moment. Thank God for the internet. Please Sir, What is geometry again???

[jhoenedu]

I Love The Video It Can Increase My Knowledge Amazing technique for calculating easily in your head

[croncong]

Nice Video That You Share , So Very Nice Thanks You Amazing technique for calculating easily in your head

[fitnesus]

I Really Like The Video From Your Find out how to calculate 12 squared, 13 squared and 14 squared with this step by step video tutorial.

[lupabuatchannel]

Your Video Is Very Useful Sharing Amazing technique for calculating easily in your head

[chocokitty111]

crap this sucks like hell. asian doing this wont prove ur smart. asians r alredy smart so there's no point i proving it

[chocokitty111]

@chocokitty111 *in

[MrLynes5]

you guys make it to complicated just use a calculator like the rest of the world.

[hvdenb]

And when you add up X odd numbers starting at 1, you get X^2

For example

1 + 3 + 5 + 7 = 16

there's 4 odd numbers from 1 through 7

16 is 4^2

Practicality decreases exponentially as you add up more odd numbers, but this is something that I discovered myself at age 9 and I remember the thrilll this discovery gave me.

[TheUnPlayable]

Here is my technique to go from a square to another.

exemple: 34² = 1156 so what's 35² ? it's 1156+34+35 :)

That one was easy tho, it works better for bigger numbers :)

[Noji1010]

@waiotahi52

You can't divide by zero.

It's incalculable, you'd get 0.00000... A number that would stretch across the universe (actually further).

So @7TriangleofTrinity7 and your calculator are correct. The number of decimal places is infinity/undefinable/it never ends and you can't find how many nothings there are in something so instead of your calculator showing 'math error' it's '0'.

[Star4teen]

I figured out how to square numbers till 520,excepting those of the form x2y or x7y,still its cool

[Evandzt88Traceur]

thank you

[waiotahi52]

If I have 5 apples and I take away 0 apples I have 5, if I divide them by 0 I have 5 if I add 0 I have 5, if I multiply them by 0, I end up with fuck all.My calculator can't be wrong.This would prove that Stephen Hawking statement that before the Universe there was nothing, then it went bigbang into everything...but if you multiply 0 by 0, in an explosion,you get nothing........oh well,that's why he clever

[7TriangleofTrinity7]

@waiotahi52 Dividing by zero would yield an an undefined quantity (infinity), not 5.

[waiotahi52]

@7TriangleofTrinity7 There are three kinds of people in the world, those who can do math and those who can't. I am in the 3rd bracket.

[waiotahi52]

@waiotahi52 my calculator says 0

[gaussiann]

It is only useful when the leading digit is a 1 (12,13,14,...). The method works like this:

You have some 2-digit number you want to square. Let it be represented by:

10a + b

(So 14 would be a=1, b=4. And 15 would be a=1, b=5. Nice.) Then, the square of 10a + b is:

(10a+b)^2 = 100a^2 + 10(2ab) + b^2. If we get this with his method, then it is correct.

His method says that (10a + b)^2 is:

[ (10a + b) + b] * 10 + b^2

And this is equal to

100a + 10(2b) + b^2.

Thus, his method is only good when a=1

[764dak]

@gaussiann His method is similar to mine except mine's better. n^2 = (n+d)(n-d) + d^2.

Eg. Let n =13 and d = 3. 13^2 = 16*10 + 3^2 = 160 + 9 =169

eg2. Let n = 96 and d = 4. 96^2 = 92*100 + 4^2 = 9216.

Another method: (n+d)^2 = n^2 + d(2n +d) rewritten as n^2 = (n-d)^2 + d(2n +d)

These squaring tricks are nothing but manipulation of quadratics. I actually know two more ways of squaring but you're better off using a calculator.

[9308323]

@gaussiann Not really, this method will work on ANY numbers if understood clearly.

The algebraic expression to explain this trick is:

A^2 = (A + d)(A - d) + d^2

It is indeed fast with if the number you're squaring is less than 20, however, with enough practice, you can solve a much more complicated 2 digit (EVEN 4 DIGITS) in less than a FEW SECONDS MAX (I know, I'm one of those who can do it)

a really impressive but extremely easy number:

999^2=

(999 + 1)(999 - 1) + 1

= 998,001

[MaxPlank91]

@9308323 How did u choose d?

[9308323]

@MaxPlank91 You choose d by the distance (d stands for distance) to the nearest easy number (usually ones that is divisible by 10, doesn't matter. Either end works)

example:

93^2 = (93 + 3)(93 -3) + 3^2 = 8649 OR 93^2 = (93 - 7)(93 + 7) + 7^2 = 8649

You can also:

4267 = (4267 + 267)(4267 - 267 ) + 267^2 =

= 4534 * 4000 + [( 267 + 33)( 267 - 33)]

=18136000 + 71289

=18207289

Like I said, the value of d WON'T MATTER as long as you don't confuse the value to anything else.

[MaxPlank91]

@9308323 Oh Ya.,got it. Didn't think.. It was right there... Thanks anyway..

[rabaduej]

@gaussiann haha, fail ^^ very wrong man



[Stargazer7121]

Meh...it only works for squared and is loses its usefulness as the numbers get bigger. Easier just to memorize the answer.

[sallamabd]

it looks kinda hard this way but it's sooooooooooooo easy when u try it ur self 8D

[rocksmas]

good

[Yungxak]

Interesting, but it breaks the logic of the system as you get higher. try triple & quadruple digits.

[Lucroq]

@Yungxak

No. The System is x²=(x+(x-10))*10+(x-10)² which is always true.

It's just not useful anymore when you go higher.

[Sumanth575]

hw can u do 25 square....????

[CallieWaggers]

20^2

20 + 10 = 30

10 x 10 = 100

300+100 = 400

[suddenpee]

Lol this method is harder thn just multiplying out

[antetwra]

not for all numbers

[MrTomkaboy]

I KNOW A GUY BETTER THAN HIM... THIS GUY IS 42 .

Lives in a poor Village in Albania, he can calculate 20 digit numbers.. dates in days hours and minutes.... he have been depressed bcs of his friends forcing him.

in the village of Varibop,Mallakaster Albania.

he's called Fatmir.

[warchife6]

Bet this guy is asian!

[lavania7]

@warchife6 its a vedic math tech...its an indian thing

[HakitoJin]

@warchife6 He isn't asian, he's from Ireland...

[topolino70]

Seem to work only for numbers 11-19

[nethanbabes]

Will it always work? Math is ALMOST never the same..

[awaqar]

@nethanbabes I have discovered a method for finding product of 9 and any two digit number without involving any multiplication. Please check out and comment

[nethanbabes]

@awaqar Im going to have to turn ur offer down..

[awaqar]

@nethanbabes Come on... No harm in trying...

[nethanbabes]

@awaqar No harm in not trying..

[awaqar]

@nethanbabes Good one! I give up! Yes no harm in not trying!

[xXnukerrrXx]

dosnt work for no. like 25

[rsuryatheja]

@xXnukerrrXx For all numbers that ends with 5, here is the formula to calc square.

Let number is a5. Square is a*(a+1) and add 25 at the end.

Eg:

25 square = 2 (first number in 25) * 3 (first number in 25 +1) = 2*3 = 6. Now just add 25 at the end = 625. another eg..

35 square = 3*4 = 12, add 25 at the end = 1225.

45 square = 4*5 = 20, and 45 square is 2025.

so on..

[rsuryatheja]

i am from india, i have been using this method since my childhood..

[12345678929415]

dis is so fuckin awwsome!!!!!!!

[youGotslapped100]

nice=)

[2tame4fame]

Broke down TO 14 square.

[2tame4fame]

The formula just broke down a 14 square. LOOL!

[ThomasBHofSoCal]

Thanks for the lesson.

[Cathiine]

hm, so you just add + 3?

[N0MatterWh0]

Now you make it look like you can always use this method!

That simply isn't the truth, let's take a number which is not below 20, than this doesn't work at all.

This isn't a technique but pure coincidence.

[Pwnableful]

How i have to do when i take the digit 37 :D?

37+7=44

7*7=49

How i have to calculate ?

[Mist3RC0ndom]

@Pwnableful let's say 37=x

x-10=y and x+y=z

z*10+y*y=square x

[Pwnableful]

@Mist3RC0ndom

But there is another way, which is easier., than the one, you mansioned.

37+7=44 

44*3=132

7*7=49

132+49=1369

:D

[Mist3RC0ndom]

@Pwnableful lol but this method seems to be the same as 37 * 37 :O

[junaidtanoli1]

I already knows these calculations :D dont need a calculator even

[crazywzd]

No, It should be taught as 12X12= 12x(10+2)= 120+24=144....This method is simple and straightforward.

[yashrockstar123]

Asim trik. Will help me in ma exams.....

[satishkumarcmr94]

Excellent...............

[oisin678]

formula: a^2+b^2+2ab

=a(a+2b)+b^2.

The application is shown in this video.



[histrion2]

@jshowa2 Well, if this is the only "trick" you have, yeah. As described, this particular technique is only practical for numbers from 11 - 19. There are other tricks once you get outside that range, I'm sure. ;-)

[UnleashedFire]

interesting

[MJIsAlive100]

now try find something that works with cubes

good tho

[shnutzer]

Nice! It was easy to figure it out for all the numbers, even 99. For me, it's practical and I'll definitely use it on Maths lessons.

[b2e2n2c2]

Someone please tell me if i'm wrong, but for 25*25: 25+5=30 and 5*5=25, so answer would be 325, but 25*25= 625. This method only work for numbers 10-20, after that the answers are just increased by 100, e.g using his method: 11*11=121 (correct), but for 21*21 (21+1 & 1*1)= 221, the correct answer being 441.

[histrion2]

@b2e2n2c2 The stated method still works if you extend it correctly. You're right in a sense: the method only works *easily* for numbers from 11 - 19. But if you really wanted to use this method to work out 25², you could think of 25 as being 15 more than 10.

Keeping that in mind, your two digits are 10+15+15 = 40. Then you have to create the last digit from the 15²... but since 15² = 225, you have to write down the 5 and carry the 22. 40+22 = 62, ergo: 625.

[SemiAquaticRhino]

@histrion2 15^2 = 225 15^2 ≠ 625

[histrion2]

@SemiAquaticRhino Yup, I know. Read what I wrote again. :-) The question I was addressing was whether the method shown in the video could be used to calculate 25² (which = 625). In the process of showing that the method was valid (if clumsy), I calculated 15² = 225, and the 22 gets added to the 40 to make the "62" in the 625.

[SemiAquaticRhino]

@histrion2 sorry about that; i read over it and thought you were trying to say 15^2 was 625. then, when i read it again after commenting, i realized that i made a mistake and then accidentally pressed cancel instead of remove after i had already posted it. so, i tried to delete it after i realized my mistake, but i didn't delete it properly. my bad.

[histrion2]

@b2e2n2c2 [cont'd]. For 21², 21 = 10+11. 10+11+11 = 32.

11² = 121. Keep the 1, carry the 12 onto the 32: 32 + 12 = 44

Ergo: 441.

It still works, but once you get past 19 it's a lot less practical.

[b2e2n2c2]

@histrion2 Ahhh, i see now, thank you. The maker of this video should probably have explained it themself though. Thumbs up.

[HGozzer]

@histrion2 - For 21², my thought is a little bit different from yours... I think it's more practice and easy...

As the video, I did 21+1 = 22, multiply this by 2 = 44

And 1 x 1 = 1

Result: 441

For 31², is the same, 31 + 1 = 32, multiplied by 3 = 96

And 1 x 1 = 1

Result: 961

For 32², the same; 32 + 2 = 34, mutiplied by 3 = 102

And 2 x 2 = 4

Result: 1024

[HGozzer]

@HGozzer - I've just thought about it... But I think it works for every exponential number...

[histrion2]

@HGozzer Yup. :)

[hiteshbairathi2]

@HGozzer You are awesome Man Love you..!!!

[broholm88]

@HGozzer For numbers close to round numbers I personally find it easier to simply do:

22*22 = 20*24 = 480, then add the square of whatever you went up and down here its 2^2 so add 4.

31 = 32*30 = 960 plus 4 = 964

Nice vid!

[dizupper]

@HGozzer The same for 20 and 30, I guess, I usually do it this way 32x32=(30x30)+2(30x2)+(2x2)

[gwpotgieter]

@HGozzer 32² is actually (2^5)² = 2^10 = 1024 :)

[goku1phat]

i never know this before thanks!!! :D

[moneys97]

Get a Book and memorize the squares and cubes atleast till 20 i say !

[Ch0c0Face]

The astonishing part is how you can draw numbers so well using your mourse.

[copssss]

@XFreddyFoX

Nah if u watch how he does the 14 trick, you'll see that you have to add the second number with the third so in your case thats

15+5 = 20

5*5 = 25

0+2 = 2

so you end up with 225

[BBuddhaPest]

now i know why asians scarcely win fields medal. when western people think of more efficient and creative way to calculate, asians just do sums in their head. it's not a joke. i know about asian math as an asian.

[NaziCheese]

@BBuddhaPest

I would take mental abacus calculations over thousands of little nifty "western" techniques any day. It's a waste of time trying to remember all the lame tricks that only work in some situations. Even with the technique in this particular video, the uses are limited. (Its easier to just memorize the squares of 10-30.)

[BabyCanaryYelllin]

WOW -- I actually understood it until the LAST one! But that's good by my standards :-).

[gogoteca]

Amazing, i went from nyan cat to mind tricks. I love youtube.

[BabyCanaryYelllin]

@gogoteca i LOVE YOUTUBE too

[Pazma1]

@gogoteca

lol, I went from math tricks to nyan cat and back to math tricks.

[Tigerdesh]

How about just do 12*10 and add 24?

[TomTomG00]

not useful with 88² :/

[TonyF273]

nahh i'll use a calculator..

[taghazog]

@TonyF273 nah, i'll use a brain.

[Gytax0]

Thank you.

[daelohmen]

that was really cool..nobody showed me that b4 u and everything nobody tells me i forget lol

[Guitar56561]

I NOW THE ANSWER ITS 3! :D

[HeySukar]

the easiest method : calculator!!

[lemmelul]

A farmer is taking his eggs to market in his truck, but he hits a very large pothole on the way and the concussion knocks over all the containers of eggs. Although the farmer is unhurt, all the eggs are broken. So he goes to his insurance agent, who asks him how many eggs he had. He says he does not remember, but he does remember some things from the various ways he tried to pack the eggs into the truck. He knows that when he put the eggs in groups of two, there was one egg left over.

[lemmelul]

When he put them in groups of three, there was also one egg left over.The same thing happened when he put them in groups of four, five and six. But, when he put them in groups of seven, he ended up with complete groups ofseven with no eggs left over.

Your task is to answer the agent’s question.

Bonus: There is more than one answer to this question. Each addition answer will be worth 1 point (up to 2 extra points allowed)

I need help plz.

[shamrpotato]

@lemmelul the answer is 301

[CookieAddictUya]

actually you can do this with any number

(24(squared) 24+4=28

then multiply this by the first number, 2 in this case. 28x2=56

now do the last part as you normally would,4x4=16

add it in and you get 576

[farhankhanzada1]

nice

[henrijs1999]

NICE but that doesent are cool(that sucks)

[lennyw99]

only works for numbers up to 19x19, so not that amazing

[drzetoni]

Men you are genius!!!

[joakimefrandsen]

Just use a freaking calculator.

[360quickscoper]

This is the easiest trick that not a lot of people know about. You can use this method with single and two-digit numbers.

Ex.

22 x 153

Divide 22 by 11 and you get 2

Divide 153 by 11 and you get 13.5

Now, 2 x 13.5 = 27

This cuts the numbers down fast for you.

[veryfatal]

Hey everyone I just finished creating a math tricks website for those who need help improving mental math and basic arithmetic skills. Please check it out and let me know what you think of it. My site is mathtipsandtricks . com

[MarkKronenbergNYC]

Look up "Math 1-2-3 Intro" for private home math tutoring.

[alexpinho98]

this one is better like

17x15=15x10+15x7=  15x7=7x10+7x5=70+35=105

=150+105=255

It works with every nunber

Try the mentaly: 28x13

[alexpinho98]

this one is better like

17x15=15x10+15x7=  15x7=7x10+7x5=70+35=105

=150+105=255

[checker747474]

i had to do that in school -.-

[boxsaspen]

Doesn't work above 20...

[Shaun17170]

What was the point of that? that was a no duh!

[faucillon]

@Shaun17170

For you perhaps. And no i'm not a complete idiot with absolutely no mathskills.

I've studied Latin-Mathematics for 4 years and am now studying applicated psychology (which requires a lot of data-analyses)

The connections between numbers are uncomprehensible for those who aren't 'wired' to see them. People have different types of abilities thus costing the capacity of being excellent in other fields. This principle explains the existence of savants that are able to say no duh about

[faucillon]

@Shaun17170

about the most peculiar things.

To describe it visually you'ld have to visualize abitlies in a circular pattern. The more you're in the center...the more your able in all fields. The further you move away from that center to the exterior the less you are able to do things other would be able to but the more impressive your abilities would be concerning the thing you are positioned at.

YOU may be better at math...thus causing you to have less talent in language than others.

[faucillon]

@Shaun17170

I for example didn't make this connection myself. But I did manage to learn 3 languages at school (not counting latin of course) a 4th one i learned without any books or teaching but by adapting my knowledge of the 3 other languages. In other words I taught myself Italian by looking at the connection between Dutch, English and French. (Given i based sometimes on the Latin vocabulary residing within me.) All of this happened at the age of 16.

i'll ad that i took an exam an passed.

[faucillon]

@Shaun17170

(ad = add, an = and)

To answer your (retorical) question.

The point is helping the people out that are further away from the numerical connections (as described below in the circular visualisation).

Don't jump to the conclusion it's simple, because others might say the same thing about things your brain cannot process on it's own.

All thinking processes are hard for those not gifted in that area.

That does not make them less talented on the whole.

[faucillon]

@Shaun17170

Also I might add.

No, learning 4 languages isn't much. That's because I'm not a genius in this field as others who learn over 30 languages are, however I dare you to ask them complex mathematical questions.

Let me add that I now am 21 years old, learned 2 more languages and i'm currently learning 2 more after which i would go on with learning Sanskriet and Arab.

So no I couldn't see the connection, but I bet you couldn't do this.

[slamgirl09]

hye ... what about 23^ ? it is still the same way .?

[2hearkpop]

Heres a solution, use a calculater, now anything is possible :D

[BobByler]

"Vedic Math Calculator" Try any number and find tricks to solve it @ maths.kuchnaya.com

[Baccababa1]

fuck maths.

[mathmatchpoint]

If you want to become good at math go to my youtube channel: (Mathmatchpoint). In my channel I will teach you everything about math step by step. I will start with teaching you (The Important basic math skills) and then I will teach you the more advanced math topics. Just click on Playlists when you are on my channel and you will be able to watch my math videos in order. I promise that I will teach everything in an easy way. Math is easy if you have a good teacher.

Mathmatchpoint



[TharkyKeys]

13*13=(10+3)*13=130+39=169 .... easier method for calculating ALL squares. just use easy numbers like 10, 100, sometimes 5, etc. and multiply it easier...

[Japenha]

for 89^2 this simple method turns into: ((89+79)*10) + (79*79).

doesn't seem so practical.

[joshuaissac]

0 *is* a whole number (integer), but there are negative integers as well, so you can't really say "the first n whole numbers" because that would be -infinity*... or something.

[edonisce11]

WOW cool

[Neties]

421^2=123456789987654321

[youlovemathematics]

If you want to become good at math go to my youtube channel: (Youlovemathematics).In my channel i will teach you everything about math step by step. I will start with teaching you (necessary basic math skills) and then I will teach you the more advanced math topics. Just click on Playlists when you are on my channel and you will be able to watch my math videos in order. I promise that i will teach everything in an easy way. Math is easy if you have a good teacher.

[SWALLOWYOURTONGUELOL]

@BoneBaron Actually, it's neither of those. 0 is not a whole number but 1 through infinity is. therefore 1x2x3x4x5x6x7x8x9x10 = 3628800.

[TheCaoth]

@SWALLOWYOURTONGUELOL Actually 10! is correct. 10 with an exclamation mark (10 factorial) means exactly what you wrote :)

[BoneBaron]

mother asked me "what is the product of the first 10 whole numbers?" because she answered it for a grade school kid and came up with 10!. I say it's 0 because 0 is a whole number if you say 10! then that would probably worrk if it was the first 10 natural/counting numbers. So what do you guys say? which one is correct 10! or 0?

[ZeroGravity126]

on 13^2, where did u get the 3 from when u add 13+3?

[PianoGirl555]

@ZeroGravity126 you multiply the same number twice

[ZeroGravity126]

@PianoGirl555 alright thx

[bearfromalex]

nice one

[KuoTaru]

агттн щту

[furtherbeyond]

I had figured that method out on my own in high school.

[RigonMetaL1]

GeeeniiiiaaaaaaaaaL

[hansjekager]

@RigonMetaL1 nederlands!

[aljaz2000]

so can u use this method for more that 2-digit numbers?

[tretey]

Smart!!

[AtomchildMusic]

There's a much easier way, but you're kinda getting on to it.