Fun Math Trick! Squaring Numbers Near 100

[ShaDiaCla]

math seems pretty easy for you!!!!! just amazing!!! and thanks for sharing ur knolege!

[wade9638]

wow hes really really wiked 5 hours later realy wiked smart

[PhreshNess99]

This is just too awesome xD

[BlooDish14]

whats the funny part

[fukuda20]

nice nice XD

[mayrakaryn]

omg

i learnd alot

[flamesdemon19]

These numbers were the first devil tought to his son.lol

[SandBfilms1]

i want math not METH u idiot

[addisonwattz]

This is so hip!

[blackphoenix1207]

so cool

[danielm9876]

(100+n)^2= 10000 + 200n + n^2 = 100(100+2n)+n^2

this is easy to prove

[torontorailfan]

6 people failed their latest test

[MrTreantHugger]

It also works with the thousands. 1003x1003 = 1 006 009

[Kamshak1337]

can you make a vid with a proof od this? I don't see why this works :S

[Bludgeoned2DEATH2]

@Kamshak1337 Dont worry about why it works, just be happy it does work.

[Montyleeny14]

You should write your 6s properly, they look like number 4s. :-)

I write my number 4s similarly to how you write a number 6.

[dennisrules94]

@I3uttSweat

he's basically saying, shut the fuck up and that ur a faggot, or at least that's how i interpreted it

[sagar2807]

Interesting video.

[tatessss]

what are the numbers we can square using this trick?

[guitarnublet]

I'm gonna remember these! I'm studying to be a maritime officer, and ship stability often involves formula's involving these. Might be very useful.

[I3uttSweat]

@98LetsWatch good point.. uhm I don't know what so say right now lol. perhaps, just perhaps they accidentally came here, and they're pissed that they came to this vid instead of the vid they wanted to see

[patrickJMT]

@I3uttSweat sorry, no justin beiber here

[I3uttSweat]

@patrickJMT how do you mean: "no justin bieber here"?

[I3uttSweat]

@98LetsWatch 6 people just don't like math, it doesn't mean they have no brains

[Bracia12345]

if you did math at the university, then you should know that for example 112 squared is not put in brackets as it is one number.

duh!

[RawrKIB]

What degree did you do at university PatrickJMT? If you don't mind answering.

[patrickJMT]

@RawrKIB math!

[RawrKIB]

what degree at university patrickjmt? 

[BoPeepProductions]

That's really neat. This trick, in fact, works for numbers from 50 all the way to 150, but as you get farther and farther from 100, it gets less and less useful. [50 is -50; 50-50 is 0; (-50)² = 2500. ] (that's not very useful!)

[ace543]

I saw a maths trick once where if you want to know if a number is divisible by three. You add up all the digits, if they are divisible by three so is the original number.

so 19764 => 1+9+7+6+4=27...so 19764 divides by three :D

[Paulxo]

Actually you could square any number in a similar way, they don't have to be near 100. for example, 35^2 = 3 x 4 + 25 = 1225. In my new course :)

[aveceacar]

just great!

[sk8rdman]

Wow, that's an interesting trick.

I came up with a formula for easily squaring double didgets in one's head.

x^2=(n^2+n(x-n)+x(x-n))

x is the number that you want to square, and n is the a nearby number that you already know the square for. If x=57, then n might equal 60 or 50 because it's easy to find their squares. (3600 or 2500)

It may look complex, but it's really easy to figure out and with a bit of practice it's easy to remember and you can amaze your friends.

[MerryMaryAnn07]

when and how do you know you have to carry a number??

[sk8rdman]

100 has only 2 extra zeros, so when you add the square of the difference between you're number and 100, only the last 2 didgets of that square remain the same. Any didgets before that are carried over to their appropriate places and added.

[GreenHusk]

cool

[danslatente]

Whoa... these little tricks still blow me away. Nice.

[ultimage7]

Ownage :D

[1990Link100]

Very neat trick. I squared the numbers on my calculator and tried them the way PatrickJMT did it, and they were the same.

[RunTooFree]

Hey Patrick, Do you believe 0.999... = 1?

[realblublu]

I'm not Patrick, but I believe I can answer that. He's not an idiot, so yes. It is a provable mathematical fact..

[RunTooFree]

Hey, no offensiveness at all, many people don't believe 0.999... = 1, and I am one of them. No doubt, Patrick is a smart guy, that's why I would like to know his point of view of 0.999... = 1. Just thought he might be able to show a proof of 0.999... =1 video on that.

[realblublu]

It doesn't matter what anyone "believes", it's simply a provable mathematical fact.

[danslatente]

LOL....

0.999... does equal 1, because if you follow the pattern: 1/9=0.11111....., 2/9=0.22222.... and so on, then 9/9=0.999999999...=1

[crutches15]

Now that's just a retarded proof. Just because the preceding approximations follow a seemingly similar pattern, it will never make 9/9 = 0.9999. It's exactly 1.

[robev33]

For two numbers to be different you would be able to find another number in between them. This cannot be argued. 2 and 2.1 are different numbers because 2.01 is between them. 2 and 2.01 are different because 2.009 is between them.

So a simple proof that 0.999... = 1 is that there is NO number in between the two of them, because the 9's go on forever and never stop, NEVER stop. So they are the same number.

The same logic means that 1.999... = 2, 3.999... = 3 and so on. This is mathematical fact.

[hatimali04]

don't you mean 3.9999...=4? Or that 2.999... = 3? LOL I still understand what you meant ;)

[sk8rdman]

You make an interesting point, but I wouldn't go so far as to say that 0.999...=1 because on a graph if x=1 is a hole or an asmptote, 0.999... can equal x, but 1 can not.

[robev33]

Um no, you are assuming the two are different. Since they are in fact EQUAL 0.999.... CANNOT equal x in your example. You can enter 0.9999999999999999999999999999­99 in the graph, but the ... means the 9's never stop, EVER.

[sk8rdman]

As much as I hate to admit it, you're right. 0.999... can't be graphed.

You're arguments; however, have lead be to the point of saying that no irrational number can be placed on a graph. 0.333... allegedly equals 1/3, but I would argue that it never truely reaches 1/3. it is simply the closest decimal in existence to 1/3, and so we say the two are equal. Similarly, 0.999... is infinitively close to 1, yet not equal. 1 is already a decimal. When would one ever need to use 0.999... rather than 1?

[LammonNomaer]

@sk8rdman Actually, 0.999... can be graphed because it is exactly equal to one. There is an easy proof to this, and here is an overview of it:

Let the variable x = 0.999...

Therefore, 10x = 9.999...

10x - x = 9.999... - 0.999...

9x = 9

x = 1

Since we found that x = 1 by initially stating that x = 0.999... we know that they are equal.

Therefore:

0.999... = 1.

[sk8rdman]

@LammonNomaer

I still don't agree with that proof. 0.999... is an irrational number. Because it it's didgets never end, it has no definite value. 10 can not be multimplied by 0.999... without rounding it off at some point. Irrational numbers can't be multiplied exactly. 0.999... is infinitively close to 1, but not equal. It isn't equal to anything, it's irrational.

[Btwiceborn]

@sk8rdman

think of this proof.

you agree that 1/3 = .3333...

and 2/3 =.6666...

you probably are 100% sure that 1/3 +2/3 = 1 exactly.

so that means that .3333... + .6666... = .9999...

AND .9999... is exactly = 1.

[sk8rdman]

@Btwiceborn

The flaw in your theory is found in your assumtion.

I don't agree that .3333...= 1/3, at least not exactly. As I said above It's irrational, and can't equal any rational number. Infinitively close, but not equal. .9999... does not equal one. One is rational, .9999... isn't. An irrational number can't equal a rational number.

[patrickJMT]

@sk8rdman .33333.... is not irrational. .3333333333...... is very much a rational number. likewise .9 repeating is rational. .9 repeating can be written as 1/1

[sk8rdman]

@patrickJMT

Upon further investigation I've found that your argument holds some truth. By most definitions, repeating decimals are considered rational numbers. Nevertheless, I still argue that nonterminating decimals can't equal teminating decimals.

According to your arguement that 1=0.999..., 1/0.999... should equal 1. Correct?

This, however, is not the case. 1/0.999...=1.000... where 0 never teminates.

Nonterminating decimals have no finite value because infinity is not a finite number.

[patrickJMT]

@sk8rdman by ALL definitions, repeating decimals ARE rational numbers. period. end of story. it is not a matter of opinion.

[crazycake93]

@patrickJMT Agreed, you cannot change the defenition of it when its been proven many times. and used in computer models, that are sucessfull.

[DemonScholar]

@sk8rdman Also 1.000... = 1. That is the definition of a terminating decimal (infinitely many zeroes after some point). As such: 1.25 is 1.25000... goes the same way for the integers as well. ...001=1. ...00010=10. It is just too cumbersome (and impossible) to write infinitely many zeroes. So remember the important place holder symbol representing nothing at all, i.e. ...000.000...=0.

Om Shanti :)

[MRIYBR]

Lolx.... a fine thing.

[yassin908]

hmm! its interesting

pls keep posting math tricks

[realblublu]

Neat trick, though its practical usefulness is kinda dubious. :-)

[saabstorey]

what do you mean? do you mean to say that relying on a calculator is practical? because you would be wrong in so many ways.

[realblublu]

No, I'm saying, how often do you really need to find the square of a number near 100? Not very often, and when you do, it would most likely be just a small part of a bigger maths problem. So you would most likely have a calculator anyway, in which case it's much quicker and easier to just punch in the numbers. Calculators, and computers are so ubiquitous nowdays. If you are the type of person who constantly need to do a lot of maths, you WILL be carrying a tiny calculator ALL the time.

[tombert256]

This WAS mildly entertaining!

I'm kidding, this was awesome. I've always enjoyed these little math facts.

[patrickJMT]

me too  : )

ultimately, i am a lazy guy - this helps me be more lazy (ie, faster!)

[colonelmatterson]

awesome possum

[ContraWagner]

sweet

[HeyWheresKel]

neat!

[Juggernaut3456]

loved it.

[AsianCynicist]

these kinds of tricks always interest me because the proof normally functions in a different way compared to most other proofs

[Souliee]

Really good one, love to get to know some tricks! :D

[damianwba]

tnx JMT

[jasoncboy888]

what about something like 200, 300, 4000? same idea?

[kikanqa]

cool trick..im trying to get my mind ready now that school is just around the corner!!!

[Darkcurse101]

this is indeed brilliant :) .. i like this one :)

[danielle002]

wow thats so cool!! Thanks so showing us!

[yaguang]

Dude! You're a genius!!

[patrickJMT]

i thought of this in a dream .... i bought the book in a dream.... and it was all in there.

[atomo360]

thanks patrick! perfect! now maybe I can actually impress my calculus professor without wearing funny clothes! yay!

[mango0munky]

this is so neat. it never occurred to me that this kind of trick exists.

thank you.

[blazeNdrink]

lol i love stuff like this cuz when other people dont know the trick they think ur somek ind of genuis

[cryingviolinist]

that was brilliant

[mdjey2]

I figured out how it is with larger numbers. But then without calculator it's too hard.

[plastiKreal]

Cute...

[EmpireZ0S0]

Thanks for the video! It's always neat to learn little things lke this. =D

[Archer6633]

dude you're so nice for making this videos, really.

[tuestresfat]

you should definitely post more vids like this :D:D

[srslayerz]

Crazy trick! Thanks! does anbody know how to impress people with this? would you say "i can square any number close to 100"? That sounds a bit sneaky..

Also, how close to 100 will the numbers have to be? + - 20?

[MickeyMouseFan11]

lol was wondering the same thing...anyways, very cool trick!

[patrickJMT]

well, it works until your squaring abilities no longer work....

to find:

(125)^5 you would need to know 25 squared!!

(625)!

[srslayerz]

thanks a lot patrickJMT! You rock :)

[Thermalburn]

this is pretty cool! My math professor is a real "nerd", so he'll enjoy it alot when i show him :)

[kittymiittens]

omgeee..dis is sooo kool!

[smergibblegibberish]

I like this kind of stuff.

[MorpionQC]

lol, how to impress peeps 101

[thelastwords]

Cool trick.. what book?

[CMONEY4REAL]

that was very cool

patrick you are the best!

[ZergFireX]

Lol, epic win. :D

[Taxi10152]

thats cool.

exactly how far can you go eith these numbers tho.

like 20 or 30 away from 100?

[patrickJMT]

try and find out... : )

[MrXZodiacInfinitY]

so if it's 10+ or - 100 then you carry?

[patrickJMT]

yes!

[lover2you]

cool.

[blueyestlk]

ooh, love it

[yellowmellowzz]

yay :D keep em coming!

[Kakashinoor]

What book is it?

[prettyenuf4u]

cool...

[MustNotRead]

they're not "tricks", they're just coincidences :P

[patrickJMT]

well, they are not really coincidences either...

but consequences!

[mentor32]

Nice maths trick, just one query when u did the 3rd example: (112)2, u squared the 12 at the bottom, which u indicated with the red outline, but in the previous two examples u squared the number at the top. I know they was both 12's so it didn't matter, but it's still important to know which one to square. so top or bottom? good vids :-)

[patrickJMT]

you determine how far away the number that is being squared is away from 100, and square that number!

so since 112 is 12 away from 100, you square the 12

[videoofmike]

wow, nice!

[Justice4x]

daammn thats some dope method

[Syruscleat]

I always find math tricks entertaining.  Good show mate! Keep up the good work...