Fast Math Trick

In 5 mins reprogram your mind to calculate fast. Impress others with your super-fast mental mathematics. Visit for more www.glad2teach.com

[@glad2teach]

Dear Dico for mentally doing 23^2 use the Base20. See the 3rd vid on Glad2teach website (link given below the vid above) 23 is at the distance of 3 from Base20 ( pls note that this distance 3 would be added initially and later its square would get added) Here I go step by step Step1: Add that 3 to 23. You get 26 (or 260) 0 indicates that one more place to go. Step2: Now double up 260 and add to it square of that distance 3 (that is 9) 520 + 9 = 529 (ANSWER) Shahryar (Glad2teach)

[@glad2teach]

Drew2pac, thanks for adding your valuable comment !! Once again let me emphasise that knowledge is a Collective Heritage of our entire "Human" Race. As an Indian I am proud of what my Indian Ancestors have achieved but not in an arrogant manner. I am trying to make my own humble contribution to this ocean of knowledge on Mathematics. Rgds Shahryar (Glad2teach )

[@glad2teach]

@DanandDonna1 , thanks for pouring your heart out while writing your comment. Math if learnt the right way fills you with pure excitement and tranquility at the very same time. I wish to take you and other people who are struggling with Mathematics into the magical world of numbers. A guided tour till Infinity and back. Once the human mind gets the real taste of Mathematics then it keeps craving for more. Math is the workout for your brain ... it is addictive .

[@glad2teach]

Dear Chamillionaire993, I use just 2 EasyCal techniques to perform all my multiplication mentally. 1) Base Multiplication 2) Rainbow Multiplication If the given number is far from any Base then of course you need to use Rainbow Multiplication. See the Video Response I have attached below. Incidently I was given the number 67 to multiply mentally in a Live Seminar ( see the video below ) Shahryar (Glad2teach)

[@republikan]

Dear math teacher, I love your youtube videos. I'm really grateful someone like you exists out there and is willing to share his knowledge with others. Thank you !

[@harmanpreetsingh3818]

and become a hero on class

[@sarojbala4497]

I HAVE SEEN THIS TRICK 1ST TIME AND YOU ? kzbin.info/www/bejne/jp6ceIh5iZmph6c

[@glad2teach]

Stefan, 116 square can easily be calculated with Base Method I have shown above. 116 is at the distance of 16 from our base100. So 116 + 16 = 132 _ _ ( two more places to go) or 13200 Now we just need to put the square of 16 in those empty places ( in case you do not know then you can use base10 to calculate it to be 256 ) So 13200 + 256 = 13456 ( Final Answer) Watch 3rd EasyCal video on Glad2teach site to learn this Base Method (link given below the video above) Shahryar (G2t)

[@glad2teach]

Dear hammas74, to see how to square the numbers near Base 50, see the 2nd video on Glad2teach website ( link below the video above ). 45^2 45 is at a distance of (minus) 5 from Base 50. So subtract that from 25, you get 20 _ _ ( you get first two Answer digits ) Now for the last 2 Answer digits, simple write the square of that distance (minus) 5 That is 25 So the final Answer of 45^2 = 2025 ( Ins't that easy !! ) Shahryar ( Glad2teach )

[@miracleman1234567]

You should have ended the video with: "Thank you, come again!"

[@kurax9115]

or You can Do it with the binomic formal : 104^2 (100+4)^2 100^2+2*100*4+4^2

[@jayg2692]

is that the shitty common core way? if so then im not using that

[@raghavinder2161]

No both methods are wayyyyyy beyond core standards

[@sciencehelp9693]

Are you crazy it will take more than 5 sec bro!!

[@kurax9115]

@@sciencehelp9693 not for me

[@DanandDonna1]

i love your enthusiasm for math. This subject I can never understand and never will. Parents didn't care much to help and when one of my parents tried to help, she ended up screaming her head off, day after day because I don't GET it. Asked teachers and was lucky to get a minute with them. The school system failed me back then, 40yrs. ago, and doing worse now. That's where it lies.

[@glad2teach]

Glad that you liked this Easycal techniques ( from ancient Vedic Math of India ). This technique is called Base Multiplication. "Base" is a friendly number whose reference we take to multiply the unfriendly numbers close to it. Usually the powers of 10 make a good base ( like 10, 100, 1000, 10000 .... ) and so do some multiples of 10. To learn how to use easily other bases watch the 3rd EasyCal video on Glad2teach website ( link given below the video above ) Shahryar (Glad2teach)

[@LulabelleBee]

This is AMAZING! Thank you , thank you, thank you!! This is going to help me out in my GCSE's and in general life so so much! :D

[@satrudhan8535]

kzbin.info/www/bejne/fKOvaZqnqJd1btk

[@IslamJourneyToTheUnseen]

omg thank you so much for this! amazing

[@steven5127]

@Stoners Club Records don't worry bro every youtuber has a secret power and mindsets

[@midifromhell]

This is an application of the formula (a+b)^2 = a^2 + 2ab + b^2. We just do 104^2 = (100 + 4)^2 = 10000 + 2*400 + 16. A similar example is 49^2 = (50 - 1)^2 = 2500 - 100 + 1 = 2401. Numbers closer to 100 work well because how well they fall into place.

[@rakeshanand2008]

I was looking for few videos for fast calculation. I am happy that Glad2teach is one among them. One thing I liked the most is the emphasis given on the word mentally.You guys meant it and stood by it. There are other crap videos who show complex methods and calculating in their method requires pen paper.I am interested for methods where I do everything mentally. Keep it up!!!

[@dan-956]

This is somewhat useful, but it becomes utterly pointless when your numbers go beyong the twenties below or above the 100 mark, as it requires increasingly difficult head multiplication. Not to mention it doesn't work for numbers below the 50 mark.

[@pedrocortes1]

that was sick! now I will show my friends about it and they will be super amazed

[@shadowx8534]

lol

[@tasneemahmed5821]

Don't show them. The less people who know, the better.

[@NarendraKumar-zs6tz]

SHADOW X h

[@LaPiNcHiPiTa]

@glad2teach i second that .... math is addictive when you understand it and you want more out of it. Also, TEACHING math is another one of my addictions!! Thanks so much for all the shortcuts!!! keep them coming :-P

[@alphaomega9656]

It is been three years i have been as your fan..Satisfy and friendly Hats off you

[@laelo9]

if da number, like previous comment, does range from 20-89, what do u do

[@elahion9963]

Jelani Mays-Smith nowork

[@rubanashaikh4995]

ur all the tricks are awesome and so easy but caN U ALSO GIVE ME A TRICK to remember all the trick for different sums

[@glad2teach]

CharlesIddesleigh, thanks for expressing your kind gratitude. 'Thank You' goes a long way. You should watch all the EasyCal videos on this KZbin channel and also there are 3 more free vids on glad2teach website (link given below the video above). You can build a strong foundation in fast Math. There is a paid tutorial as well ( full EasyCal Series on faster Arithmetic & Algebra) if you later become keen to take your skills to the next level. Best Wishes Shahryar Badar Khan (Glad2teach)

[@glad2teach]

Dear eyeliner12sd, you have made a great start in Mathematics. Keep this momentum of learning going by regular practice. Soon you would become fluent with numbers. All the Best Shahryar ( Glad2teach )

[@roberttimmins415]

genius!

[@fromthegods78]

I was like 1016 no wait 10016 FUUUUUUUUUUUUUUUUUUUUUUUU

[@rockilike8071]

how u get 1016? when 100 x 100 is 10000. here is easy method 104 x104 4 x 4 = 16 100 x 4 = 400 x 2 = 800 (x2 because there are 2 100s and 2 4s) 100 x 100 = 10000 10000 + 800 + 16 = 10816 u can also do this way since 104 is close to 100 104 100 +4 100 +4 now if you add +4 to original number it will become 108 and 4 x 4 is 16 so answer is 10816

[@HumbertoFioravanteFerro]

The title of the video says everything: it is about tricks, a kind of heuristics that you can use to solve real-world problems. Hence, they are quite useful - I can't think why someone would waste his/her time to attack a video like this! Our friend Shahryar is doing a good job by teaching these techniques for us!!

[@glad2teach]

You should use Base50 to square or multiply any number near 50. See the 2nd EasyCal video on Glad2teach website (direct link given below the video above). Shahryar Badar Khan(Glad2teach)

[@54KardTricks]

I did 103. So I did 103+3=106. So first 3 numbers is 106. Then 3^2 = 9 then I got 1069 as my answer, but it was actually 10609. Help please

[@shinebactol761]

103+3=106 3*3=9 always remember that 100 has two zero. 9 will become 09 then you will got the answer . 10609

[@54KardTricks]

OOPS, and thanks!

[@glad2teach]

Thanks for keeping the discussion erudite Ancient works of India I have referred to above were in Sanskrit (one of the oldest Languages). These books were translated in Arabic by great Arab Scholars like Khwārizmī (aka Algoritmi) & Al-Biruni which were then translated into Latin (English) These Arab Scholars gave credit where it belonged & called it Al-Arqam Al-Hind meaning Numerals of India. Great Fibonacci called it Modus-Indorum (Methods of India) in his famous book Liber Abaci Glad2teach

[@LuckyHiroDelGato]

I have always struggled with and been intimidate by math. This video has eased my anxiety and I am eager to learn and strengthen my math skills. Thank you so very much!

[@glad2teach]

Thanks !! If one is really keen to acquire knowledge then all the hurdles can be overcome. All the Best - Shahryar ( Glad2teach )

[@CanadianGuillaume]

Works as well in base 100, and in any base by the way. It's very simple to proove. We have "b" the base and "k" the difference between our actual number "x" and the base. We start with : x = b + k x^2 = (b+k)^2 = b^2+2bk+k^2 = b (b+2k) + k^2 = b ((b+k)+k) + k^2 = b(x+k)+k^2 So if we have 100 as our base : x^2=100*(x+k)+k^2 If we have 52, k = -48. 52^2 = 100*(52-48)+(-48)^2=400+2304=2704 We could do it with awkward bases like 42 to calculate the squared value of 324, although not useful.

[@glad2teach]

@wackyLegends , You got it right !! That extra 0 comes as for 1004 the Base is 1000 ( it has 3 zeros thus 3 places to go )

[@glad2teach]

Knowledge is a collective heritage. 5000 years old Indus Valley Civilization (ancient India) has made remarkable contributions to this pool. 1) Hindu Numerals (our 10 digits from 0 to 9 ). No modern Math could be possible without them 2) Decimal Place Value System (Base 10). As you know Roman Counting was not Place Value thus highly difficult. 3) Pingala first used Binary System (Base 2). Without this there would have been no modern computing. No word limit left. Shahryar (Glad2teach)

[@sachinpaurush8415]

Simple, sqaure will be of four digits _ _ _ _ Let your number is x Step 1: x-50 = a Step 2: 25+a = b Step 3: a^2 = c your square will be BC. e.g. your 56 is +6 of 50. So, 31(25+6)36(6^2) or 3136

[@glad2teach]

It does work and it is very easy !! Use the right base (Base50). See the 2nd EasyCal video on glad2teach website ( link below the video above )

[@LivingDead53]

for squaring, you can also do this: 3^2=9 sqr9 3 3+4(next number)=7 9+7=16 or 4^2. If you know the one prior, you can do this even faster.

[@glad2teach]

Good question !! Because it is the distance of Base that counts. 112 is at the distance of 12 ( not 2 ) from 100 . Shahryar

[@glad2teach]

Your harsh worded comment exudes your keenness to learn. To become a good student one has to become a good listener. Fast method I have shown is called Base Multiplication. If no. is close to a Base (friendly no.) we can square it easily. For 13 we would use Base10. For 987 it makes sense to use 1000 987 is 13 down from 1000. So subtract that 13 from 987 You get 974 _ _ _ . 3 more places to go ( as 1000 has 3 zeros). Simply put there square of 13 974 169 (Answer) Shahryar (Glad2teach)

[@Firithfenion]

In Germany, we call this Referenzmethode. It's especially easy with squares, but it works not only with squares, but also with numbers which are not too far away from each other like 98 x 97 and which are near to an easy-to-calculate-with reference number, like 100 or 1000.

[@mercuryMAYAN]

There's another video posted for #'s 30-70. Same idea, but your base# is 50 instead of 100. Find the distance of the # from 50 ie: 40. 40 is 10 less than 50 so subtract 10 from 25 (1/2 of 50) and that is your first 2 digits (15) then find the root of that distance 10^2 =100 ....so 00 are the last 2 digits the 1 gets added to the 2nd digit 5 making the answer 1600!

[@kathyschultz8141]

Wish i had known these math tricks yrs ago!! I'll be able to use them. TY so very much!!

[@PokenerdAnimator]

Essentially we can break the problem down into the following: 104*104 = (100 + 4)^2 the general form of (a+b)^2 = a^2 + 2ab + b^2 We can factor so that we get (a+2b)*a + b^2 Now, in the first example, a=100, so we can take (100+8) and add two zeroes, to get 10800, and add 4^2 to get 10816. Hope that this helped. I don't think that this method will work for >199, however maybe I missed something in the method used.

[@IceMetalPunk]

If it's an arithmetic sequence, then it can be expressed as a[n] = a[1] + (n-1)d, where a[1] is the initial term and d is the common difference. That said, we know that a[1]=16 and a[5]=17, so: 17 = 16 + 4d => d=1/4, and so we have the solution: a[n] = 16 + (n-1)/4.

[@aflaflaf]

you can use the base 100: 1. subtract 13 from 87 => 74_ _ 2. 13^2 = 169 3. add it to 74_ _ => 7569

[@bloogaming8827]

Or you could 104 round to 100 104 - 100 = 3 104 + 4 = 108 100 x 108 + 4^2 =10816 This works with any number. Round to the nearest multiple of ten. Find difference. Subtract from original. Multiply two numbers. Add the difference squared.

[@andrewshirley9240]

I think the easiest way to do this kind of thing is to use distributive property. separate 100 into (100+4). then you know it's 100^2 + 2*100*4 + 4^2, all of which are pretty simple to figure out and add together, especially since 100^2 =10,000 isn't hard to keep in your memory at all.

[@ngn6576]

why have stopped publishing the videos. All tricks are awesome. Please upload more

[@1812jacko]

@GothicDarkhellrazor 7x7=49. 7, 14, 21, 28, 35, 42, 49. So for 107, you have 7 more than 100 so you add 7, giving you 114. Then put 7^2 (49) on the end giving you 11449.

[@kennethkrist]

@Chamillionaire993 I can see your point and I agree to some point, there will ALWAYS be certain numbers easier than others when it comes to head calculation, but 67 = (70 - 3) works just aswell, and it's not THAT much harder... For example: 70^2 - 2*3*70 + 3^2 = 4900 - 420 + 9 = 4489. The "hardest" part is remembering those 3 numbers before adding them together :)

[@arushitonse5428]

LOVE IT!!

[@QuesterPaul]

@PlayerWaluigiii e^(2x)-10e^(x)-1=0 let e^(x) become "x" to simplify things for now. This gives us (x^2)-10x-1=0 use quadratic equation to find that 2 possible answers are 10.099 or -0.099 these answers are our "x", which is really e^(x). So, 10.099=e^(x) or -0.099=e^(x) then use logarithms to isolate the real x. See next reply.

[@kennethkrist]

@ahmadguitar87 The principle is "Squaring a binomial"... It implies that ANY 2-or-more-digit number can be written as a binomial and squared in a realy simple manner...

[@7x34hj]

Start by writing down 25 (five squared), and then consider the first digit (left to right), which is five, and then multiply it by the next consecutive natural number, which is six, therefore, 5 x 6 = 30. Placing these answers together gives: 3025. Hope this helps.

[@genctusha9550]

ky eshte nje ushqim per truri.faleminderit

[@knightoflambda]

It's because of the distributive law from elementary algebra. Do u remember high school, factoring quadratic equations? when you need to expand (4x - 5)^2 there was a shortcut instead of distributing, it's always (ax + k)^2 = a^2*x^2 + 2*k*a^2*x + k^2 I don't expect u to remember, but the same rule applies when ur squaring a number 112^2 = (100 + 12)^2 = (100^2 + 2*100*12 + 12^2)

[@sydneybellasage]

Thanks for making math so simple. I wish I knew these tricks in high school. You are great!!! Keep posting!!!

[@glad2teach]

I would suggest you watch the 3rd easycal video on glad2teach website (link given below the video above) for a more 'spirited' explanation of using the Base. All the Best Shahryar Badar Khan (Glad2teach)

[@RickHollmer]

Having to bone up on my math. My son is going into AP this year and I'm afraid I won't be able to keep up / help him much longer. Thanks for the help!

[@X0RPION]

@pinky93rocksm the reason you know that you have to add 2 additional digits, even if your starting under 100, is your equasion is being based off of the number 100. there are 2 additional digits after the primary, therefore you add 2 additional digits when you multiply. 2 x 2 = 4. just like if you went to use 1000 as a base instead, you would add an additional 3 digits. because 3 zeros. 3 x 3 = 6. hope this was helpful XD

[@5atifaction]

glad2teach.. i really admire your math-tricks.. i am a mathstudent and since I learnd your tricks I can calculate faster than my professor :D

[@QuesterPaul]

@PlayerWaluigiii Easy. Follow along. Each step is separated by a space. [e^(x)-e^(-x)]/2=5 e^(x)-e^(-x)=10 e^(x)-[1/(e^(x))]-10=0 common denominator [(e^(2x)/(e^(x))]-[1/(e^(x))]-[((10)e^(x))/(e^(x))]=0 now eliminate denominators by multiplying the denominator on both sides of the equation. See my next reply (not enough room in this one).

[@QuesterPaul]

@PlayerWaluigiii but you can only do the logarithm of a positive number so the answer -0.099=e^(x) can be eliminated. That leaves us with 10.099=e^(x) use logarithm to isolate x: x=[(log10.099)/(log(e^1))] x=2.31 I figured all of that out myself by the way. :)

[@TheDpvpp]

you're right by making 104 into 100+4 then you square that so you have a polynomial (100+4)(100+4) then when you do polynomial multiplication you will end up adding 100000+400+400+16 which is the equivalence of adding 104+4 making it the first 3 digits and then adding 16 to the last 2 digits

[@pihi42]

You could improve the video and add it some depth with the general formula (100+X)^2 = 10000 + 2*X*100 + X^2 As well as (100-X)^2 = 10000 - 2*X*100 + X^2 Digit separation works well when 0< X < 10 Btw, can you calculate 93*107 in five seconds? (100*100 - 7*7 = 9951) It is equally simple if not simpler : (100+X)*(100-X) = 100*100 - X*X

[@infernocod4]

More sensible way, just rewrite as (a+b)^2 and apply expansion a^2 + 2ab + b^2

[@nSackStyles]

this is nice sir but i have a question ! incase to solve (124) whole square according to u ,it will be 124 + 24 = 148 n then (24) square ...then how to solve (24) whole square as fast as u did

[@nisoes92]

@EvilBharathy yes it works, 115 + 15 = 130, 100--> 2 zeros, so 2 numbers to go after 130. 15*15=225. since this number has 3 digits the first one is added to the last digit of the first number (so 130 becomes 132) and the 25 becomes after that, so it becomes 13225. I hope I am explaining this the right way :)

[@goshinbi44]

this is basically turning a number into : (100 + a)^2 so it becomes 100^2 + 200(a) + a^2 a very clever way to get these numbers quite quickly

[@Missfeke]

73-27 is 46. So then you square 27 which is 729 and add it to the 46 (which needs two extra digits). So, add 729 to 4600 which makes 5329. This method is only really useful if the number is closer to 100 as the video says otherwise you get bigger number to square like 27.

[@rihanamakamba3341]

That is amazing. Sick method as well

[@queenieflutherbee]

You Sir, are amazing! I have a maths exam tomorrow, I'm sure these methods will come in handy and save me lots of time!! Thank you.

[@07logiebear]

or you could use FOIL for all numbers (first outside inside last) for example, 104^2 = (100+4)(100+4) = (100)(100) + (100)(4) + (4)(100) + (4)(4) = 10816

[@rodeo179]

Sir, You are lecturing me on the history which no one denies. I respect that. I'm stating the facts in present time. Why would Indians, Chinese, etc. want to come to the US and study? because the standards are far higher - conceptual education. No one who has studied in Subcontinent denies that schools put emphasis on rote learning - unless they are being dishonest.

[@golddim]

55x55=50x60+25=3025 Generally, z5 x z5 = z0 x (z+1)0 + 25 Other examples: 35x35 = 30x40+25=1225; 85x85=80x90+25=7225 Enjoy! :)

[@Commentcoach]

If they teach they taught Math this way in the UK, kids would be so much better at it. :) Thank you

[@bla287]

I did it the binomial way, takes slightly longer (maybe 10sec instead of 5) but is just as easy: (104)² = (100 + 4)² = 100² + 2*4*100 + 4² = 10000 + 800 + 16 = 10816 or (96)² = (100 - 4)² = 100² - 2*4*100 + 4² = 10000 - 800 + 16 = 9216

[@cyberblood21]

hello glad2teach... please upload more videos... i love all your lessons...

[@glad2teach]

Thanks for your kind advice !! Shahryar (Glad2teach)

[@aander1981]

Thanks for taking the time to post.

[@MyNotrust]

It's very amazing easy way to calculate fast , thank you very much :)

[@weacat]

You're videos are very helpful! Thank you for posting them! I wish I knew this stuff when I was in school so I would've had less homework and more play time! I am going to show your videos to my kids! Thanks again!

[@2krisz]

you mean 3 digit numbesr? other 3 digit number are very easy too. If you mean 2 dgt no.s then, I can write it here: 34X34= 3x4x2(always two)so 3x4=12;x2=24, and add a zero (so 240) Second part: 3x3=9; 4x4=16; 9+16=916. Then add the first part to the second: 916+240=1156, 45x45: 4x5x20=400, 4x4+5x5=1625; 1625+400=2025, keep practicing :)

[@emmyboo90]

Thank you so much does these videos! I've showed them to everyone!!!

[@michieldrost9396]

This trick seems familiar(see "Be Human Calculator" video): a^2 = 100*(a+a-100) + (a-100)^2 a^2 = 100*(2a-100) + (a-100)^2 a^2 = 200a - 10000 + a^2 - 200a + 10000 a^2 = a^2 seems like it'll always give the right answer.

[@ilovetruth]

that is a nice idea, glad2teach! But for the particular case of 55*55, won't it be easier to use 25*11*11, since there is a very easy way to multiply by 11?... like 275*11=3025, even if you don't know the *11 trick, you can even do 2750+275, which is easy 3025!... Of course, there are many ways to solve for sort of any calculation and I am just suggesting flexibility and to be one with the spark and the solution, if you know what I mean!...

[@sauravmishra1017]

I have founded my own trick on squaring 1 - 110...And what a coincidence! It includes this trick also! It even works from 100 - 199

[@ArjayBlogs]

For 2-digit numbers, instead of using bases as a means of calculation what do you feel about the technique ab^2 = (a^2) (b^2) (not multiplication simply placing the 2 answers alongside) + the sum of (a+b)x2

[@stextrordinaire]

Thank you SO much for this. I'm in Algebra 2, and we're finishing chapter 6, which is polynomials. GOD, this is going to help me on the test- she's not letting us use calculators on the first part. YOU'RE MY HERO! (Btw I think your accent is kinda cool :). Just for all those jerks who're being mean about it)

[@sipassam]

I REALLY LOVED IT. The numbers are so easy...Regards srabani from ASSAM, GUWAHATI

[@aflaflaf]

had to think about that the whole time! Then i tried different examples and found out the trick behind it... You always have to multiply with the first figure of the base and then add wahtever the square of your "distance from the base" is... Examples: 16^2 (base 10) --> 1*(16+6)=22_ ; 6^2=36 => answer: 256 24^2 (base 20) --> 2*(24+4)=56_ ; 4^2=16 => answer: 576 33^2 (base 30) --> 3*(33+3)=108_ ; 3^2=9 => answer: 1089 now you can go up to 99 and it will always work the same way!

[@saurabhpal6784]

Thanks for this video I am confuse in when mam teach the square but when I see your video clearly I explained thanks

[@LivingDead53]

I found one to share with you since you're so good at these.

[@jorglibuschewski8958]

the answer isnt 12444! It is 12544, because you add the "distance" from 112 to 100 which is 12 to the basic number (112). You´ll get 124. For the square you need two more digits and you can add two "0"s behind that number: 12400. you need to square the distance (12x12) which is 144 and add it to the 12400. 12400 + 144 = 12544 !!

[@TTPlayer298]

You are sooooooooo smart... I feel soo much smarter my brain hurts... I love this.

[@Puddycat042212]

And also the ^3 with it :)). Please expect more questions tomorrow :))) about tricks. Well, this is my another question: How to get the sequence 16 ___, ___, ___, 17 Please answer it since you're expert in tricks and that question is all about arithmetic sequence and series. I'm expecting an answer before August 6, 2012 ASAP and that will be helpful to my exam tomorrow :)))

[@Alex-we3fr]

Love his ascent! :3

[@ernestrutherford100]

i found a trick to square any number who ends in 5. For ex, if you want to find a square of 65, then you take 25 as your answer's last two digit. Then take the first digit of the number, in this case it is 6, add 1 to it and you get 7. Then multiply 7x6=42. This are your first two digits of the answer. So 65 squared is 4225. Another example lets take 185 square. You put 25 as your answers last digit, then take 18 and add 1 you get 19. Multiply 19x18= 342. So your answer is 34225.

[@jezzie7354]

think of 104^2 as (100+4)(100+4) -----> if you use the FOIL method, you get 10000+800+16...........this works for all numbers from 100-109 ----->e.g. 108^2 as (100 + 8)(100 + 8) is equal to 10000+1600+64