Math Teacher Shows TOP 10 MISTAKES students make

[@LukeInAK]

I don't think you realize how life changing this was, literally covered almost every misunderstandings of algebra that I ever had. Seriously dude, thank you.

[@SelmoonBhai]

You guys call this algebra? Habibi grab a 11th grade algebra textbook from India

[@jeeva1]

He may be in 7th or 8th grade​@@SelmoonBhai

[@Checkmate803]

​@@SelmoonBhaiman nobody cares respectfully

[@adammonsterzero]

​@@SelmoonBhai or maybe 🤯 hear me out, hes here to fix his mistakes as a beginner 🤯🤯🤯

[@hellnahmf]

​@@SelmoonBhaichill out bro

[@bungercolumbus]

Not gonna lie. As a dude in the 12th grade. These are the mistakes someone who just memorizes math, instead of understanding it, would do.

[@just_a_fan466]

Yep, definitely!

[@aezurefx]

yeah you gotta put the extra effort into understanding it

[@SnehaKumari-nk6sb]

Hii ,where are you from??​@@aezurefx

[@Deoxys_da2]

But someone said "never understand maths"

[@BC-2]

The higher you go, the more bullshit it becomes

[@CreatorProductionsOriginal]

There’s two type of reactions while watching this ** 10^10 levels of pain as you watch the mistake** “Oh, that’s how you do it”

[@vishisht8688]

I am one of them of the first category... I am also a teacher and when I see these I am also flabbergasted.

[@kkTeaz]

I'm not very good at math(and by that I mean compared to my asian peers) so I'm more of a "yea that's a reasonable mistake to make)

[@tgsvampire]

​@@kkTeaz Same here 🥲

[@jelanloy-a4820]

Im both these

[@kizuto8285]

I'm still not at cos or sin level in school, but the rest made me literally emote with embarassment. Like how the hell can a person even make such silly mistakes?!!

[@Deendairieswithswaleha]

For all the Indian people bragging about themselves: kindly skip these type of videos pls Iam a 10th grader from india. And i do many of these mistakes mentioned in the video.This video really helped me tbh. Just talking about how smart you are , doesn't make you even more smater here. Infact it even lowers somw students' confidence. Ppl are watching this video to perfect themselves. Let other people grow as well. ❤❤

[@poonamsangwan-mo8gt]

I'm your competitor

[@yesitsme6]

thanks bhai. maine socha sirf m ek indian hu jo dumbest person h.

[@prabusiliwangi8691]

im 6th grader from indonesia competing in math olympiad

[@innocentinnox]

I did some of these mistakes in my first year A-LEVEL mathmatics, I really had to do alot of practice to get rid of them, Thank God in my final highschool year I was so proficient and never did such mistakes. You really need alot of practice to master algebra.

[@wenterinfaer1656]

Doesn't the same apply to every skill?

[@notreallydavid]

a lot Please kick me.

[@MAZINO225]

I had physical pain watching the students solve.

[@Slerdus]

Yeah fr

[@Mika-lx7uj]

Same

[@adolf_alija]

Same

[@Ward_Zeidan]

I am 8th grade I could solve almost every thing

[@hidaven2006]

@@Ward_Zeidansame bro 😭

[@pop6085]

for the last tip you can remember that (a+b)^2 = a^2 + b^2 + 2ab, so you dont have to actually multiply it out every time

[@hedgehog3180]

It's also an easy way to find the roots of polynomials since if you factor it back in the number added or subtracted will be a root.

[@eneaganh6319]

Don't you learn that in the US?

[@samruddhijadhav4569]

Yes a plus b the whole square is equal to a square plus two ab plus b square is very simple

[@none.of_ur.business-L]

Ohh i remember that from 8th grade😂

[@w-lilypad]

For higher powers, you can draw a pascal's triangle and look at the shape. Ofcourse, this is not an efficient way, but simply just a way.

[@Bubs.]

Finishing up my math classes for my engineering degree- I was curious if I’d see any mistakes im not aware of but I’m comfy with all these and have definitely made pretty much all of these mistakes at one point. Makes me feel like I’ve learned it properly though!

[@OpticalOpp]

which type of engineering ?

[@xelp435]

I’m going into engineering but I am a bit discouraged of the math, should I be worried?

[@hal00fwar]

​​@@xelp435 nah you shouldn't. I am a mechanical engineering major and I'm not that good at math but still managed to get A's in all the calcs and differential equations courses. You're good. Even the physics and engineering math is not that hard tbh.

[@Hellyeah-b2v]

I love the sound editing on this its so funny, also the way you were correcting and teaching was also clear and concise. The editing kept me entertain while watching

[@bluet.]

I agree

[@monojoy4270]

I am in Grade 9. This video cleared all my doubts. Thanks for the help.

[@fksa3330]

Hopefully you are in matric now

[@Mubashar783]

​@@fksa3330 Yeah Hopefully😅❤

[@Ascee1]

But isn’t grade 9 still middle school ?

[@basketguitar9768]

​@@Ascee1Depends. In the US it's freshman year of high school, and in other countries it can be considered middle school.

[@Nepali_guy_Study_yt_account]

​@@Ascee1In India grade 9-10 is called high school and grade 11-12 is called higher secondary. But the saddest part of our curriculum is that our education system sucks and we have cut throat competition with a lot of pressure 😢

[@islamswayoflife8314]

I'm a math course student, and while we are a lot more advanced than this it helps to refresh the memory somewhat.

[@marciomarquesdarocha211]

Hi! I'm a Math teacher from Brazil and my students make same mistakes here! Unbelievable 😮

[@theagent3551]

Hence proved, maths is universal 😅

[@CitsVariants]

Same in europe

[@pdean6140]

Very Nice Presentation ❤

[@nodistraction5857]

Not for JEE aspirant

[@Kidnapper656]

​@@nodistraction5857mf you from allen or what. Many do silly mistakes even i did in my recent exam

[@Roseane-w2j]

I speak Spanish and a little English and I must say the truth that I understand mathematics more in another language than in my language, I don't know if this happens to anyone else, but I love the idea of learning and at the same time improving my way of understanding English in mathematics.

[@therealniga]

yeah same

[@stardufs]

It happens to me! Probably because I watched math tutorials on KZbin that are in English, when it comes to math tutorials in my native language, I don't understand anything, hahaha 😭

[@avengersfan4478]

You said a little English but your english is good tho

[@saroar.]

Happens to me too, as the mathematical words used in English are easier to understand than the mathematical words used in Bengali.

[@davidthblank7545]

I swear math is the worst taught subject in the world. Most of us never properly learned or weren't even taught some of these basic principles.

[@kylebeschler03]

right, math should have been taught in a way thats manageable for everyone. For many people, they learned to hate math cuz of the way it was taught and so forth. Some kids can handle it but surely not everyone. I hated it until junior high then i actually started to be ok and was actually getting better in some ways. I was improving more in high school ironically. But i think it was that i didnt pay a whole lot of attention in elementary math back then. but honestly they should focus on the students needs more than just test scores. thats prob a reason why theres such a shortage in math teachers and math degrees. Math is a difficult subject if not handled properly. And honestly same goes for science for many people.

[@InvadingRoaches]

Or just....learn it urself

[@majestic7768]

Wrong...try history.

[@bata3258]

​@@InvadingRoaches ppl nowadays don't really understand the significance of self study, they want to be spoonfeeded

[@barbaraera-if5ol]

@@bata3258what’s the point of going to school then🥹. Self study is efficient and fine too, but to self study basics when it should already be taught??

[@shampadutta7322]

• Reference: 15:30 Here, with Error #2, I'd like to add a point: Mostly, when students see the square root function, they instinctively think of 2 solutions, +ve and -ve. But that isn't the case in some places. • Example Imagine the question √9 = ? Most students answer ±3, which is wrong. The answer is only +3. The square root function by itself denotes the absolute value only. But, there's a catch! Suppose the question is - If x² = 9, find x. Then x can assume 2 values +3, -3. The thing is, when we're just asked what the square root of a number is, then the answer is only the absolute value. However, when asked the square of what number can assume a given value, then the answer will be both ghe positive and the negative values of the square root.

[@Iam.Benzene]

Yeah cuz answer for a sq root cant be -ve

[@brunoint2021]

Good point!

[@vxllabh09]

yeahh i was confused by this exact thing for a long time(im going to sophomore year of high school ig) and the one thing that my teacher told me a few years back is to *factorize* and solve. so i would approach this question by subtracting the 9 from both sides and then solving the quadratic equation, x^2 - 9 = 0, which equates to x = +/- 3 ps. im currently a math olympiad student

[@aalekhjain2682]

Correct, because when x²=9, we write x=±√9. And then what's asked in question is the value of +√9. Hence we write 3. Had it been -√9, we would write -3

[@alienbydfault]

yeah and I'd like to add onto that what my teacher taught us: *√x²=|x|* so if the que is x²=9 we take root on both sides: √x²=√9 => |x|=3 and hence x=±3 that is if you know how modulus works

[@donotletthemknow]

As an Indian and a weak student in maths I'm proud to say that I don't make 90% of these mistakes

[@phenomenaking3862]

😂😅

[@pythondrink]

If you think about it, "I don't make 90% of these mistakes" could mean you make 100% of those mistakes (or any other percent figure, just not 90). A more precise way of expressing your intended meaning would be "I avoid 90% of those mistakes."

[@thereisnoname1]

​@@pythondrinkI agree

[@salmaelkassimi6646]

@@pythondrink he is an Indian English is not his first language so...

[@adityaprasanth]

@@salmaelkassimi6646English is widely spoken throughout India, i doubt he’d have issues learning

[@greencrown8327]

As a middle schooler, our math teachers taught us how to stop making the mistakes, except mistake 4 because we haven't done functions yet

[@TechnoFanXd]

Yes its taught in 9 but the functions and everything rated to it is taught in 11 and 12

[@BKKGarrett]

The way I explain Number 2 to students is that you can ONLY cancel terms that are multiplied to the entire numerator and entire denominator. In the numerator of your example, the 2 is only multiplied to the x, not the rest of the numerator, so you can't cancel it with anything in the denominator

[@_nebulae]

Yup thanks for pointing this out, was a bit confused why he didn't cover it lol

[@Bishu1229]

Being an Asian I can't relate to this video. I never made these mistakes

[@dilchorff]

You can tell this now, but are you sure, you could tell this 3 years ago!!!

[@sire_99]

Yeah bro I am from India and we learn this level of maths in 5th grade in high school we learn advanced calculus, vector 3d geometry co-ordinate geometry like hyperbola ellipse and all.

[@Bishu1229]

@@dilchorff Yeah, absolutely. As I wrote in the original comment, these minor errors were not common in my life. It would be wrong to say I never made those mistakes, but I made mistakes for a short period of time after first learning a new concept. Then, after a while, I would never look back with those mistakes.

[@Silly_Sam]

​@@sire_99 wait is that not normal in the west?

[@saikgaming866]

Bro then why did search for this video 😂

[@r2_bee2]

I'm in grade 12 studying for my advanced final exam in maths constantly achieving about 90%. I needed no help, but I watched the video anyway, in order to understand the mistakes made by others, so I can help them.

[@Zkflames]

who

[@ploppen3872]

​@@Zkflamesasked

[@bebektoxic2136]

Anyways it's PEMDAS not BEDMAS.

[@RGGBMGO]

@@bebektoxic2136 it doesn't matter really because they're the same thing

[@TakshabDahal]

It's different in other countries​@@bebektoxic2136

[@JoeTaxpayer]

Number seven. The moment that you said when that answer of two appeared, plug it back in to the original equation to check your work. Absolutely beautiful. I tutor in a high school, but sub mostly at the sophomore level. One of my obsessions is to teach them the skill of “check your work“. It is remarkable to me how many students don’t understand what that even means. So many have asked me, “what does that even mean, do I just do the problem a second time?“ when school starts in September, and I am in front of the class for the first time, I plan to go through your top 10 list. Probably for the whole block. Hopefully it will avoid the look of horror on my face a few months in.

[@AK-is-not-him]

brooo!!!??? whatt!?? only watched till the first mistake and my mind is already expanding in all directions smt crazy good thanks brother

[@Iloveithereso]

that's why you need to understand math, as a highschool senior, these mistakes i haven't seen since middle school because, these are math fundamentals, but i'm glad a lot of student cleared their misunderstandings

[@itsohaya4096]

I'm a math tutor in a community college, this is very spot on. Especially forgetting to divide all terms by the numerator, and literally anything with a fraction 😭

[@mineflip4917]

What are you doing here probably learning 😅

[@Randomonious753]

College students? 💀

[@arnoygayen1984]

No way collage students do that.

[@grassytramtracks]

​@@arnoygayen1984 students who make collages might

[@opposedscroll7596]

10:30 i used another method to get this answer: 3/x = 6, that means that x/3 = 1/6, multiplying both sides by 3 we get the answer of x = 3/6 which can be shortened further to x = 1/2

[@HenrikMyrhaug]

This is a good way to solve the problem. I would actually have done the exact same thing, but with a couple of extra steps: 3/x = 6 -> x*3/x = x*6 = 3 -> x*6/6 = 3/6 -> x = 1/2

[@nickronca1562]

I would have done cross multiplication but that works too

[@AdityaKumar-gv4dj]

Wow congrats 🎉

[@KRAKUMAL]

Just do the cross multiplication bro 💀🥶

[@Snehalramgirwar]

Same

[@jaydeephandique5874]

As a math student, i nearly had a heartattack watching the last mistake. THAT'S JUST (a+b)² = a²+2ab+b² !!

[@MrMusicM67]

I am also a high school math teacher. Spot on!

[@mansibendre83]

I'm in seventh grade. And for the sixth one…… Damn bro how do students even think like that

[@babatona]

Huh

[@infinitepixal]

I have the same question man... did they think it was 3/3 or something?

[@Bingo-ig4qt]

Thanks sir. Well there is an identity where many students get confused i.e a²-b²=(a+b)(a-b) so here the problem, for example if I ask what is (x⁸-1)(x⁸+1) then some some some students say that it should be (x⁶⁴-1) but its wrong it should be (x¹⁶-1). Now please don't comment that I'm from Asia and we learn this in nursery 🤠..

[@r.345-pt6nv]

btw for √x, it is not always ±x. it depends on the context of the QUESTION itself. if they are asking for the length of the side of a square that has an area of 9cm², the answer is not ±3cm but only +3cm as length is not measured as a negative quantity. hope this helps, since proper application of common sense in questions is something that is very rare in students.

[@birendra9042]

Thanks sir. Because of this video I have cleared many doubts regarding subtraction,multiplication, fraction and exponent

[@HappyWithMyHeadset]

*1.True, because we square the 4. The minus sign is not in brackets with the 4. *2. False, because this is (x + y + z)(x + y + z) *3. False, because here we have to first factorise 4, then use the exponent rule. So you finally get 2 to the power x + 2 *4. True, because we square everything in the brackets. *5. False. The Y's are not factors, they do not cancel out. They could only be cancelled if the y in the numerator had been multiplied, but it's not. *6. False. We need a common denominator in order to add fractions. *7. True, because it's (-2)(-2)(-2) *8. False, because Cos is a function not a pronumeral. (I'm a mum revising my high school maths, please tell me if I'm wrong - but also be kind!)

[@matheuscabral9618]

That's correct

[@Dude-l8b]

*2: False, cuz (x + y + z)² = x² + y² + z² + 2xy + 2yz + 2zx

[@Atomicrizzler]

​no it's not wrong bcuz if you multiply what he said you will the formula you wrote

[@youknowwho9632]

3.False , but it can be true if x= 1😊

[@ZDTF]

Hi a Mum,I'm zdtf

[@greenlite5588]

In the last one you can do: (x+3)² X²+2*x*3+3² X²+6x+9

[@TingTi-dy5hl]

（a square ➕2ab➕b square）this is an identity

[@respecttiger9071]

Yes​@@TingTi-dy5hl

[@NameTheGreat]

Isn't it better to simply move one term to the other side of thr equal sign? Eg: 3/x = 6 Move the x to the 6, => 3 =6x Then move the 6 to the 3 => 3/6 = x => x = 1/2

[@Zaultreyak]

thats exactly what iam thinking

[@amansingh4046]

Americans: Oh! I can relate with these. Asian: It was 18 min of pure pain.

[@artieedwards]

THIS is truly valuable info!!!!! We need a big ‘ol problem worksheet (with solutions) to accompany the video, and I would pay money for that!!! Many thanks for this enjoyable and informative lesson!

[@JSmanthe3rd]

As an inspiring math teacher, I approve this video. Great job explaining!

[@logickedmazimoon6001]

We need to change the way negatives and other operations are taught. Perhaps if negatives arent taught until multiplication is taught so that students can internalize that there is an implied operation when you have something like -2? That way you can teach it as (-)(2) = -2 So with exponents (-)(2)^3 = -2^3

[@Zoeroae_mid]

To all Indian in comment section first if are watching this vedio by searching it you are 👑 but is you find it accidentally and feeling proud about not making mistakes like this just remember learning mistakes and studying failure gives us a big lesson as compaired to success and being infallible

[@mineland8220]

Currently in my first university semester, and my maths teacher got the problem thats on the thumbnail wrong, doing just as the video shows is wromg, and ive tried to ask him about it and he just neglects what i try to say. Im glad im not going insane. Thank you

[@namespace-w2x]

I got panic attack by watching this. Respect to all math teachers who deal with these mistakes!!!

[@user09832]

1. True 2. Its x² + y² + z² +2(xy + yz + zx) 3. 4 × 2^x 4. True 5. 1 + (x/y) 6. 17/4 7. Right 8. Cos(x-y) = cos x cos y + sin x sin y

[@DickJohnson-bd5cw]

thank you bro

[@lapikolko2]

For the third one you can do 2^(x+2), but I would also rather use 4 x 2^x instead

[@_humanbeing_Homosapien.]

5th will be x+y/y=x x+y=xy..?

[@dumplinglover8042]

Dude for number 1, - 4 × - 4 = + 16, remember - × - = +

[@rajeshkothari5866]

8th is incorrect,the correct answer is sinexcosy - cosxsiney

[@yourmathtutorvids]

Great video! And agreed - binomials and trinomials are trouble!

[@Le_Mayo]

As someone who loves the quadratic formula, I actually never really thought of number 1, I am shocked. Thank you for telling me this.

[@NSNjr23]

As a highschool student I have never done them wrong and this is my achievement. Also got got the highest marks in exam

[@dawnscript1]

Great

[@CelestialMetal]

Wish I could find this video sooner had to find all of them hard way

[@CitsVariants]

Wish there was youtube videos like these 10-15 yr ago 👍 good work. Its great to have people who are passionate about subjects and shows why math is important in life. Than having people who only teach it to get paid.

[@Talacinicity_12]

These are the most basic level rookie mistakes that only a kid can manage to do. Please make a video on how yo deduce information out of a question. (Like in higher level integration, binomial theorem etc problems

[@yoooukoso]

That's literally the point of this video

[@4bcdefghijklmopqrstuvwxyz]

Yoo im an indian and gotta say thks very much for this vid man helped me a lot Oh and i saw some indians and asians in the comments saying that they never made these kinda mistakes and i apologise on behalf of them they're prolly just tryna show off or sumin im really sorry their behaviour

[@Bhavani18k]

Exactly lol

[@babyluvv777]

Everyone has made these mistakes. Every single one. They are just liars. I'm saying this as an Indian. The people who comment that are such lowlifes wishing for attention 🫢

[@goose2719]

These are actually life changing i used to get confused af at kumon but now i atleast understand more

[@siddiqfaizshaik5640]

Hi! I'm from India and these are the most common mistakes we make

[@memorymukoloba5551]

True😂

[@ari-man]

I thought you guys were the smart ones

[@Shubh_42]

@@ari-man we do make these mistakes tho, in 2nd grade

[@kaiokee]

ah here we go again. pajeetbros with their "saar! we learn dis shite in de PRESCHOOL! BUT we don't learn how to use a toilet though... Sorry sirs!"

[@Detox-Nitro]

​@@Shubh_42 Sahi kaha 😂

[@hal00fwar]

Why am I here? Im a junior mechanical engineering major.

[@Jayesh._]

😂, because you are Engineer

[@artifygamezop3679]

Congratulations 🎉

[@ramangaidher7201]

😀

[@tjcambre5236]

Good for you no one cares

[@John-cg1sx]

Same lol. I was just studying ordinary differential equations

[@TheMuslim-dx4tt]

The worst thing is that my school teachers make a typo in the exams. So, you sometimes is confused whether that is an x or just a multiplication symbol or maybe he left the brackets by mistake. Cause the teacher always think that you have to understand the question what so ever since he taught you everything

[@Stranger-yd5iw]

This video taught me more than my math tutor ever did

[@SadabhaiGohil]

In the 5th mistake the equation is 3/x=6. Here; The 3 is in division with x so if you drang it to the other side, it goes into multiplication with 6 which is 18 And you could check by 3/18=6

[@subadharani118]

3/18 is not 6 it is 1/6

[@Gigusx]

There will always be students who make silly mistakes, even if they know better (maybe because of lapse of focus), but if it's a recurring theme and for a significant number of students in a class then you've got a failing teacher.

[@PatrickCraig-lh5is]

Also, nobody's talking about this guy's attitude: "Here are the top ten mistakes that are costing you marks and frustrating your teacher." Jeepers, mister teacher, I'm so sorry I frustrated you, let me just unalive myself! Failing teachers blame; good teachers encourage.

[@aturmomshouse7675]

if you’re solving for x on the second one just set it equal to zero and do the reciprocal

[@UnknownHuman-b6v]

7:11 I feel this is the dumbest mistake one can make even though I am bad at math😢😅

[@MANASIKAKANI]

That's awsome i have understood all the mistakes which i used to make and thats damn effective as in my school asking such doubts to teacher was thought to be a sign of weak student even though it was but WE LEARN FROM OUR MISTAKES ONLY that's why i am now able to do math properly and being confident in maths is a different kind of feelling bro!!!!!!! When u learn to understand it you would love it more than any other subject and that spirit inside me is beacuse of you THANKS A LOT!!❤😊😊

[@JJTRM-GG]

Ok. As someone who hasnt graduated but loves math and plans on teaching it. The first mistake is just kinda nitpicky. Even people who understand math properly see a -3 and think a negative number, not a positive three multiplied by negative one. So while yes it is technically the wrong answer to say -3^2 = 9. Most people are going to look at that -3, even your mathematicians, and think -3, not -1(3), 99% of the time.

[@jbombbay6429]

I wanna be an algebra teacher someday and I think this being the first day of class is a GREAT idea

[@blessedlife156]

So helpful as a sophomore❤ Thank you professor😅

[@OliviaJanifer-l3f]

Algebra had been a tough subject always. I had to hire a tutor from SolutionInn to explain its concepts to me. It is really nice to see videos like yours which help students understand it better.

[@marwanahmed594]

As a student i really appreciate your work also i need to confront my teacher about this

[@XuXiaoshou]

Lol, hope u didn't do anything stupid cause he actually failed question /mistake 6

[@syeddairy]

I think the last one we can simply say that it's open by (a+b)^2 formula which is (a+b)^2=a^2+2ab+b^2

[@samueldeandrade8535]

0:09 "... and frustrating your teacher". Well, a Math mistake doesn't even come close to being bad as a Pedagogical mistake like that.

[@adityasoni7506]

10:10 We can solve this by cross multiplication It's right or not 18:00 We can solve with the identity (a+b)² = a² + b² + 2×a×b Yes or no

[@reaction.06]

Thankyou ,this video was so helpful for me. 😊

[@Memes-_-Nonstop0]

Bro , am i the only one who misses those multiplication math worksheets we got in preschool, Math was fun back then 😢❤

[@nickronca1562]

Question, shouldn't it be intuitive that 3 times ONE fifth is THREE fifths?

[@nickronca1562]

Oooo my comment got hearted, yay!

[@playmoth]

Don’t underestimate the stressing on an exam lmao

[@grassytramtracks]

Sometimes your mathematical intuition manages to escape you and doesn't question anything

[@sudheer8745]

8:25 I think this method is also useful. Although it might have its downsides. The method is: (a/b) + (c/d) = ( bc + ad / bd) The brackets here are just meant to make it easier to read.

[@WeeD.Slayer56]

In India we used to solve these kinds of problems in 4th or 5th grade 😂

[@yukira.a]

as a middle schooler, what the hell are these mistakes 😭😭😭 im in 8th grade and if i made mistakes like these my father would tell me that my math is trash and these are the most fundamental concepts that are the base of math and you are expected to be able to do questions like these in a second- i refuse to believe that high schoolers are making these mistakes

[@zettt6001]

This must be painful for you to see your students do lol

[@zettt6001]

@@bryanc1604 you’re right! I guess I was ignorant when I commented that. Wish me luck next semester when I do take it :) All the best, Bryan.

[@SteveFard]

lol this reply section.

[@Potato-so6zr]

Replies were deleted. What happened?

[@pilotplayer9861]

​@Potato-so6zr ya

[@mariwa5286]

In -2x=8 you can also simply multiply the equation by -1, then you have 2x=-8 and that equals -4 too

[@kimminson4436]

hmm. thats right

[@literallyme1510]

that is a lot of work to do with fractions and might be a little hard to understand for school kids. in India our teachers don't say dividing on both sides for example: 3/x=6 our teachers say just send x to the other side and bring 6 to the left now we have 3/6 which is 1/2. lol doesn't explain how its done but it's easier this way if it makes sense ex2: -2x=8 just send the -2 to right it becomes x=8/-2 which is -4

[@diegomandragora4327]

Could you possibly make a "most common mistakes when working with roots and surds" video? It's easy to find a lot of indices errors video, but not roots. It would be really-really appreciated!🙂

[@johnnynikolovski1693]

NOTE: ^ = exponent symbol. QUESTION #1: -4^2 = -16 -4^2 = -1(4)^2 = -1(4)(4) = -16 L.S. = R.S. Therefore, this statement is TRUE. _________________________________________________________________________________________________________________________________________ QUESTION #2: (x + y + z)^2 = x^2 + y^2 + z^2 Remember: apply the FOIL method for this question. (x + y + z) (x + y + z) = x^2xyxz + yxy^2yz + zxzyz^2 ≠ x^2 + y^2 + z^2 L.S. ≠ R.S. Therefore, this statement is FALSE. _________________________________________________________________________________________________________________________________________ QUESTION #3: 4(2^x) = 8^x You can’t multiply a base of a power (i.e., 2x) by a constant (i.e., 4). Therefore, this statement is FALSE. ________________________________________________________________________________________________________________________________________ QUESTION #4: (5x)^2 = 25x^2 (5x) (5x) = 25x^2 L.S. = R.S. Therefore, this statement is TRUE. ________________________________________________________________________________________________________________________________________ QUESTION #5: (x+y)/y = x Remember: divide both terms from the numerator (i.e., x and y) by the denominator (i.e., y). x/y + y/y Note: y/y cancel out each other. = x/y = x/y ≠ x L.S. ≠ R.S. Therefore, this statement is FALSE. _________________________________________________________________________________________________________________________________________ QUESTION #6: 3/4 + 7/2 = 10/6 3/4 + 7/2 Remember: make sure that both the denominators have the same LCDs. The Lowest Common Denominator (L.C.D.) for 4 and 2 is 8. =6/8 + 28/8 =34/8 =17/4 OR 4 1/4 L.S. ≠ R.S. Therefore, this statement is FALSE. ________________________________________________________________________________________________________________________________________ QUESTION #7: (-2)^3 = -8 (-2)(-2)(-2) = -8 L.S. = R.S. Therefore, this statement is TRUE. ________________________________________________________________________________________________________________________________________ QUESTION #8: COS(x - y) = COSx - COSy This statement is FALSE because you can’t treat a function (i.e., COS) like a number and distribute them into their own argument.

[@Escviitash]

Your solution for Q6 is correct, but your terminology is not. The Lowest Common Denominator (LCD) of two fraction is the Least Common Multiple (LCM) of the two denominators, which is written as "LCM(x,y)= z". In this case it would be LCM(4, 2) = 4. Whenever one denominator divides evenly into the other it is always the LCM will always be the highest of the denominators. How to calculate the LCD in your head: If the two numbers has common factors then you first factor these common factors out, multiply the remainding factors and the multiply by the common factors: 4 = (2)*2, 2 = (2)*1. The common factor is (2). Divide both number by that common factor, i.e. 4/(2) = 2 and 2/(2) = 1. Multiply these remainding factors i.e. 2*1 = 2, and then multiply by the common factor, i.e. 2*(2) = 4. This LCD is the Lowest Common Denominator of the two fractions. You can see that you don't have the LCM of the two fraction, as you can reduce the fractions to 3/4 + 14/4, i.e. lower, but still common denominator. What you did was cross multiplication, i.e multiplying both top and bottom of one fraction by the denominator from the other fraction and v.v.

[@RGGBMGO]

@@Escviitash eh well you are kind of not following laws of what is an lcm but at the end of the day it still simplifies so its okay if you take 8 as the lcm since at the end of the calculation, it still simplifies back to 17/4

[@Carrymejane]

​@@RGGBMGOno, he's right

[@adhiramahesh9783]

That one educated unemployed friend on a Tuesday

[@bishal5247]

Q5. x/y + 1 ≠ x

[@LD-dt1sk]

I once did the last one on a competition and it haunts me to this day

[@Bart_LP]

In Germany we say "Aus Summen kürzen nur die dummen!"

[@jannatulnayem9029]

Ur a life saver.i always watch ur vids. Srsly it helped me a lot

[@RinRoya]

Fact. You forgot about (a+b)^3 = a^3 + 3ab + b^3😁

[@neelampal3427]

That's so wrong! , it's (a+b)³=a³+b³+3ab(a+b)

[@SumanTechnology7]

(a+b)³=a³+b³+3a²b+3ab²

[@howardhoward3348]

Can't speak for anyone else but for my limited mind expansion in time, I would prefer to see the correct way first. Afterwards, you could then show some common mistakes we might make. Doing it the wrong way in the beginning ( twice), as some do not make these mistakes. seems to waste time and focus. Therefore, defeats the purpose, plus finding the buzzer on wrong answers annoying.

[@FreePalestine07462]

1:29 just use your calculator. Hehe

[@xgtalvin9126]

ppr 2 cannot

[@varunvaidya875]

one is x/x+8 =1+x/8 . Can remember one dude making this mistake back in 11th grade . Rn he's is in BITS Pilani main campus.

[@gaminghellfire]

1:42 Oh trust me nobody is even this dumb to exist to make this mistake 😂

[@ZORO_TWO]

I used to do it when I was in 8 th but I practiced hard and was top god in maths in-class

[@itsmyrimetime]

i did this mistake in 6th grade

[@veryhuman5127]

i did this once at 12th grade bc i forgor

[@blacklight683]

On 7... it was 3(2to the power of x)=36 so i moved the 3 to be 2power x=12 but then the answer is log2(12)=x which my brain tells me is wrong cuz there is no way they would complicate x that much+i dont know what 3×(2 power log2(12)) is... but on the other hand again i need it to be 3(12) so i need the 2 to be 12 which isnt possible with normal numbers so log2(12) makes sense Edit: guess am correct but i was so ready to be wrong

[@eeeea3080]

I swear if i lose marks about this 1:21

[@meraabdulalaghaii]

as a indian 11th school student i know this all i remebred it as it is but dont know the reason now i also know the concept

[@bebektoxic2136]

At 5:07 i was confused, isn't it PEMDAS and not BEDMAS? I never heard of BEDMAS before.

[@rainshadows17]

It's called different things PEMDAS BEDMAS BODMAS but the surmise is the same

[@imyrzaim6241]

It's the same thing PEMDAS-Parenthesis,exponents,multiplication,division,addition and subtraction BEDMAS-bracket(same as parenthesis),exponents,division,multiplication,addition and subtraction The order of division and multiplication don't matter as they are both treated equally and should be taken from left to right And the acronym like pemdas and bedmas varies from place to place

[@Mintack_]

In Germany we say "Punkt vor Strich". (Dots before Lines) (• : before + -)

[@GuyWhoChad]

Recently, i had a doubt in my math class, asked my teacher and that guy solved the entire exercise set before going to my question, and still didn't answer it. it took him so long to answer that by the time he did, i had figured it out myself 💀

[@Prxsh_09]

As a sixth grader who loves Maths, I solved everything correctly except the sin and log one, I literally have no idea what they are... Edit: before anyone replies, yes, I'm Asian.

[@BotBenedict]

Ok

[@Max-ls2ye]

I was just like you, now i am in 9th grade. I'll explain log aka logarithms for you. So when you have a power, say 3 to the power of 2 which obviously equals nine, which we'll write down as 3²=9. When you solve for nine, aka 3²=x, to solve for x all we have to do is just evaluate therefore solve the power. When you solve for 3, the base of the power (powers are the base and the exponent in case you don't already know) you will just take the square root. So x²=9 which √x²=√9 therefore x=3. But when we solve for the exponent we use log, so 3^x=9 therefore x=log3(9). So logarithms essentially represent the exponent of a power, which if you understand will help you determine their properties. Essentially when we solved for 9, we knew the base of the power and the exponent and that is how our equation was written, when we solved for 3 we knew the exponent and the evaluation or arithmetical solution of the power and when we solved for the exponent 2 we knew the base of the power which is also the base of the logarithm (that's how it's called) and the solution. Here's the proper definition of a logarithm: A logarithm is the inverse function of its respective exponential equation.

[@quantumgaming7565]

It seems trigonometry hasn't been introduced to you yet, but you might encounter it in upcoming grades. Yes, trigonometry is indeed one of the most complex topics

[@brokenman136]

I learnt trigo before log I'm currently in 11 th grade but there is no logarithm chapter neither it was in my lower grades

[@G3R0George]

I was you in 6th grade. Luckily, my math teacher taught me trig one on one because I was so curious to learn about new concepts. I'm in 9th grade now and doing some real crazy calculus stuff. I'm not asian though.

[@Stella737E]

1. True 2. False 3. False 4. True 5. False 6. False 7. False 8. FALSE

[@astrovizion5192]

this is gonna get students into universities

[@malikamir2413]

We need more stuff like this and u should make video on very basic mistakes that we mostly do.

[@f_faction]

This video really sums up the problem of most students. As a math nerd student I am, I can say students should watch this to understand better. Also, 4 and 7 are true, others, false.

[@brokenman136]

1 is true

[@sire_99]

Sir ji you said these are high school level maths mistakes but lemme tell you this is 5th or 6th grade maths in India. We learn Advanced calculus, Vector and 3d geometry, Coordinate geometry which includes circles, parabola,ellipse and hyperbola,etc. Do you agree with me my fellow asians?

[@imAnonymous_19]

By High School he means upto grade 10, mostly upto 8

[@razzka4097]

does Jensen respond? also thanks for all the vids they're really helping me in adv functions rn :)

[@MrJensenMath10]

No problem. Glad they help!

[@adw1z]

Answers: 1) True: -4^2 = -16 2) False: (x+y+z)^2 == x^2 + y^2 + z^2 + 2xy + 2xz + 2yz 3) False: 4(2^x) == 2^2 * 2^x == 2^(x+2) =\= 2^(3x) == 8^x 4) True: (5x)^2 = 25x^2 5) False: (x+y)/y = 1 + x/y =\= x 6) False: 3/4 + 7/2 = 17/4 =\= 5/3 7) True: (-2)^3 = -8 8) False: cos(x-y) == cos(x)cos(y) + sin(x)sin(y)

[@mariwa5286]

1) True 2) (x+y+z)(x+y+z) 3) Log_2 of 2 4) 5x^2 5) (x/y) + y 6) (21/8) 7) True 9) cos(x) sin(x) - cos(y) sin(y) (Not so sure about this one)

[@sire_99]

1) Correct 2) Correct 3) Log of 2 to the base 2 is a correct answer as it simplifies to 1 but I am pretty sure you found that answer by the wrong method. 4) Wrong, it's written (5x)² that means you have to square the whole bracket which will give us 25x². So it's True 5) Yeah it is false you are correct here. 6) Wrong (3/4)+(7/2) can be written as (6/8)+(28/8) now it can be simplified as (6+28)/8 which is 34/8 which can be further simplified as (34/8)= 17/4 7) Correct. [ -2×-2×-2= -8] 8) You are wrong here bcuz the actual answer is cos(x-y)= cosx cosy + sinx siny Here sin and cos are trigonometric functions If you want to learn trigonometric functions you can search it on KZbin many free lectures are available by Physics Wallah

[@gvnchy]

5) is not right, the correct anwser is x/y + 1, y/y = 1, no y ​@@sire_99