Math Teacher Shows TOP 10 MISTAKES students make

[@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

[@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.

[@sam-xh2cy]

Or just....learn it urself

[@majestic7768]

Wrong...try history.

[@bata3258]

​@@sam-xh2cy 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??

[@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?!!

[@MAZINO225]

I had physical pain watching the students solve.

[@Slerdus]

Yeah fr

[@Mika-lx7uj]

Same

[@adolf_alija]

Same

[@Lemar_Zeidan2012]

I am 8th grade I could solve almost every thing

[@hidaven2006]

@@Lemar_Zeidan2012same bro 😭

[@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

[@studycomm4019]

If u r a jee aspirant 😂😂

[@Hasnain-zj9mp]

😂

[@akgamerz3309]

😂😂

[@Interstellarhandle123]

Same here😢😢😢😢

[@theshariar]

What is JEE ?

[@NainaTripathi-vh4ty]

It is an entrance exam in India to get a university for studying engineering

[@bishalacharya2582]

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.

[@bishalacharya2582]

@@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 😂

[@otakuhaven-07]

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

[@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 😢

[@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😂

[@lilypad429]

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.

[@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

[@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.

[@Bart_LP]

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

[@CourtingDeath.]

7:28 bro this is way to painful to watch😭

[@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

[@eeeea3080]

I swear if i lose marks about this 1:21

[@UnknownHuman-b6v]

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

[@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!

[@POLYNIKEGMAXOUT]

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.

[@syaff2911]

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

[@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

[@sumansharma8816]

"I THINK YOU DIDN'T MEET THE ASIANS...."

[@floweryfelix5190]

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?

[@hal00fwar]

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

[@Jayesh._]

😂, because you are Engineer

[@artifygamezop3679]

Congratulations 🎉

[@ramangaidher7201]

😀

[@jeanne7552]

You were bored

[@tjcambre5236]

Good for you no one cares

[@amansingh4046]

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

[@OvejaGD]

#10 actually helped me

[@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

[@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

[@arghyaprotimhalder5592]

Highschool maths this is highschool maths bri we complete this these things in primary schools and go adavance in middle schools .

[@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

[@ShubhuXD]

@@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!"

[@funtroYt]

​@@ShubhuXD Sahi kaha 😂

[@astphy]

12:06, careful using the word "of" there. we do teach students that "of" means multiply. ;)

[@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.

[@zaidtalib4513]

who

[@ploppen3872]

​@@zaidtalib4513asked

[@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

[@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.

[@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

[@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

[@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

[@HkRines]

One suggestion. Sometimes your "X" that mean "Wrong" looks like something to the power of x

[@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 😭

[@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.

[@MrMusicM67]

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

[@ghost3r_07]

Thank God i am asian😂😂

[@AnandNk-ld4du]

9 - 5(x -8) = 9 -5x +40 U are teaching in a wrong way in this step Because 9-5 don't have the bracket so the x -8 term comes to only 5 Remember that

[@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.

[@Studies2217]

(1) true, (2) false, (3) false, (4) true, (5) false, (6) false, (7) true, (8) false

[@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

[@cantingvenus2]

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

[@Lifelessons111]

Hii can you please explain the fifth question? Why is the answer 1 + (x/y)?

[@_humanbeing_Homosapien.]

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

[@dumplinglover8042]

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

[@DeiMuDon]

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

[@shaikrajiya1134]

In our India we never make these type of mistakes 😂😂😅

[@Kittypaws200]

Bruh which India you talking about , cus I'm sure it's not the one I live in

[@YashRG70]

Then why are you watching this 😂

[@somerandomdudeadd123]

@@Kittypaws200then you are disgrace

[@dimegogaming4668]

Kyun bhai aisa kya krte ho jo😅 Hum to krte hai ye mistakes🙂

[@dharunchandran1497]

As a indian myself even tho I am an averager in math I sometimes get confused in the basic suddenly.. this is basic saver!!❤

[@SpeedyYTGD]

bruh how are high schoolers making this mistakes 💀

[@charg1nmalaz0r51]

the same way you probably did, unless you got 100% on everything you did

[@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

[@kanishkadhoke159]

This is relevant for middle schoolers in india....😂😂😂highschoolers... Do much more difficult things than this

[@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.

[@TheCreator67]

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

[@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

[@blessedlife156]

So helpful as a sophomore❤ Thank you professor😅

[@mmmcola6067]

I want to know though.... Why must multiplication be done first before addition? I know how to do it, but I dont know why I have to do it.

[@willjohnston2959]

If everyone always used lots of parentheses you would not need an "order of operations" guideline. People seeing [(2 + 5) * 7] would know answer is 7 * 7, or 49. People seeing [2 + (5 * 7)] would know answer is 2 + 35, or 37. The only rule we would need is "evaluate according to grouping symbols from innermost to outermost". But this would require lots of parentheses. The order of operations is a set of conventions that help people agree on how to interpret expressions when parentheses don't guide us. Using this set of agreed upon conventions (rules) you can say 2 + 5 * 7 is going to be interpreted as if it were written (2 + (5 * 7)). This helps us with more complicated expressions too. We can write 3x^2 + 5x + 7 and know people will actually be interpreting it as (((3 * (x^2)) + (5 * x)) + 7) without us having to carefully write all those parentheses.

[@greenlite5588]

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

[@WeeD.Slayer56]

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

[@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.

[@bossthanh2007]

18:31 1) True 2) False 3) False 4) True 5) False 6) False 7) True 8) False I want to share this to my friend lol, he is always getting blunder of solving math, didn't even hear my success ways 😂😂😂

[@johnmarcusengreso8273]

Brooo the constant BWAAAAM is sending me 💀 Very awesome video though

[@willlagergaming8089]

Lmao I want to say this in response to the thumbnail. "Only american would make that mistake"

[@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

[@prelimination.]

me in the 6th grade who already knows these:😳edit: the students solving the questions made me lose brain cells 😭

[@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

[@pihoosrivastava1956]

Maths hasn't exactly been my strongest suit but never in my life have i made these mistakes😭😭

[@nemesisdtw224]

Your math teacher when he/she sees it umm actually... Chal ghuthi 🤓

[@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!

[@masterngunezi6396]

What Software are you using there?

[@yourmathtutorvids]

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

[@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

[@JSmanthe3rd]

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

[@penguine4166]

Someone making these mistakes should seriously question their upbringing

[@reaction.06]

Thankyou ,this video was so helpful for me. 😊

[@blacklight683]

12:37 i dont get it.. it should be log(x)×log(y)

[@EPICKUNJ]

Yeah

[@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.

[@lilysticha7564]

I'm not even a teacher but this video caused me literal pain

[@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

[@mythzx849]

I'm a 11th grade student, peoples in my school were normalizing the 10th mistakes 😢

[@birendra9042]

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

[@Maroof_gamer046]

These mistakes are followed by weak maths students

[@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 + -)

[@Shravan.R-mh3wv]

Student from Class 11th jee😂😂 👇👇 vote 😅😅

[@zasso8650]

1) True 2) False 3) True 4) True 5) False 6) False 7) True 8) False Correct me if I’m wrong.

[@delaxshinej7978]

Can you explain to me in number 5 y and y are like terms so why don't they cancel each other?

[@Jana-xu2xm]

I'm also quite late but why is 3 true?

[@atlantis7070]

Shouldn't 1 be false? Doesn't a negative number squared equal a positive?

[@bigfatsh1t926]

@@atlantis7070 its not in brackets, my guy

[@abeikudarkwa6328]

3 is false

[@nssboss91]

So basically, if you don't know basics, you FAIL🤔

[@astrovizion5192]

this is gonna get students into universities

[@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

[@TonyStack]

First!!!!!!!

[@BEASTBOYSHUB_H]

Your left hand is your dominant hand . Right ?

[@MoschA-A]

This video triggered me

[@omshinkar6698]

Bro seriously, i am JEE student 😊.

[@marwanahmed594]

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

[@daviddcoder6698]

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

[@cryodarkflow1508]

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

[@Stranger-yd5iw]

This video taught me more than my math tutor ever did

[@gakulchoudhury]

Thanks very much.... i am going to give class 10 boards.... but i still had confusions about these things

[@sire_99]

High school maths? Really? This is 5th grade maths.

[@vulxor1514]

🤓🤓🤓

[@lightning-106]

fr fr

[@intergalactic_hamster8131]

🤓🤓🤓

[@CH-wq4gb]

Yep 🤓

[@ovnEtAim]

I didn't even know algebra's existence until 7th grade whatt

[@deepakdagdi6887]

Even math teachers watching this😂😂😂😂😂

[@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

[@TaimTeravel]

Never in ny life I have made these mistakes. 😂

[@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.

[@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

[@agr1ma]

as an indian kid of grade 9 i can confirm i dont make most of these mistakes

[@samuelavellaneda2297]

Only 4 and 7 are correct

[@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!