I remember, when i was in 6th standard, there was a chapter,"integers", where we were taught negative number multiplication, and i always used to ask why (-)×(-)=(+)....but never got the answer....but today Aman Sir gave the Answer, and that too in such a simple way....12th mein hu, 6saal lag gaye isko jaanne hain😂
@saranshmandal95
2 жыл бұрын
kzitem.info/news/bejne/ppiK06CBi3uCdIo
@anonymous10809
2 жыл бұрын
Oh bro really I am also in class 11 and after 5 years I came to know about this. 😂😂😂
@mohd_sajid-nawaz123.
2 жыл бұрын
Pata hi nahi chala yaar kaise samaay beetgaya 😕, 6 saal kab hogae
@NaitikSinghA
2 жыл бұрын
I am in 6 now
@sumeetkage7160
2 жыл бұрын
Me to 😂😂
@aneekmandal5430
2 жыл бұрын
I gave this question yesterday to sir on yesterday's batcheet aur sir aapka approach mujhe bohot accha laga
@mannidahiya698
2 жыл бұрын
bhai khel ga
@chandranichaki9580
2 жыл бұрын
kzitem.info/news/bejne/zaeMq5uMnpNld5w 😊😊😊
@sanidhyaojha5676
2 жыл бұрын
I never thought of this question but when i taught integers to my junior i explained them through number line jumping and it actually was right😁
@imdevil8329
2 жыл бұрын
Kaise bhai hamey bhi batade jara...mtlb addition subtraction samjh aata h jumping se Multiply batan pls
@aayushbhardwaj6735
2 жыл бұрын
@@imdevil8329 he is right ,watch don't memorize video
@uttamraj3786
2 жыл бұрын
@@imdevil8329 multiplication is basically repeated addition.
@khushsharma6470
2 жыл бұрын
@@uttamraj3786 but bro -5 is added -3 times it doesn't make sense
@saranshmandal95
2 жыл бұрын
kzitem.info/news/bejne/ppiK06CBi3uCdIo
@harshitgupta7987
2 жыл бұрын
U can imagine - as a sign which represents negative of a no. So whenever u multiply a negative and a positive say 7×-1 the -1 will give us the opposite of 7 same goes with negative whenever you multiply it by negative it gives us it's negative .. -4×-1 the opposite of -4 is 4 ..
@royalbeastz8495
Жыл бұрын
The happiness I see among people after truly understanding even this basic thing makes me realise that we all are mathematicians deep inside , we all are same, its just the minutes change in our surrounding we grow up that leads to different tastes, interest, personality etc.
@AnyaForgerIIT
Жыл бұрын
Very True
@royalbeastz8495
Жыл бұрын
Mahh goshh!! Thanks for the likes ☺️
@dab6923
Жыл бұрын
True
@akshaysekhar4890
Жыл бұрын
Absolutely
@azharlatif6228
2 жыл бұрын
To avoid this conundrum we use Double Entry method to show profit-loss.At the close of business final balance was losss of $15.Next day the final balance was $15 in profit.Hence the ledger entries will use + and - symbols such that -15$+15$=15$-15$=0.Also actual cash was( -3$)(5$)+(5$)(-3$)=0.Hence the business didn't go bankrupt up till the third ledger entry.Therefore (-)x(-)=(+).Settling total debt of -15$ must be +15$ which must be(-x-) that is (negative value X negative value)= Positive value.
@taimooramin5253
2 жыл бұрын
As a medical student,but you won my heart
@f.fgaming8155
2 жыл бұрын
Not properly explained. So basically what I'm trying to say is that (-) sign indicates opposite direction. So you have to add it in the number line like this - (a) 5×3 = 5+5+5 or 3+3+3+3+3=15=(+) and your answer will be + 15 (b) 5×(-3) So you have to add in number line like this (-3)+(-3)+(-3)+(-3)+(-3) But we know negative side is equal to positive side but opposite in direction so if we take positive of all -3 then answer will be 15 but will be in opposite direction so ans is -15 Similarly, (c) (-3)×(-5) Here if we assume it 3×5 the ans is 15 , now let It is like (-3)×5 = -15 {see (b)} Now again (-3)×(-5) will give opposite of -15 which equals +15 Hope you guys understood it visually
@munawwerhussain4960
2 жыл бұрын
👌👌👌
@arjitabhadauria3426
2 жыл бұрын
Jodd or wot
@shardultripathi1756
2 жыл бұрын
You explained correctly, but in exam if this is asked we will have to prove it instead of making others understand visually, so he is making us prepared for the exam otherwise everyone knows it visually.
@mridulsarmah2939
2 жыл бұрын
Then please do the same for ✓2×(-5). Can you write it in terms of addition? So, The problem with your proof is that you can't generalise it. And hence, it is not even a proof. It is just an interpretation. What he is doing is a proper proof and that's how you are supposed to do proofs in Maths.
@mridulsarmah2939
2 жыл бұрын
@@ANUJCREATIONS_4518 If you want to learn mathematics you must follow methods. And methods are not imaginary, they are based on actual logic.
@sukhchanbiswas6477
2 жыл бұрын
I must thank Aman Sir for providing us such a great knowledge.
@sameerkrishnavines706
Жыл бұрын
It is not complicated but it is not taught in school
@abishaikh314
Жыл бұрын
Right
@a3xccy379
2 жыл бұрын
After learning this in school in 6th I was stumped but since nobody asked this question I took it as a postulate. (2008) However now in 2022 I'm rediscovering maths with logic :)
@omkardeshpande5574
2 жыл бұрын
Great explanation sir.... Simple problem and deep concept. Happy to see that people like u are working for maths.
@inquisitiveindian36
2 жыл бұрын
This can easily be understood by timeline. 5*3 means 3 times of 5 which means 15 on right side of time line, -5 *3 means we are doing 3 times of -5 that is -15 but -5 *-3 is we are not only doing 3 times of -5 but also by using - with 3 we are changing direction. That means - of -15 that is right side of 0. Hence +15
Maturity is when you understand that, still the question has not been answered. It basically telling the same thing, using a different approach, that's it .
@art_world-.
24 күн бұрын
Actually....😥
@bktprajapat8882
2 жыл бұрын
Sir paheli baar ऐसा कुछ सीखने को मिला आनंद आ गया❤️❤️❤️❤️❤️ 👍👍👍👍👍👍👍👍👍👍👍👍👍
@arghyapramanik9912
2 жыл бұрын
At first let's assume that we have to give two pens 3 person each then total number of pins we need is 2+ 2 + 2 that is 6 or 2 × 3 ... Cost to take two pens from from each three persons then it will be ( - 2 )+ (- 2 )+ (-2 ) and the answer is minus 6 and minus here represents taking not giving that that is inverse process of something Now if we consider we have to take -2 pens from -3 person That means we have to take 2 pens from - 3 person We can't take from negative in this particular case And for minus we have to reverse the process then it will be to give the pins to 3 people each
@off-beatgaming4151
2 жыл бұрын
Btw 2+2+2 is not 2*3 rather it is 3*2 because it means 3 groups of 2...
@ssstriples5105
Жыл бұрын
Dear Sir and all those watching this.. Amazing great video first of all. However explanation of this is given in class 6 book of KC Nag. Many of us donno this book name. He is considered a legend in maths from 1930. Please go through..Also you ll get real life significance of this in that book.
@prithwiraj1462
2 жыл бұрын
It can be proved by uesing COMPLEX Analysis. convert the number into complex exponent form then do it.
@Mir_0919
2 жыл бұрын
Actually you have to first know what minus is .... Since minus is the mirror image of positive and vice versa ...So if u take the Real line and check What is the negative of positive it'll be obviously negative as mirror image of positive is negative so (-)*(+)=- And then the mirror image of negative is obviously positive I,e (-)*(-)=+ gives us the correct ans ...(where * indicates of ...) Try to understand the hidden concept behind all the things of mathematics,u ll really feel the beauty of maths ...
@harshitpandey5252
2 жыл бұрын
Nicely explained
@mayureshclasses2254
2 жыл бұрын
This property of ring theory Algebraic structure (R,+,.) Additive inverse of ab is a(-b) a(-b)=-(ab)
@mayureshclasses2254
2 жыл бұрын
Where R is denotes ring Like real no ,complex no , matrices , and rational no.
@nanigopalbehera7017
2 жыл бұрын
I was hoping for an intuitive approach. But proving it algebraically is interesting as well.
@anujpal9370
2 жыл бұрын
Not really 🙄
@nanigopalbehera7017
2 жыл бұрын
@@anujpal9370 ?
@j.u.4.n620
2 жыл бұрын
I thought it with mathematical reasoning,, If a positive(correct) statement is negative(wrong),, then the sentence is +-=negative(wrong) Similarly--=+
@I_m_soul
2 жыл бұрын
hydrogen is gas oxygen is gas when they meet ,they turn into liquid called water why?
@Spammingofvideos
Жыл бұрын
I clicked on this video to understand ''WHY" not "HOW"
@knowledgechannel4366
4 ай бұрын
Yeh toh bdi acchi baat kahi aapne janaab
@joydeepsingh9113
2 ай бұрын
exactly ... all the videos on youtube are explaining this in a stupid way that actually doesn't explain everything .. it turns out these youtubers themselves don't know anything..
@rijindas-yq7bn
2 ай бұрын
Well said! 😂 Shortly, I'm going to write an article on this topic and would love to share with you all the answers to why the multiplication of two negative numbers is positive.
@Olympiadmaxx
Ай бұрын
@@rijindas-yq7bn link it here after writing it
@abloodygun
Ай бұрын
Haa, ya completely wrong hai. 0*3 = 0 kyu le liya apne man se. Ch*t*ya banata hai
@rupishere
2 жыл бұрын
Actually Bramhagupta had set all the rules about negative number . But sir this is impressing 👍👍
@siddhant5631
2 жыл бұрын
Mathematical problems always solve by mathematics visualization and imagination. That is the thing would all have to understand.
@shahbajalam7680
2 жыл бұрын
Thank you sir. Being a student of class 9th it is a pleasure for me to watch your videos
@Tan-sj6bd
Жыл бұрын
Now that's what I call the beauty of maths! Thank you sir. ❤
@subhamoybanerjee6724
Жыл бұрын
It would be clearer if you spot the numbers on the axis of a graph and then explain how the product of two different sides becomes positive or negative or vice versa.
@4farhan4
2 жыл бұрын
As far as I remember, only M L Aggarwal has answered this question in his book. All other authors just state it as a "law" and move on because this is something never asked in the exams. Most Indian authors write bad books.
@eiyp3
Жыл бұрын
What was his answer
@sbacademy6059
Жыл бұрын
the explanation is: negative number is opposite of positive on number line means its direction changes on number line...so if a negative number is multiplied by negative again then the direction of number again changes from left of zero to right of zero
@cringetube6778
Жыл бұрын
Currently in 9th and it's good to understand this concept
@nimishbansal8282
2 жыл бұрын
I don't know why it felt I was listening aman dhattarwal for while
@karthikkp2815
2 жыл бұрын
Sir i tried understanding this on my own in childhood by using number line(ball jumping from number to number in the tables format)
@शनिकर्ण
2 жыл бұрын
me too bro
@शनिकर्ण
2 жыл бұрын
@@AmaanibnYasir ji ha vai sahab ji
@AamirHLone
2 жыл бұрын
It is Group (R,+). And every number -(-r ) for r positive denotes the inverse of -r which is r. Actually this man is using associativity of binary operation viz. (-5)3 = (-1)(5.3) = -15 where -1 is the inverse(ordinary additive) of 1. And similar Ring or structure properties.
@JatinRanjan-v6y
Ай бұрын
But where is why 😮😮😮😮
@shrutin3941
Жыл бұрын
I relate integers to the Earth's surface.Negative numbers are like digging the earth and positive numbers are like constructing something on the Earth and zero being the surface. So when, 3 is multiplied with -5 It is like digging the earth thrice with unit five which gives -15. When -3 is multiplied with -5, It's like trying to dig but actually you construct because if it was just +3 you do the action that 5 says but if it -3 do the opposite action of what 5 says. So -5 says to dig 5 units but since we multiply with another negative do the opposite
@ABC-wn2id
2 жыл бұрын
Sir please bring more such videos this very helpful and make video on origin of imaginary number
@aadityasj1917
2 жыл бұрын
sir I thought you would teach this with some scary graph or limits, but it was smart way and very simple thanks a lot
@Bhargavi-pz9xf
2 жыл бұрын
I have a question Why is any whole/natural number usually written x/1 Like 1/1,2/1,3/1 It's an improper fraction and how do express it in real life
@technicalmaster3200
7 ай бұрын
This can be also done by : Let, -ve *-ve= -ve. Cancelling -ve boths sides =>1= -ve which is not possible therefore negative *negative =positive
@segayanmx4442
2 жыл бұрын
Fantastic demonstration ! Well explained ! Thanks !
@chest_no_33
2 жыл бұрын
After 5-6 years 😅😅 and now I know this thing 😅 thanks sir
@GursewakSinghOfficial
2 жыл бұрын
SIR ISS CHANNELPE JEE KE SATH SATH ADVANCE LEVEL KI MATHS BHI DAALDENA DHEERE DHEERE 😁🔥✌ BEST CHANNEL FOR MATHS ❤
@dynamicshiksha7560
2 жыл бұрын
It's simple concept of modern algebra...
@Nature-rf7jk
2 жыл бұрын
So but unfortunately we don't have answer to every why question. questions like 1. Why we die? 2. Why life and what is purpose of life? 3. What is life fundamentally? And most important what is consciousness?
@satyammishra7273
2 жыл бұрын
1. You die because you are considering yourself body only and body will die as it is nothing but a packet of chemicals 2. Why life? Well because your parents did something Purpose of life? To be better spiritually and more understanding by the end of each day Another purpose is to reduce our flaws and attain salvation 3. A journey which you can make boring(like 99% of people) or you can make it adventurous
@satyammishra7273
2 жыл бұрын
And what is consciousness? Well i am not eligible enough to answer this so i recommend you some philosophers like Jiddu krishnamurty, osho and schopenhauer
@Nature-rf7jk
2 жыл бұрын
@@satyammishra7273 thank for your interest in such type of questions, but philosophy already gives it views on this all questions but I still want some checker method to check all this
@Nature-rf7jk
2 жыл бұрын
Say if someone say water boils at 100Φc then we can check that but what after death is such type of questions that we can't It may have two possibilities 1. There is something after death 2 or there is nothing after death But both possibilities we can't tell to this universe people after our death
@satyammishra7273
2 жыл бұрын
@@Nature-rf7jk Can you make it more clear I mean what exactly you are saying
@ayarottilsandeep545
2 жыл бұрын
I believe the core reason for question is to understand why negative multiplied by negative is positive...... Not to prove it..... Sir, please first make them understand one thing that negative is just a way of representing a value with its direction Or negative in the sense it's the direction and i belive it will be much much better if you make the student understand with the number line system and with the raw meaning of multiplication (adding number of times) .... Now hopefully most of them will be satisfactorily understand.... Why -ve *-ve is positive. You can also give an idea of scalar and vector theory to understand.
@chandanbanua6601
2 жыл бұрын
Wow amazing Thank you so much Sir 🙏❤️ For explaining this in easy way.
@sido157
2 жыл бұрын
I hope sir you read my comment , mates this is not right I am not denying the fact that it can be written like this but this does not mean that the LOGIC behind it is like this . This is a way of writing which takes us to the answer . According to me this is like when we multiply two negative numbers the answer becomes positive as when we are multiplying two numbers which are negative we want to get the answer which is positive , we see that when we subtract two negative numbers we move forward in the number line as -1 is the biggest number in it . Here to we have to gain the biggest answer possible which is of-course positive (-2)*(-2) = see here , we are repeatedly adding two negative numbers that means moving to the left makes the number smaller and even smaller , and moving to the right makes the number bigger even bigger , because to the left after 0 we have positive set of numbers . Our motive is to repeatedly add these numbers and gain the maximum answer possible which is positive in this case a negative number which is to be more negative has to be smaller but when a negative number has to be more positive to be bigger ! This means when multiplying two negative numbers means repeatedly adding two number which are morally to be smaller and have to attain the value of being bigger as they're getting added repeatedly they will move towards the right side of the number line and attain the bigger form which is positive in nature . I understand the fact that my idea is not there to be criticised or it is fully right , but in the video the thing shown is of even higher level , it shows how to prove that negative times negative = positive , which means that it fails to explain the basic nature of the idea behind making a number positive when being multiplied . Thanks For Reading I hope you people revert the fault if any :)
@lonefaixn9150
2 жыл бұрын
Kitna time laga yeh lekhni mai jii
@sido157
2 жыл бұрын
@@lonefaixn9150 why are you seeing time behind it see the effort :) 10-15 mins maybe less or more
@shahmuneeeb4333
2 жыл бұрын
Sir, you are great , greater and greatest 😍😍
@dskushwaha
Жыл бұрын
That's not the way concepts are taught. It's just a proof using some known mathematical rules. Whereas conceptual methods are such that even a non-maths student will be able to understand.
@arnabsaha6848
2 жыл бұрын
We can also explain this in terms of chemistry. - attracts += - but - repels - =+ where +=repulsion and -= attraction.
@rogerd7646
Жыл бұрын
If you could explain with example what it means to multiple two negative numbers, then we would be more satisfied.
@mubarakisonline
Жыл бұрын
I am thinking the same How we can practically check this with physical demonstration?
@pradeepdua3916
2 жыл бұрын
True feeling of Maths 👍🏻👍🏻👍🏻
@sam_ir__7461
Жыл бұрын
We can prove it using number lines as well🤔🤔 Negative number means 180° rotation. If we take 2 negative lines. 1st it rotates to -ve x axis. And when we take another -ve, that rotates another 180°. Which means 360° rotation from +x axis. And there you go. You got that positive line
@shreevatsa_naik
2 жыл бұрын
Sir ne to bhannat bolna hi band kar diye hain😕😕
@somachhukuwa9439
2 жыл бұрын
Sir why positive number become negative and negative number become positive when we transfer it from left to right or right to left in given equation? Please make a video on this!
@ayushkumthekar3439
2 жыл бұрын
Sir is very khatarnak He can prove any thing Tomorrow he will prove 1=0 Khatarnak hai bhannat sir🤣🤣🤣🤣🔥🔥🔥👍👍👍
@raghvendrasingh2990
2 жыл бұрын
Math nhi aata tujhe kya??
@manurastogi7521
2 жыл бұрын
Good approach to teach basics of integers, which I never think before..............
@robertlewandowski4466
2 жыл бұрын
Best teacher.
@himanshumaurya8181
2 жыл бұрын
Kuchh bhi 🤣
@keshavjha3315
2 жыл бұрын
Multiplication is just form of addition.. using number system line also you can understand.
@dildaransari1888
Жыл бұрын
I was in very confusion for three days, thank you very much Sir today I know it with the help of you.
@bharatraval347
Жыл бұрын
बहुत सरल तरीके से समझाया है, और शानदार तरीके से साबित भी कर दिखाया है। अति सराहनीय! धन्यवाद!
@veertejaji36
2 жыл бұрын
Great explanation 🙂🙂🙂
@boltez6507
2 жыл бұрын
The distributive property was based on the convention therefore using it doesn't seem the right way...
@shyamsworldofmusic4378
2 жыл бұрын
I thought it's wrong because in an equation we can multiply or divide any integer except zero. Here, in that way we can prove any integer =any integer, e.g 5 = -10
@targetgovexam0792
23 күн бұрын
Practically on field it's not postive suppose you give discounts 20% then after 10% in your object and you are shopkeeper -20×-10%= result at the point of shopkeeper he in loss
@mehuljha4480
2 жыл бұрын
Sir Doubt h BODMAS KE hisab se phele bracket solve hoga na Phele he simply hoke 0 hoga Bracket Wo to tab follow hota h jab bracket simplify nai hota
@mayanksinha3939
2 жыл бұрын
Yes bro I have the same doubt..
@barnalisarma9992
2 жыл бұрын
Sir ne...distributive law ka apply kia hai....Solve karne ke liya...agar BODMAS use karte toh...LHS pehle se hi...0 ho jata...isliye...aisa nahi kiya... distributive law ka apply kia
@banadeepkalita1848
Жыл бұрын
Great discovery by easy explanation.Thank you very much, Sir!
@saptarshisahoo5075
2 жыл бұрын
The main reason i don't like this type of videos because these videos try to bring down the essence of mathematics. The correct explanation would be to identify the underlying concrete mathematical structure. Which goes on as: (R,+,*) forms a commutative ring. Rest can be deduced from the axioms of ring. Which he essentially did but without specifying the mathematical tools involved.
@z.sstudyjunction712
2 жыл бұрын
But there is one more question.. Why we change the sign of a digit when it's transferred from one side of = to other ....?
@graduate_001
Ай бұрын
Jee 2025😂😂 Aspirants 🎉🎉❤All the best guys 😅
@TheKattarSanatani-108You
7 ай бұрын
This teacher is born to make you Love Maths !! Literally 👌👑 TODAY I'VE FOUND A GREAT MATHS TEACHER.🙏👑...
@misterproton9839
2 жыл бұрын
Perfect sir 😎👌🏻💯💯
@aberattedaniketdatta4126
2 жыл бұрын
This is how properties of zero are proving other important concepts really amazing....❤❤❤❤.....infinitely
@rabrakha608
2 жыл бұрын
In maths we keep oscillating between zero and infinity. So there has to be equivalence on both sides. The simple way of living peacefully is that keep leaving but never leave believing in yourself. 👍👍👍👍👍
@FundamSrijan
Ай бұрын
Kisi seedhe insaan ( +ve ) ko ulta ( -ve ) karoge to vo ulta ( -ve ) ho jaega Par kisi ulte ( -ve ) insaan ko fir se ulta ( -ve ) kardo to vo fir seetha ( +ve ) ho jaega 😁😀🙃🙂🙃🙂😬😬😬
@Anchit108
2 жыл бұрын
Sir mujhe maths se bohot dar lagta tha, par sir aapse maths sikhne ke baad mujhe bohot jyada maths pasand aane lag gaya h sir, thank u very much
@wiseindian8131
2 жыл бұрын
this is explanation of how not why. my question is WHY is it happening?
@arnavverma2461
2 жыл бұрын
Wow sir you are amazing 🤩🤩🤩
@LanceWilson_RYDER
14 күн бұрын
-1 = -1 1/(-1) = -1 Multiplying by -1 both sides 1 = -1(-1)
@thepsychojoy4597
2 жыл бұрын
Appreciated,But You can also explain it bit easier way. With Number line and the concept of multiplication in x awis.
@mianawais7536
2 жыл бұрын
Very good method Keep it up 🙂
@utkarshdwivedi0076
2 жыл бұрын
Explained very well sir👌👌
@rdx-bhai990
2 жыл бұрын
THANK YOU SIR हमे यह तो समझ आ गया कि (- * - =+) but जब हम किसी negetive number ko left से right le jate hai to positive क्यों होता है | या जब हम किसी positive number ko left से right या right le jate hai to negative क्यों होता है|
@TheWhiStLerBoY
2 жыл бұрын
thank you sir for giving such a awesome explaination but can u please solve it on number line 🙏🏻🙏🏻🙏🏻🙏🏻
@Nature-rf7jk
2 жыл бұрын
If we allow diving by zero in mathematics then every number equal to every another number, so Firstly it sounds like nonsense but think it may signify something about this universe that we still don't know...
@sharadsingh3672
2 жыл бұрын
Sir why we get zero when we multiply any number with zero?
@shreyassharma8277
2 жыл бұрын
multiplication is essentially the addition of a number a particular number of times. Doesn't matter how many times you take 0, you are going to have 0. You can further prove it by real-life examples as that would be more relatable to understand,like taking 0 slices of cakes a 100 times would still mean to have 0 slices
@sujaychatterjee3945
2 жыл бұрын
@@shreyassharma8277 yes sir👍👍🙂
@karansahni6843
2 жыл бұрын
Ur way of teaching is god level sir... Ek hi baar me smjh aa jata h mujhe... Calculus se nafrat thi mujhe pr ab pyaar ho rha hai.... Agar read kiya aapne to heart dedo ❤️
@gautamgupta6029
2 жыл бұрын
I appreciate it and recommend to CLASS 6TH STUDENTS WHO DEAL WITH -VE INTEGERS FOR THE FIRST TIME AND COULDN'T UNDERSTAND WHAT'S GOING ON???!!?? JUST LIKE ME🙄🙄😃👍♥️
@RizwanNoori78
2 жыл бұрын
Sir you are really great sir all the doubt which comes in our mind you make it clear 🤔
@Irrfannn
2 жыл бұрын
You earned a sub ❤
@sujoychowdhury8103
22 күн бұрын
-1 is cos π , which is e raised to the power iπ .... Now -1 × -1 is e raised to the power i2π.... Whish is cos 2π .....that means 1
@bhaskardwivedi9722
2 жыл бұрын
Samajh sakte hai par mahsoos nhi hua
@editprov869
7 ай бұрын
-a × -b = ab ,but this is wrong Why??this is so because -a × -b = -1(a×b) = -1(ab) = -ab Eg., a = 3 b=4 -3 × -4 = -1(3×4) = -12 We can tell that -a × -b = ab or -ab
@aryanbakshi5977
2 жыл бұрын
Great teacher of Mathematics I have ever seen 👍
@munnaazam8182
2 жыл бұрын
Sir, yeh kabhi socha hi nhi tha, aapko koti koti pranam
@gaurav7582
2 жыл бұрын
Sir i have proved same using geometry, trigonometry and basic algebra
@angelinageorge2278
2 жыл бұрын
🙂
@mridulsarmah2939
2 жыл бұрын
Can you show me the proof where you used geometry and trigonometry?
@tcnobita3513
Жыл бұрын
A true mathematician will oppose this example and it is not acceptable because you cannt write 0 as (-3+3) because we don't know where that 0 came from it may come from 8-8,6-6 etc but it is proved here because the statement is true that (-5)×(-3)=15
@lakshaybhatia143
2 жыл бұрын
Brilliant teacher....❤🔥
@khurram2970
Жыл бұрын
Thats proving this through mathematical equations. Better to understand it intuitively. -5*-3=15 Suppose you have 5 rupees net worth. Then 5 is positive. If you have 3 bank accounts with 5 rupee each, then 5×3 times=15 is your total networth. Now suppose you have 0 savings. Instead you have a deficit of 5 Rupees that you have obtained as a loan. This is your payable. It would be called -5. Suppose you have obtained 3 such loans from friends. So your total deficit or amount payable is -5×3 times = -15. Now taking this example forward, suppose you have 5 Rupee loan (i.e. ‐5), but this time you have instead of 3 such incidence where you are in debt and owe your friends some money, it is the opposite instance where the 3 friends owe you money. This would be denoted as opposite of 3, or (-3). So basically loan (-5)*(-3) = 15. Your total receivables are 15. Your actual networth is in positive, as even though you dont have the cash, but youre not in deficit but instead have receivables of 15 Rupees. In simple terms "negative" is the opposite of positive. To give another example from daily life, enemy is the opposite of friend. If having a friend is positive, and an enemy is negative, theoretically a friend's friend is a friend (+×+=+). A friends enemy is an enemy (+×-=-). An enemy's friend is an enemy (-×+=-) and an enemy's enemy is a friend (-×-=+).
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