ok so kids my voice is clear video it is clear, respond once yes or no All the children in All the children responded in yes or no. my voice is clear video is clear Is nice ok so welcome back I am Ramni Tiwari Teacher trainer and motivational speaker you all Welcome to the official channel of Viral Maths let's do this is going to be our first session On Viral Maths and this session goes on like this It will go on like this and it will go on till then will remain as long as children who learn mathematics there is fear about it, there is dread, there is terror, It won't end, it won't end, I'm sure Believe me, children, there is no such thing in mathematics The topic will not remain even if you are a banker Be an aspirant whether you are an aspirant for SSC Whether you are an aspiration of the railways or What I mean to say is that the entire competition in our country and in which competitions Mathematics is asked in all those competitions Keeping in mind all those syllabus Keeping in mind that every single The topic will be covered and this series Every single thing will be introduced in the series very good start very nicely it will be done ok and it will be done till the end i.e. From root level to very high level It will be a very awesome session You guys are going to learn a lot from this Just listen to one thing carefully in this session Do not miss this session i.e. this series It is going to run as long as it runs, meaning a lot It's not like it will keep going on, it will keep going on Hasn't it kept moving like this for eternity? It is not like that, let's assume that it can happen There are 100 classes, each of one and a half hours, right? 100 There may be 10020 classes but these 120 100 to 120 days if you work hard I read it with full dedication and full focus I studied it with full discipline and the You are being told that if you did it well I noted it down i.e. proper notes If you keep making it, believe me, believe me The fear of mathematics that you have inside you that is it will be gone forever The core or the root or the depth That's what we're always talking about it will reach you If it reaches, let's start let's get started i can see it that our first class is starting and I can see 1.1 i.e. around 1100 Kids are watching a new channel here. Ofcourse it is a new channel and believe me it is our The country's largest mathematics channel I can say this with certainty This is the biggest mathematics of our country will the chain be created if not today then definitely tomorrow today we People started from the very basics You started from a very small level, right? But you and I remained together, that is, like this Like we all have seen this viral maths show a lot. Made it big, made it the biggest show in the country gave the calculation which was done early in the morning at 6:00 a.m. This channel runs in the same way as Viral Maths also and the studies which are being done here are One thing will reach a child and one will reach a big one We will make more commitments here, whatever These are the things that will be provided to you here It will never happen that we stop it midway After doing this we will say that the rest of the studies You will have to continue doing this in paid batch What we read to you here will never happen This series is going on till then It will continue like this until our whole The syllabus is not over yet and till then I Don't feel like that yes friend it's done Isn't it more than I have given to the kids? Maximum things have been provided till then You get these things free of cost If everything is fine then it is the festival of Rakshabandhan Today I thought about telling my brothers and sisters What greater gift can we give than this? if so, let's start, let's start Let's get started without delay Start early by breaking your stones of our beautiful session because we all There is a lot to read and there is very little time So kids, today's topic is number system now Kids must be thinking about number system only Why did you choose Dekho Kids Mathematics There are two things that you like to see the most means it is said that these two things Mathematics is incomplete without it There is no mathematics, right, in these two things Tell me what those things could be Number one is numbers without numbers What kind of mathematics do you mean, think about it and see that There will be no such question, no such There won't be any topic, there is nothing like that There will not be any such formula where But if numbers are not used then without numbers Mathematics doesn't have any meaning So you can't even imagine without numbers. And the other thing is calculation, so these two are the only ones the whole mathematics on things It is based on both these things and we let's start our work okay so first of all First we have the number system number In the system, you need to know that What are numbers and what are the needs of numbers Why did the numbers originate from? Where did numbers come from in our lives like this? So it is not that God had gone after seeing God only humans gave numbers to humans God gave birth to only human beings Humans gave their needs fulfilled searched for numbers to do okay so This is where we start first We will discuss why the numbers came out so well The first story, kids, is this Like if we talk about the Stone Age now you You will say sir there is no need for this Why are we understanding this in SSC? You will be asked how the numbers were discovered Will it be asked in banking or in railways Why are we learning about this, kids? See, only then you fall in love with something when you get to the bottom of it keep searching okay if you ever come across any any thing you think about if you up If you read the above then you will never like that thing It seems your mathematics is weak, right? The reason behind this is because you have beaten the competition I have studied Mathematics to crack it This is why I love mathematics I haven't studied Mathematics so Your mathematics is weak, mine was also weak when I started to understand mathematics when I felt that mathematics is so Mathematics can be so beautiful If possible then I will take up Mathematics My interest and love grew He went away and we are before you today as a faculty are standing okay so any subject Until you understand the bottom of it What is the usage of the subject and why was it made until you get there you will He will never understand that subject It'll only bother you okay so you need to know okay one Once you know it, you will very easily You can solve every calculation, every question You will start to understand and get to know the bottom of it It is necessary, friend, so it is a beginning Let us find out why numbers were invented Kids if we talk about Stone Age I By the way, the Viral Mess Foundation batch that was ours I have discussed it ok I discussed it a little bit today We will go into a little bit of detail about that When there was Stone Age, that is At that time, which we call the era We did not have numbers and then a The big problem was that everyone had There used to be cattle, there used to be animals and they used to live on their The one in the jungle nearby or wherever They were not shepherded, they took them along with them They had a lot of animals 10 It's 50, it's 60, now he should take it 60 But when you return home in the evening They know that one or two times would disappear It did not work, I took 50 but neither did 50 come nor did I get 40 He felt that the crowd felt less It is happening but who knows if it is that much then it will happen like this While doing it sometimes it comes more and sometimes it comes less Sometimes you bring someone else's, sometimes your own okay so this is how they There was a big problem that what should I do if I want to do it Now in addition to this, because he is a human being There is no control on his thinking, isn't it? Everything is born from thinking So what did the people of that time think? What did you think, let's do one thing which we The cattle are going, our animals are going We will walk with them carrying stones So if we have let's suppose 20 cows If 20 cows are going where in the forest then We will take 20 stones and wherever they stand You must be climbing your grass, right? we will put stones here and there we will put stones there and there we will lay the stone when we lay the stone If we are bringing them back, then as many We should have as many cows as there are stones There should be cattle, that is There should be animals if there are more stones than animals it is less means that our cow or Our animal is missing somewhere need to find it or something Imagine if the stone is less and the cow is more if it is more, then what do we understand by that This means that we brought the cow from outside Is it true that we should take someone else's cow If you have come then you must have originated from somewhere It happened that friend came to us through the stone We can do our own calculations You can count the cattle but one The problem also arose along with this what was the problem the problem was that many This happened once, my friend fell asleep on the stone Stone, now does anyone have 100 cows? If you carry 100 stones, how big is the burden? You are taking care of 100 cows together sir You are carrying even 100 stones And if a stone falls somewhere by mistake So you are in tension and feel like a cow more came or if you bought it from somewhere else If you lift too many stones then you will be in tension You're sitting in that jungle and not coming home You are saying that my two cows have been stolen Two of my cows have disappeared, what should we do? Stone is a different burden, stone is a burden If it happens then from here to here, this is their Discovered numbers mean calculations But it got postponed somewhere No, my friend, this isn't going to work We must have something else that won't work we need something else then There originates our natural of numbers i.e. natural numbers Now that you understand, a little note we will down and through that we people will try to understand Children Like now children are born here Whose natural numbers means natural numbers All the children would note down the numbers. It is important to note down only then mark it all things will be able to remain okay so first of all what things are born children Now what is this about natural numbers, kids? are natural numbers okay these are Natural numbers are called natural numbers so why do we call them natural Let's accept that God has given it to them that's why we call it natural This Ishwari because this comes first then this Where do they start from, they start from it is one to one to th four f and so on to where did this tooth come from these people mean that The people of that time said that the man who They thought that friend this is coming to us Now we are at the right place, it means we are in the right place You can perform the calculation if If we have a cow, we will call it forest If there are two then we will call it two, if there are three We'll call it three, if it's four then four is five So it will keep on increasing like this for infinite time Tooth four and so on till infinity ok this kid is saying sir viral maths Welcome to the History Channel everyone I have always said that something will happen that until we give you the depth Till then I don't feel at peace and that's it This is the reason why along with 247 I love this channel This is the reason for starting the channel internally and satisfactorily It's okay, it means you will be happy You will start doing mathematics so much We will develop interest in you All the children will understand about Mathematics So where did natural numbers originate from? started 1 2 3 4 5 6 7 8 9 10 ok And so on it kept increasing till infinity i.e. that right up to it very good now infinity It is also a huge game with lots of sessions where we will also talk about infinity We will discuss in great detail, okay, it's fun Will it be sufficient for you people at the moment? it is not sufficient because There is a problem here, The people of that time were getting that yaar tooth 4 We understand the meaning of our people I have three cows so I said three We have five cows, so we said Five but the person who has even one cow He doesn't have it, what will we tell him Which number will denote a problem now? Again I came and said hey friend who doesn't even have a cow should we call it forest or Then we will assume that someday this will happen it could not have been imagined that Come on friend, we will take it someday, so Let me tell you, give me a single unit let's say unit, unit means one One by one will come to him, if not today Definitely tomorrow but this is not specific It was not true that friend, really If you come there then a search begins, my friend It so happened that when someone doesn't have anything then How do we denote that, so there is a number and dues were done by us Isn't it respectfully Arya Bhatt ji? who discovered zero i.e. our I have got one number and it is listed that it is zero Then our counting started 0 1 2 3 and so on okay so it's called When India gave zero, then the world counted I came because your count is not complete you were stopping from one to nine After 10, you cannot even reach 10. There was no idea about 10 There was no thought at all because it was zero It was not okay so that's why the song was also called That is why it is said in the song when zero India gave it to the world then it was okay So from here zero is discovered and zero Here it is introduced who has There is nothing to it, we will denote it as zero will do and the reason is that because a human being made this means imagine because about them about any human being Nothing, but where did this come from, some human's There is no name but we know about zero You know if Aryabhatta made it then it is man made Gaya was made by man, not by man It was made so it was called natural But God gave me the entry from here After this the complete list of zero happened what have those whole numbers been converted into got converted into ok it got converted to whole numbers Let's move ahead and see the next one now I got to know about natural hole I got to know the numbers, okay? Now let us understand a little as an example Take children as an example somebody somebody somebody somebody If we give ₹ then here in counting we have There were some things, I gave you some money person means just assume that this person is Yours is fine, this is the person, he gave Rs. then The same person gave ₹ to someone, let's say that's enough It's a good thing that he is happy with this I hope someday he'll get his job back he will not come back or else understand it like this as an example in the sense that this person is the one who earned it How much money did he earn in one day? He earned ₹ The next day he earned ₹ and he is very happy that friend I have the total in one day How much money did you get? Patti 8 came. Come here. Till then the calculation is based on our number system The search had been completed and it was getting complete It was being verified, it was being justified Were you feeling satisfied that you earned Rs. So we wrote five rupees, we earned and wrote three so we saw the total is over but There again a problem arose that The person had given ₹ to someone Now he was unable to understand that friend we have 8 but which I have not seen from anyone I have given it to him, that is, whatever was owed to me How do I represent what I am I have already lent it to him, how do I represent him? When this is done then the search is done on which number that son, about negative numbers, that is, this which There is a negative sign, now the children will say sir This is relevant to our exam when you Mains examination in the examination Do you sit for it or like SSC CGL When you give examination, there is debtor i.e. that there are lots of negative numbers A lot of conceptual questions arise questions are formed by negative numbers which that is, what you are seeing here yes there are many multiple questions on this we will become conceptual we will become okay so if You know well about this negative number. If you don't know then you can crack the question you are not able to do it ok then what about it You should also know in-depth knowledge You must be thinking, Sir, what are you talking about? yes this is true when you give the exam in mains Will you sit or else we will ask you questions Will ask a lot of conceptual questions Just like this it is asked that what is negative numbers or symbols that show the debt Isn't it true that they show off their debts like this? When conceptual questions come then you You must be wondering which one will show the loan If there are numbers then negative numbers which If they show your loan then who borrowed it means the one who took it from whom Whatever happened will have to be returned is the number to be divided by negative started showing that is the negative Numbers would be introduced here again Isn't it true when the negative numbers start coming? then we will complete the collection of those numbers people call inti jours what do kids say int jersey say that is, what are the integers that You saw the whole numbers, just the negative of that Just the whole numbers you saw make it negative i.e. what will you do -3 say it -2 say it -1 say it, cry say it one speak tooth and so on okay how does this mean In the same way you can go to infinity here Infinity goes here meaning negative also becomes positive Also remember the integer including zero Which numbers are negative holes? Numbers or you can say negative naturals Numbers Including Positive Natural Numbers Zero because zero is also the integer number Any child falls in the category There was no confusion, there was no doubt, come on According to me, even every child You must have understood it, but now the examination I often see such question You can choose whether you want to give SSC exam or not Give banking exam, many times this happens there you will be asked, answer yes and No, all natural numbers are whole numbers Kids All Natural Numbers Are Whole Numbers is it correct or not all natural numbers are whole numbers you will say it is correct because all look at natural numbers 1 2 3 4 5 6 and so on and here also 1 2 3 4 5 6 7 8 so on This means all natural numbers are whole numbers. but if we reverse this, all whole numbers are natural numbers so it is correct or wrong then you will say why it is wrong because Zero is not considered as a natural number Zero is not a part of a natural number If yes then you should have this memory also The question should be asked like this: all whole numbers are integer The jury will ask you such questions in the mains where the statement is seen you will get to see questions wisely okay Then you will be asked whether all whole numbers are integers So you will say yes sir it is correct because Look, the whole numbers start from zero. And here you can see things from zero too. but its reverse is there if we tell you Are all integers whole numbers then you You will say no sir this is impossible because integers have negatives and We don't have negative numbers here. There is clarity, all the children should understand it well I am coming nice very good so this is You are getting to see things and we are like this You are noting it like this but you should know this The direction should also state that if Someone tell me that this thing is like this but this thing If this doesn't happen then his mind means those things It must be sitting very well in your mind If you need it, I have a plan for it that we will tell you everything in depth I will explain it using pictorial diagram, right? through ok kids pictorial All the children will see through the diagram So whose entry would have been first? yes son, the first entry is that Whose does it belong to you first sir The entry is there The first entry that comes is, son Is Are your natural numbers okay or what about yours? The natural number is done, it is fine, I have noted it down You guys must have heard this, kids The first entry that happened in our universe in our field of work what was that Natural numbers are ok, note them down about which you have written earlier that Where does this tooth and tooth start? who entered after this Children, our entry happened after this Whose was it it was about whole numbers right, after that our Who would have entered the whole numbers of the children Here the hole numbers are entered again remember where the whole numbers come from when Zero gets included, yes the tooth is like this it starts coming so what happened to you It's yours Our whole numbers are done, okay, do you understand? Went let's move ahead our third one is which one Children, the circle will come, after this we will enter it is about integers okay it is about integers Then there is an entry where the negative Numbers are also included right Negative numbers were also included again Went and from there we started Inti It's okay for you to keep noting these. it will become a little bit easier for us here Note down what is this, your identity Its done ok, I am studying number system If yes then read it carefully, that is It is negative as well as zero and also positive like For example, minus 4 is also -5 there is 0 there is one there is two and so on okay here come the integers now integer what happens to children after jerse After the jerseys, our rational entry takes place Keep this in mind as well regarding numbers It is also very important in the examination A lot of questions are seen on these what is this this is your rational number You will read every thing in very depth If you read carefully, there is no confusion anywhere Which numbers are not rational numbers? Now children, here the numbers you Whatever type of numbers you see You see, whatever types of numbers you see which you can write in the form of p ba q Sako means what you can say in the form of fraction I can write down all the rationales for all of them Parts of numbers come in categories come i.e. what I mean to say is that those who You can write numbers in p / q form where q is not equal to 0 in childhood You must have read this statement in your childhood, right? You must have read Numbers That Can Be Represented edge p / q where q means that Dino Minette is not equal to 0 such numbers which we can write in the form of p up q and whose denominator is zero If they are not equal, what would we call them? we call them rational numbers okay that means whatever fractions there are Whatever fractions there are for children, we People call them rational numbers, okay we call them rational numbers People say rational number, now the question is Children, please understand this thing a little which we write in fraction form Maybe they have become rational with us, okay understand that children will ask a very important question thing and this is part of your examination Whatever we are teaching here, It is a part of your examination, you feel It may be that sir it doesn't seem important Or you might think sir is boring come directly to the question, no That is the channel that gives pure death The child who knows mathematics will sit here You have to learn the entire past, present and future Have to learn which is absolutely core I want to know the exact depth of that child in this session who will look after other kids other wise you leave them those who want to know mathematics You have to understand Mathematics completely To get a grip, you need to know everything okay if he sits here then there are two types We will write the numbers here in front of you. There is one who is rational and the one who is not rational what will happen and it will happen, it's a simple thing Children who are not rational will become your illegal it will be ok keep taking notes now see who We can write it in p/q form What will happen, it will be rational, you have just seen it nor can we write it in the form of p/q yes we will call it rational so okay it Tell me quickly whether 2/3 is rational or irrational 2/3 of all children are rational or irral You guys tell me whether I said 2/3 is rational or not Irrl who will tell first Quickly all the kids that I wrote here but 2 up 3 is a rational that rational sir p up q We can write it in the form where q is the It was said that is not equal to 0, that is, this It is rational, cut correct those who will not be able to do it I will cross it out okay this is a good question Children you tell that 4 Are you 3 rational or not, quickly find out all kids 4/3 absolutely sir because one We call fractions rational numbers is it there and it is a theorem in hindi As the theorem states, 4/3 is a rational number, so because the q here is the value of zero is not equal should not be zero rest Anything will work, that means this too it's rational okay good kids if I It is written here that 9/0 is this rational or isn't it so soon all the kids All the kids will tell whether he is rational or not Is this rational or not? Is this rational? or it is not there no it is not there sir because its It is not in the definition itself, it is given in the definition It is said that q is not equal to 0, that is, the The denominator is the bottom part cannot be equal to Ro, if it is then it It is not rational, that is, look here below Just because you kept crying doesn't mean it's rational Ok, we will not call this rational further Let's move forward and ask you better this Tell me if I wrote here only seven So tell me quickly whether the intake is rational or not Is all child consumption rational or not? Is the consumption of children rational or not? The question is whether the intake is rational or not, isn't it? Children must be consuming alcohol in their mind it is not rational why it is not so because it We cannot write in the form of p/q where is the q below the denominator so is Otherwise you are wrong, this must be happening right? In your mind you are wrong, even consumption is rational because below the seven we write one We can denote it without changing its value. can 7 up what will happen 7 up is a rational we can write it in the form of look up p q a denominator which comes in the form of You are looking at the whole numbers too, right? can be converted into rational form are divided by one by saying that no one has He who does not have a God has no God There wasn't anything below, there was a forest below, I'll remember So it became sen, it became 8, it became 10 Well, all these are rational numbers. Tell me who is zero rational or not will tell the most First, who will tell whether zero is rational or not? First of all is zero rational or not Tell me quickly all the children are zero rational numbers If it is there or not then you must be thinking sir Is zero rational or not? Is zero even zero? why is it a rational number because look at it Below also we can put one or two The value will not change below this isn't it so we can plant a forest below and p up it can be written in the form of q, it means this Our rationale has also become correct, I am able to understand it That's my point, okay it's a good thing, a negative one Let's take the number, otherwise you will think negatively it would not happen means let us Take negative as an example I said sir-8 children-8 is rational that it does not happen -8 then negative and positive what difference does it make is the question i.e. that the definition says that whoever has p / q Our rational statement can be written in the form of If it happens then we can also convert -8 into p / q form i.e. -8 / 1 this can also be written Then it became rational, there is no doubt about it It is not so, this is also our rational, nice So these are examples of your rational numbers here we go let's see one more thing kids If I write a decimal number here Given 2 / 2.3 Children 2.3 It is rational that If not, who will tell the children first 2.3 2.3 Rational or not, kids 2.3 Rational is it there or not sir how can we p/q this If we write it in the form then it is even easier, It's easy because we saw that 23 / we can say 10 right remove the decimal So skip one place down and move the decimal point down you are decimaling without one place Meaning, we write here with a zero can represent i.e. what is 23/1 This is what we said sir it has become rational 23/1 What is converted into a rational number It is done, that means we can also take this in rational form. I can represent it means it is rational This also means every decimal place You should also know that numbers are rational You have to take care, okay, there is no confusion No doubt it's awesome it's great good question if something like this comes up that 2.44 4 and so on now tell me is it rational that Children, who will tell you whether this is rational or not? first of all 2.44 and so it's rational that If it is not there then who will tell you first think carefully There is no hurry to tell, there is no mistake there should be 2 p sir we will read this with our q how to write in the form because the end of four So the end of Four is not happening, it is not happening the four is increasing it is increasing If it is increasing then it means it is rational cannot happen because we can call it as p up q You cannot write it in the form, it means that In which category will the irrational category go I will go to answer answer now kids are saying sir some people Some people are saying yes sir, some people are saying no Sir means some kids are saying that Sir is rational Some kids are saying think how irrational We are asking you the basic thing and that is it There is such a big need for children in basic things There is a mistake in the number, now you have to do this If you understand the weightage of the chapter If you don't know these basic things then How do you think you can qualify CGL? 2 How do you think you can major in banking? If you qualify, you will play here There are many such candidates in Examiner Mains conceptual questions arise where He asks about the rational and the irral We don't know anything about him So it is important to learn this, that is why we are saying that what will be taught is absolutely core It will be taught in full depth You will not have even this much doubt in life Whatever topic of Mathematics we take up, You must be teaching in the same way, the entire entire youtube0 we also give our full commitment You may not have found the Antaeus class which is here We will provide you session wise classes series wise it is ok so see kids say Sir, this is rational, some kids are saying this yes sir it is illegal ok so the question is this Children's sir, that's why it's irrational Because it we We cannot express it in fraction form. can convert it to your q form can't convert into ok ok You are justified in having doubts, right? There is doubt ahead. we grow up and explain to the children what is this we can write it like this 2 p 0.44 and so on Children can we write it like this 2 p 0.44 and so of course you can write So we can write it like this: 0.4 Above the Bar Meaning, which number is repeated again and again? I said Sir it is four which I repeat again and again what is the number that is recurring It is being repeated, we will say Sir Four again and again repeating if four is repeated again and again it means we put bar on top of four Diya is now on Viral Maths Show at 6:00 AM It runs at 05:00, how many times has it been taught that is how many numbers are under the bar for the children How many numbers are there under the bar? One number is there under the bar we'll use the number nine once The number under the bar is equal to the number of nines if we use then a number equals 12 if it is below then a nine is used, meaning this How did we represent the number 4/9 in k f and what's here 2 p 4/9 that Means 2 holes 4 up 9 so represent tax is 2 then 4/9 means 9 da 18 18 4 22 22/9 if it comes then it means this number We represented 22/9 so be it Went If it is rational then it is done, what is the problem with this rational Yeah brother 2 p 0.44 that means 2.44 end So we converted on 22/9 I am done covering it in fractions where q is not equal to j should have been zero q is not equal to 0 This means yes children this means yes this also It is your rationality, remember it sometime after today Do not forget that proper notes should be made and Those things should fill up a whole thick copy we will give you the complete lecture which will be ok you did not study in 6th to 8th and 10th You must not have studied in 11th or 12th You would not have read the entire cover in your graduation You will be entertained on this Viral Maths channel don't leave anything, go into every detail I want to learn something, let's take another example Then let's take another example like this that is, if my question is this children 2 Fifth note of musical scale 5656 56 and so on is this rational or not Quickly tell all the children 2.56 5656 end So on tell me is this rational or not The child is saying sir why divide by nine Let's do it, we will give you a small video of it will give you okay you my video section You should also keep a little notice of your In that we discuss such important concepts why are we there to prove it but we will give it because this session is a little It will become longer, isn't it, it is beyond your means Once it is done, we will put small clips in it We will provide you with proofreading through If that is the case then why is it like this right now Is it rational or not to have all the children early Is this rational or not, you will say this also sir Here we will tell you the reason why it is so. If you give then the question was 2 p 56 56 56 and so on you will say sir this is ration that it is not there so the kids are saying it is there sir now A little bit of confidence has returned from the previous one How will we write this after seeing it, kids? 2 P The bar will be placed above 0.56 because 56 whatever it is it is repeating over and over again The number should be repeated again and again, you should repeat it again and again put down Now how many numbers are there under the bar? how many numbers under the sank will we say sir bar k the two numbers below if the two numbers below the bar So you'll have to use nine twice. like last time what was a number so a times nine this time two numbers so twice nine and Now we can write down what happens here. 2 56 / 99 If you want, multiply it no So don't worry, there is no problem in fractions We had to convert it into fraction If I convert it and show it then this is also there It is a rational number which is in fraction It can be converted, we will call it rational That means this number is also our rational number. So sir a big doubt is forming in my mind what sir all are numbers then what does it mean All the numbers have become rational, nothing is left So you have become rational, right? Apart from being rational, If there is nothing left then try to understand a little here 56 56 56 and so on 2.44 4 and so on this If all are going in the category of rational Even if it is 2.3, it still falls in the Rational category that means you need to hold on here a little bit You will have to take it and write it here that What else should be in the category of rational unless you know that it is possible What can be in the category of rational then till you don't know what is rational So what all can happen in the category Any number of fractions in the category of rational All the fractions, as many as the children, come They are rational, like you just saw behind 2/3 4/3 And the whole numbers are also rational come in the same category i.e. the number of holes numbers 2 3 4 5 6 because below all there is one yes, isn't it zero is also g0 up, what does it mean That too is rational, no doubt, it is a good thing hey nice see what's next here Have you seen any decimal representation? So decimals are also rational, but for kids There are two categories of decimals here types of decimals that would be rational Which two types will go in the category There is one terminating, take note of everything what is child terminating children Look, these are very technical terms that you have used You must have read in your childhood about terminating and Without PPT there is no book, no notes No, everything is according to your knowledge, whatever is in your mind It will come, we will let you know, whether it is a Whether the class lasts for an hour or two Let's go terminating those terminating decimals We put them in the rational category What does terminating mean it happens son terminating means whatever is stuck should be terminated It means it is okay to stop, even if it is stopped Note down all the children who are stopped For example, 2.3 is stuck 4.5 6.9 what is this they are stuck right These are stopped, this means they are terminating This means it comes under the category of rational It will come okay how are these decimals of rational will come in category ok the second one which is decimal He is a part of is non terminating Note this is very important in mains This concept will be seen many times terminating but repeating Meaning you are repeating what you just said Have you seen it, non terminating but repeating This is an example of what I mean to say, if we tell you So tell me what is in the example category kids what did you just see 2333 look non is not stopping Terminating is not stopping and also repeating he is doing it but it is 2.33 naa stop it is happening and but it is being repeated 333 And so on, you saw this, what else can you see yes 4.56 56 f si means it is not stopping and so It is on and it is not stopping and so on It is stuck, it is stuck, it keeps moving forward going on going on increasing for eternity but if he is repeating it along with it then non terminating but repeating if repeating Even if it doesn't stop there is no problem Which category of rational will that also fall into? It will be easy to go in the category if there is any confusion now the third decimal place that remains is it's very dangerous okay it's very dangerous See which will be the third decimal place It is decimal that is nt n r nt NR it's okay NT NR this is very dangerous This NT NR is my viral message The kids who are from the foundation will know which is NTNR, this is national for children This is the category of Irrational Now you will say Sir what is this Where is NT NR new word for irrational from so its coming to know NT NR A little to know kids NT NR we will go into detail here So this is where your irrationality begins If you want to know about irrational All you need to know about Anti NR it's ok What does Ishan NT NR mean children does any child know the definition of nt nr what is nt ener's definition is non Terminating Meaning that which does not stop, non terminating children non terminating non repeating meaning don't terminate means don't stop It is not there, it is there and so on, keep going it's been increasing it's been increasing Nice and no stopping or repeating he is doing it, don't even repeat it, it means just a little Something strange has happened, don't look at his example What will come children, in example 0 p will come 05 005 005 and so on now put it outside and show it first what was 0.44 444 so you put a bar on top of the four I put it on, do you know I am repeating it for you then what is 0.56 5656 so you saw 56 If you are repeating it then you have repeated it more than 56 times You have applied it, now apply it again and again and show me You can't even tell me which number I should ask which number is repeating you not 05 doing 005 not even doing 005 if no one is repeating it then it means you If you cannot even put a bar then there is such a category What will be formed is of irrational numbers That means NTNR non terminating non I understood the repeating ok navneet good nt nr kids are saying NT Navneet Tiwari ok ok ok so This has become NT NR this has become category one Take another example if you have the slightest doubt If you are doing it then start with G-Po or 2 Do it, there is no problem, it is not like this from zero It begins 0769 8235 and so don't go ahead like this and keep writing anything go don't repeat it, neither do you stop nor does he repeat ok so what is pie sir pie Can someone please tell me kid what a pie is? Is pie rational or irrational, which one is that? The child who will tell me first is Pie Joe is he rational or irrational quickly Tell me are all the children rational or irrational Pi is irrational Remember Pi is irrational Why Sir, do you tell me the value of pie? If it is 22/7 then it means it is rational 22/7 is the approximate value of real The real value of Pi is not 22/7 it doesn't happen, we just use it To make the calculation easy, know this also Look, this is also a big myth that kids think yes 22/7 that is not the exact value kids exact value if you go is very long 3128 and so on this also never repeats This too kept changing like this for eternity it will keep changing it will go on crossing 14 and 28 If you give it by mistake then 392 will come next y If you apply it then that is a different matter, it becomes our code it will go okay y 392 for now look here 3.14 28 and so on it will go on increasing to infinity Over time, many supercomputers were made which I don't know why different values of Pi were found Upto how many decimal places did she ever calculate? I did not repeat it so the pie was perfect An example is to always remember irrational numbers Keeping Pai a Perfect Example of Irrationality There is no better example of numbers than this It is possible because this is in your life daily You are looking at this, rest of the numbers are as Do you do this daily in your life? 3.14 And so on ok if you understood then This is the value of your pie, and more Sir, please tell me, there is more sir, please tell me what else could be an irrational The value of the root of the number is equal to the example for example take √2 which you cannot solve can speak √3 tell me two q root 10 you can't solve it Can you treat them like decimals? square root of 16 i said 16 You tell me the square root sir it is four So the whole number is done, it has become rational Then what you are unable to solve means you will have to break it down into decimals isn't it, which means it's not a perfect square It is not a perfect cube, if you don't To find the square root, find the cube root If asked to find out, then such numbers which would be They are also in your irrational category Such numbers will also be irrational for you. will go into the category of understood understood I have come yes all the root value is mine According to this you have done better than rational and irrational You might not have noticed the difference between You guys will remember me forever now If yes then complete your circle So that you can make proper notes, this if we were making all these want to keep it in a big circle Children, if we tell all these to some elder If you want to keep it in a circle then what kind of circle would that be? will be Children, what will that circle be like? Tell me, that circle Our That circle will be ours, what kind of child will he be It must be rational, everything is within rational The numbers come, you can see that Rational All the numbers come in rational int Jars are also included. Whole numbers are also included. Natural numbers are also included, whatever All of them are included, now move away from rational what comes out is rational is totally different meaning its rational There are decimals inside too kids Don't forget that there are decimals too But what kind of decimals are there which are of only two types? has decimals, that is, either terminating ho just now you read like 2.3 did you tell me whether it is stopped or non Terminating but repeating anti BR bol You can call them anti BR not It is terminating but repeating like 2.33 3 and so on this at this your decimal like this Decimals that come under the category of rational So don't think that there are as many decimals as They are all rational, not decimal There are two types which are in the category of rational Now let's come to the next part, what is that about is of Children, what is the next part about? hey sorry the next part is about what things Kids, it is about irrational numbers, right? Ignore those irrational numbers Are there any edges or not, you keep them here Leave them aside so we can give them color let's say give them red colour Wouldn't it be nice to see them These are different, these are a little different Irrational This is irrational as an example √2 said it √3 said it pi said it Children, you and 0.011 right 001 and so on so this is your I understood that you fell into the category of irrational All the kids are enjoying this now We have got all the numbers We have come close to getting some kind of numbers So if we include all these numbers If we combine everyone together like this Create an entire universe of numbers Tell me what will be the whole category which will be emerging as a whole category What will you say to this? Tell me what is this, children? This entire category which is coming in front of you is this what is this Tell me which whole category came before you now the kids will say sir this whole category It has come ready, this is the real number, will you say it? Because you guys look at all the numbers real numbers are called real numbers What do the numbers say? What do the real numbers say? combine all the numbers So what are the real numbers? who you're working with means In your examination in Mathematics, you got Your daily encounter with BHI numbers that is, those real numbers are real There are numbers, all the numbers written in this book They will all be real numbers All of them are in the category of real numbers all are included, you can understand it whether it is root or irrational Why shouldn't we be such numbers? People keep looking but the pie is always visible If √2 √3 was there then we would have seen it If so, he has become irrational, even if he is rational Be it irrational or integer whatever type of number it is, as soon as it comes in front of us if they live then that means as many types Numbers keep coming to our attention, kids Okay, as many types of numbers as we can see keep coming in What kind of numbers are those, kids? All of them are real numbers, that is, their For this you can use your term 'this is real' Numbers mean one thing you must have understood that What you have to do children is what you have done here All the numbers were mentioned here No, here in the beginning, the chart that you saw I had prepared this one first that Rational You have learnt this and you have learnt rationality also If you put all these numbers together have you combined it or what has happened to you, this is yours Rational has also come up with all these numbers If we combine these, in whose category would they fall? All these real numbers go away So what if we go into the category of All the numbers in the world are real are all the children of the world Are the numbers real or not? There will be numbers that will not be real Is it possible that there is something like this in the world Numbers are also the children in our universe How could they be if they weren't real Hey kids, now you can understand fully how they are You have read everything in the number system Do you understand these two types of numbers? One becomes real means actual means as many types of numbers you have seen so far All the numbers have become real now You don't see them, do you? Imaginary says okay what will you say Children, we will call them imaginary i.e. imaginary numbers Imaginary, these are our imaginary numbers That means there are two types of numbers In the complete number system there is one real and The second is inside the imaginary real You were looking at all the numbers till now Some became integers, some became natural, some became holes Numbers means as many types of numbers as possible How real are the things you encounter on a daily basis What are imaginary numbers that They are showing a very strange world I'll say anything, I'll do anything For example, inside the square root I wrote -25 so it is a negative number It is not possible inside the square root Is a square ever a negative number? If it was not inside the root, then we would have We call them imaginary numbers, which It may not be possible, those whom we just imagining it, thinking it happened okay so how come this imaginary number there are discussions about which we people SSC is not a part of our syllabus If it happens, then sometime we will teach you, then these We will also tell you about the numbers Sure it's ok you can say the number with minus inside the square root if your negative We would also tell them to come when their numbers arrive are represented by I, that is I means negative number squared If it comes inside the root then it is ok for myweb If we know the square root then we will know it I mean, we are talking about imaginary numbers here. give representation okay okay understand I came in okay okay okay this means a One thing is certain that we have one more circle We will have a category of real numbers So it means that a circle is formed again Children, we should make a circle right now I need to make it a little smaller now right kids a circle so now and our That circle should be made, know what will be made Is Meaning, let's make a small one here somewhere which Who is our representative Representing an imaginary number Why do you call this exile, kids? isn't it, let's just put it aside How does this represent an imaginary number? This is not a small world, this is their opinion Thinking about this is a huge thing, just your syllabus This is not a part, so we are keeping it away If the image is representing the children then This is your complete real number and that is your imaginary number is gone okay if we all Combine the numbers together and get the whole thing. the whole universe if now we mean the Real Combine this with the imaginary The entire board that you are seeing, all of these If you mix it, it will become yours Tell me the system, did you enjoy it or not? When he came, he did not even take his money back from the job Combine all the universes together the number of numbers in the number of numbers in the if you met everybody in the whole universe what happened when you gave it, it became yours The complexion has become crooked, but It is the same thing as mine, real number The poor guy is a bit bothered by this irrational because it is there on them but it is the same that for mother all five fingers are equal people say that the five fingers never There is a saying that all five are not equal Fingers are never equal but mother's For all five fingers, this value is equal So the situation is the same as that of real numbers All numbers are equal no matter who you talk to Whether it is irrational or rational or decimal Be it integer or any other, all are its parts all are his creations okay and what is on that side it is just imaginary He is outside the world, we can say he is the enemy ho, what is there is not there people of our earth yes it is there then it is something like this and in this whole If you combine the universe then who is Brahma? Is complexions do this too because We are always talking about depth If we discuss Depp then sir In which both the real and the imaginary met It should be given isn't it that sir it is visible from anywhere that Call it complicated, you can call it a natural number tell it in fractions let's tell it to you 5/1 We will make it amazing Why do we say complicated Love mathematics, my friend Look at it once and say no, it is his My eyes were so deep that I couldn't swim Still I thought it best to drown, so that's it The special thing about mathematics is that its eyes so beautiful so beautiful that you You would think drowning is the best option if you don't know how to swim even then we will drown okay so this The special thing about mathematics is that where are these five From How do we represent complexion? We make children's imaginations known through our eyes If we represent then just see what we do We're going to do it with this right now we are going to write and save 5 plus 0 times of come on write down my fav Meaning we have used the imaginary part for F While doing this I wrote 5 p0 times of i tell all the children 5 p 0 times of now imaginary number if multiplied by zero If it happens then it will be zero only, meaning 5 ps But yes, because of the arrival of Imaginary, we Because of its coming we have to A big thing has happened here A big thing came out in the research that there are so many types of numbers Numbers All numbers all numbers as many numbers here are the combination of this new thing i understood Isn't it so, I didn't know this till today Comination Off Real plus imaginary this is something special to learn got the meaning means the most in the world They are all numbers, we call them real and imaginary can be written in combination of means real And with the combination of imaginary, each one of us can represent numbers of any type That is why we have a collection of all the numbers is called a complex are in the understanding Did you understand I understood it, that's why we know all the numbers They are kept in a complicated manner, see which one is the most The universe is bigger, whose universe is it the most? the big universe is There is complexion and there is real and there is real All the children he has All the numbers are inside the universe all the numbers that there are Let's go into the complicated, I got it You will never forget it, I enjoyed the number system Have you ever read a better one than this? Did you ever have such depth of the number system Have you ever seen the numbers from this perspective? had you ever observed it this way that Numbers can be like this, you might not have seen it Nor will there be many such sessions continuously Just watch it and subscribe to this channel Believe me, believe me, the world's best I will create a great mathematics channel We made it the best channel in the world I will keep my commitment to mathematics I promise myself that God will be with you If people stay with us, this will definitely come true today If not, it's for sure tomorrow, sometime or the other it will happen let's move on now come on All information about the numbers is available No, now let's move ahead a little bit There are important terms which children learn somewhere it seems like you are getting confused somewhere For example, children are even numbers Why not mention a little about them as well Poor these tiny little ones We are travelers, our country's soldiers are number one These are also soldiers of the system so what about them I need to know, otherwise I will get angry that no one mentioned me anymore I disturb the children during the exam I will show you okay so kids what is even What are even numbers, kids? These are the numbers that are divided by two It is possible, as an example, zero we said two we said four we said six we said 8 we said I said 10 I said and so on so what Any number which is divisible by two is Children go into the even numbers category You should also know about these okay now we'll talk about kids odd What are the odd numbers of numbers which We can divide numbers by two into odd say like one say i say f say two ok yes say seven okay kids say nine And so on, these are odd numbers I think every child should It is known that there is no confusion in this There is no doubt, it's okay if there is confusion sometimes In Hindi it is called even, it is called odd It is said that if you ever have any doubt then do this remember it like i did in childhood I am very stunned, I am telling you the truth I am very bad in maths This was my condition in Mathematics, so I know what did we do we tried something that relate to something such as If those things get imprinted in my mind then I am very weak I have been in Mathematics and today we will tell you If you are standing in front then just look behind it The reason is that I took a degree from Mathematics I fell in love with someone else and I didn't find anyone better I did not feel that I fell in love with mathematics And mathematics has led us here gave ok yes this is true, I don't think that I'm joking, this is true from my childhood This is the story actually because there is no one As for me, I gave speeches at many places You might have heard it somewhere I was interviewed and called anywhere. I didn't ask anybody anything, I really This is what I told you that there were no friends I didn't have anyone, neither a boy nor When we enter the girl class room then everyone Kids can choose a chair for their best friend They have been stopped, I am asking after entering hmm is anyone sitting here yes my friend is sitting here is there anyone sitting here yes my friend is sitting we used to go and sit on the last corner seat where there was no one or someone If the child is absent then I will take his chair there would have been no one really and very good thing no one was there very good The thing is no one was there, only those people used to be there Those who used to taunt me, they used to tell me They used to do it then, it continues even today and I am very blessed, I am happy thinking of those people those who taunt me about Or those who make fun of me, who are my They speak bad words about me I am blessed to have people like this Because when he says no then I get a chance get to prove myself once again an opportunity to prove himself once again to go ahead many times over again and if those people were not there then maybe we wouldn't be here today It's okay, people will make fun of you for some time You must be blowing your base They might be saying anything about you and Then after a while he sat quietly They will go because they will have understood that Humans have gone too far with this there is no use in saying this ok so Bad things are being said about children Children who have to face humiliation all the time the kids about whom people are talking all the time You can't do anything friend, you are useless you're done, you're useless It's useless, get him married, you're saying so, right? People you are blessed you are lucky that you have people who use your fuel They are doing it but are not speaking and God is calling them it's their fault it's not their fault There is no fault, God is calling them because he wants to boost you okay he wants to utilize you 100% And he wants to touch your 100% potential He wants to touch your extreme, that's why And he is making them call and to you and in your ears If your voice is reaching then you are at 100 Now I will prove it to you by proving showing ok hey let's go So here we mention about odd numbers It's over, where have you come from and where have you reached, old These are memories, I remember them, okay, look at that Here it became even or odd or something else Numbers are also there as examples Children are confused as to what to take Many children are prime numbers is it about prime We also mention Prime Tell me which numbers are prime There are numbers which have two factors i.e that one be the forest and the other be the factors themselves Meaning, one who can divide it, for example In fact if I said four then it would be four Are there two people who are dividing? Answer Kids Por How many children will divide the number by four? There are people, we said to divide Sir Four There's one, look one can divide into four The two that divides the four is also the two Divisor is also 4, so its So look, there are three people, give us two. I need neither less nor more than two In your childhood you must have seen a cartoon of Osworld You must have seen there are two marshmallows right? No, no less. I remember you more the same way whenever I teach about prime numbers So you should have only two factors For example, if I said to look Too has only two people with him Dividing either two or one or That means either one can divide it That is, what does forest mean? Forest means Unity Meaning God always says that everyone's master is one right then who can divide two that means one and two it You have to become self prime only and only If you want to become prime, okay, that means you will be destroyed Who can do this, either God or you Others themselves do not have the capability to give you just touch it and go away ok prime number These are my favorite numbers, anyone can touch them and go I cannot, which means either God will destroy me either i will do it or i will kill myself And he doesn't have the guts to even touch me, okay? If you want to become a prime number then the smallest Which is the prime number? The child is the most The smaller prime number is your two because There is no one below two, there is no one don't remember prime one one never prime One cannot have only one factor if that is one then there should be minimum two and Maximum in both cases we have two Remember the second prime number three the third prime number five note these down This is asked very often in examinations You must know long numbers, right? quite a lot 11 children 13 17 19 ok 23 and 29 if I miss something tell me 31 and 37 and 41 43 like this it is ok 47 And so on, check once to see if anything was missed do it 2 3 5 7 11 13 17 19 23 29 is correct, isn't it prime? There are categories of numbers, you should remember them I have to keep it because many times during exams Questions can also be seen on these ok he hasn't had dinner yet don't worry, you will study later first The focus is on the second category, that is, the That composite is not prime if yes then children which numbers are composite are one which is neither prime nor composite remember about one neither that prime Now in the examination, in the main examination Asked conceptual questions many times whether one is prime or coprime sorry one is prime or composite ok prime is called in hindi as odd a prime hee say no no hee say prime okay prime number in hindi and this is the opposite of prime, right? Remember one is neither prime nor it is composite, if you remember then here The composite number that begins with Where does four come from and what does four become? it's six it's eight it's okay it's nine done 10 done and so on joe prime No, it is composite. Yes, more than two. it must have factors now what is one One has less than two, if it is only one That is why neither one nor prime number can be qualified Nor does he qualify for the composite all the children will remember the forest Many children remain in doubt regarding this then note down one is neither prime nor One is neither composite nor asked in mains The question is, remember, you will say it in the mains sir This does not come so easy in mains will ask whether it is prime or composite mains gave a hint to a big question The value of x must have been the lowest composite This is the number, now what will you think? You will think one Which is the lowest composite number? Four it happens that is why we are saying again and again that when till then the depth of the chapter is not known You cannot qualify any exam You will get it whether you are from SSC or Railway You are asked whether you are a banking whiz In the examination, look for that core always fine then where does the composite number come from children start with four are 4 6 8 nice smallest prime number which one would have been it is 11 11 did I write it down so is it 11 I have written prime 11 okay it's not even zero right zero prime it will come in zero composite okay Neither of them will come, neither zero nor prime Neither zero nor one is okay, both won't come, okay Can you tell me which is the smallest prime number? is the smallest prime number then you you will say sir two happens good good even Tell me prime, even prime means one such Tell me the prime number which is even number Children, did I make any mistake? what are the children saying repeatedly two three times This is correct, what happened is 4th 4 this is also correct yes 4 6 8 no 10 where are you facing problem tell me my question is that to everyone yes my question is is an even prime number means a prime number such that Always remember the number which is an even number This is the only number which is even and It's prime too kids even prime only this Many times the number is like this in exams The question will be asked whether the value of wa is even prime now you will think whether it is two only or There could be more, there could be 100 as well You will not start wondering this is the whole There is a number in the universe that is even and there is prime too okay okay someone There won't be any confusion, you will never forget Nice, now look, the opposite has also happened now We teach the children in prime okay so now what do we need to know about what is coprime look at it and note it Next up are the kids What is Coprime? What does Coprime mean? Becoming Prime through Cooperation It is not going to happen, we should have become prime through cooperation I did not become prime, that means if I I took it here and I took it here Five so right now both of them are here is prime then both of these together are prime They are being made because they were already prime it's a good thing it's well and good but I If I take it here, then I take it here Five Now tell me a number which can multiply four and five by children can cut both of them together like this Number Think of something that can cut through both of them together There is no number that can cut through one There is no other number apart from one, right? If not, then look at both of them together, Prime Think of a number that becomes four and five That means unity is the strength and not two Isn't it said that two are better than one? Even if there are four meanings, if we meet each other then No one can break us, this is his example look that's why I say mathematics is a language of nature The language of the universe is us, who are common We speak in language that if you mix it then we The strength of unity will not break Mathematics Representing Coprime They say for your kind information to him It is called coprime, look, match them together Think of a number that no one can break don't break both four and five Any one is fine and take it with you tell me sir Seven and Nine Any number that is seven and nine Both the nines cannot be cut together isn't it, nobody is going to cut it, okay okay nice look here what is it and take yes take some more like this you tell me sir 11 and 17 take these as well It is prime right, it is also coprime sorry okay take it here take it here and here but take it here take it here 16 now watch Both are interesting, what is nine prime Answer me, is nine a prime number? Isn't 16 a prime number? But if you got both of these These two became coprime after mixing To become prime it is not necessary that Both must be prime, or one of them must be prime I don't think it needs to be prime He said that both of them should come together and no one should cut them off If possible then 9 and 16 is the perfect example to and three will be coprime because two is also prime three is also prime add two so it got coprime but the best Look at the example, this is the best example So this is that there is no prime after that also became coprime, right? Nine is prime, right? 16 is prime but still it is coprime Enjoying it This is interesting friend, these are all facts Learn to play with them friend and tell me how else tell me ok let's see the next one Next is Twin Prime, this is very important This is asked a lot in exams It is with the words, child, you are troubled, sir What is a twin prime? Twin prime Twin primes are two prime numbers whose give a gap between okay two such numbers between which the gap is ho ho, the child is saying sir go to sleep It is my habit that we will go at 6:00 in the morning you will also get up, if you feel sleepy then you can go You can son, okay, twin prime means two Prime numbers with a gap of two Like as an example I said Sir Thr And so this pair is called ton prime will give the name of ok as an example f The gap between the ends is two children, which is fine the gap between them is a gap of two ho right and 17 19 what is this this is prime Coprime ton prime means two such primes numbers with a gap of two if you If you are confused then note this down somewhere Let's do it together na the prime the two prime the pair of prime Note down the numbers like this: The pair of primes Numbers Meaning Having Pairs of Prime Numbers Difference to having difference having difference two okay like this two Prime numbers with a gap of two look carefully there is 11 and 13 also 11 13 comes in prime the child is asking sir 29 And 31 of course this also comes in your prime okay this is coprime mub twin prime These are twin primes, meaning both of them The gap between them should be two, between all look at the gap two is the pair of prime number Having a difference to fix any confusion no there is no doubt nice very good ok yes there are 41 and 43 also you will ask like this will you keep doing it ok then please keep some understanding okay this is also your ton prime let's have a The last one is very important, read it later we will finish the session today okay till here Our perfect numbers are the last Very few people know this, but I have told you in my foundation batch What would you say are perfect numbers? Sir all numbers are perfect A lot of kids think that they are perfect It should be square like 4 16 right you say sir 64 These are perfect squares, perfect numbers This is not how perfect numbers are defined It is a little different, tell me the perfect numbers Who will tell which are the best? Who will tell first that Sir is perfect First of all tell me what are the numbers Tell me what are the perfect numbers I am telling you that it comes in many exams Do not take anything I say as a joke don't take it lightly don't think about it nani sir just tell me You can sit for any exam If you did not appear in prelims in any exam So if you come in mains in CGL then If you do not appear in CGL pre, then appear in advance It will come, meaning you will definitely get as much as you want the things you've learned so far are mathematics if If you don't learn these things you will not qualify anywhere in mathematics you will definitely not stop anywhere, it is okay I want proper notes to tell me things I am the one who started the whole copy so thick Keep it so that it gets filled completely and becomes a complete book May you fall more in love with Mathematics By the end of mathematics it becomes so deep You will be taught everything with research right look carefully at all the children who have perfect square ho na na na na na dekho what are perfect numbers Kids, perfect numbers are like Take 10 10 perfect as an example Is it not so, we will first think about it Let's discuss, tell me the factors of 10. what are the divisible numbers I said 10 is divisible by one we need to write factors okay factors Write quickly the numbers which are divisible by 10 which numbers did I tell sir one and He will divide it by two as well and I told the kids Sir will divide it by five also and will divide it into two parts I said sir if you divide it even by 10 then The number is itself, it will surely divide ok leave that aside then pick these numbers do the number leave the same number which means How many numbers are visible except number 10? These are the numbers that are visible now for those who are left Add up all the numbers that came out and what would be the result If it is 5 two times one then it comes to evening out everything But did this come, our original number? yes this will be divisible by eight answer two children Is this our number that has come out at has it come, can it divide by 10 answer yes or no answer yes or no what am I whatever has come out which is even Will he be able to divide it? Answer: Yes And if he is not able to say no sir then this Not a perfect number If it is not called a perfect number then it will be called I understood the definition, I understood the definition that whatever are its factors that number it Leave your own number, which is your own No, the column of remaining factors is Add them all up and check that the sum he is coming he can divide it by that No, it means it divides that original number can't do it if can divide We will call that number a perfect number. I will not say wise, you will remember but you will not forget As an example, let us talk about children six let's do it ok As an example, we talked about six that now quickly all the children should turn six Tell me the factors of six children Tell all the kids I am from K S Six In factors, one comes, right, and then two comes This is very good and who else comes on six Meaning who can divide Sir three can also divide it very good and sir Even six can divide, so can six I will leave it, I will not consider the six okay nice leaving that number now we we're gonna sum up all the numbers okay Meaning this is the case for all numbers except six. Sum it up, how much will it cost 3 2 5 one 6 hey everyone Sum it up how much came six came now what is here Did the result come with this original number? Will you be able to divide this problem? Answer: Will this problem be solved? did this come by dividing the original number Will you be able to answer yes or no children? I am able to divide this into six and say yes sir if I can do it that means six is the perfect number kya bolega six kya If kids have a perfect number then the first one is the smallest The number that comes first is six Which is the smallest perfect number? Six Would what is the smallest perfect number It is a six, we will remember it, let's give an example We won't give you homework, come on, you tell us. What will be the second perfect number second perfect number second who after six There will be a number which will be called a perfect number This is a question asked in mains, now think about it no one taught me about it No, till today no one has told me anything and I have told you this long ago, I have told you many times If the child follows me regularly You must be doing this, I have told you many times Small things are asked about us so we It is said that deep understanding is required of the subject and hence the complete mathematics A channel has been created where we People, you and I will do research together, right? Meaning if you don't study then research will be proper Every topic will be researched Who can be the next perfect number now? Kids must have made perfect number immediately Knock knock knock it came out I couldn't find it I can give these people in writing If they haven't found the next perfect one then Children, if you are not sure, the number is 28 You can check it out and let's know about 28 Let me try and tell you the factors of 28 said sir one one which is the perfect number a sorry The factor of one is 28. It divides yes sir then two will come and who else divides Sir Four also divides Sir, Sen also divides. Sir, 14 also divides. if sir does 28 then the number Leave it to yourself, it's not about the same number will we do it, we will leave him and talk We are good okay now what we're gonna do is leave it alone, it means that you number it yourself we left it, remove 28 and leave it Sum the resulting numbers, what is the result, 1 + 2 3 3 + 4 7 7 + 7 14 14 + 14 28 which is even Has this same original number come out? can divide then answer yes or no Yes, I am dividing it into 28 If you divide 28 by 28 then you will get divisible by 28 kids why is 28 divided by 1 28 this means that our next perfect which number is that 28 So many will keep increasing like this Numbers will come but yes minimum these two You should remember the numbers, okay these two You should know the value of numbers Perfect number asked many times in examination and how is it asked when you are When you solve linear equations in Mains Big questions are asked When asked sufficiency questions then there are such questions will be given the value of x + y is The Lowest Perfect Number Take Child Surrender He had to ask a simple question x + y = 6 where the value of x can be given by we have been asked to remove y but we I don't know if x + y has to be 6 Because we don't know that the lowest The perfect number is six, it becomes two Number question where you can ask the mains question Halwa question which you can solve by looking at it you could not do it because You don't know about the perfect number So this deep understanding comes when you You get into research mode in Quant I keep saying that quant is not reasoning This is not Quant Reasoning where you have to answer your questions. I have a few things four, five, ten times I practiced quant 50 times and it's done Research demands, quant demands depth okay as long as you don't have those things until then there will be you can't dream big okay and I I always say that once you are good at quant, The depth knowledge of Mathematics has been brought to you If you reach there then you will not get any success in life I can't stop you from qualifying the exam If it doesn't happen, it would be a very small thing for you Nobody will fail you in life could if your context means mathematics if If you fell in love then here it is, kids Our session today is fine in which we going into very, very deep depth Going to the root level, absolutely basic level Let us go and read this chapter number of Kant The system has been discussed. Number system We are not finished with the number system yet numbers have many parts The game is over here, after that We will talk about the factors we'll talk about reminders okay people a lot of things right now we guys LCM We will talk about HC, okay? We will talk a lot about the unit digit there are things where we can learn I will try, could you learn it, see one Let me give you an example of where we are right now. will reach as an example to children If I wrote it in front of you See where we will take you Look, understand its value, if I write gave 2.3 plus I wrote 4.6 so you You can add it easily sir there is nothing in it Isn't it very easy? Look, 2 P 4 makes 6. And here I should not write 6.9 for this The result will come, no problem But if I ask the same question like this 2 333 and so no and here I wrote 4 Fifth note of musical scale 67 67 6 from and so now please do it and tell me Now you can't make me bother you anymore It won't be so easy to tap it further look 4 67 67 and so increase it like this plus I said 2 p 56 7 6767 and so on now Look what is special, this five is stopped it is repeating here 67 is repeating it's just right 67 67 but here's the five It has stopped now how do you add them You will ring a warning bell and take the examination I am asked these questions how will you do it Tell me don't worry about the number system of numbers The whole universe is here in one session If I can't finish it by 6:00 in the morning Even if I teach you till 12 o'clock, still there will be number system If it cannot be finished then we are wishing do it part wise in full depth Complete research will be done in the very basics above the number system that even this much do not share The remaining approximation is not exact It will work with the value okay let's go then So we close the session here. A large number of children remain in the new channel But there are around 1100, 1200, 1300 children and now Till now 1K plus watching is going on i.e. Children are liking mathematics Kids are liking the depth Want to know someone who can teach you I can assume that doesn't happen because such a large number at what time in the night It's 11:30 and still it's past If the kids stay connected, thank you so much kids For giving so much love to this viral mess We have to make the channel very big, not big We have to cross this figure of 1 million Mission one, target of 1 million keep it in your mind as far as you can Yes, take this channel to every nook and corner of the country To make the biggest mathematics channel The responsibility is much greater than what I have it is yours that your generations should remember that Friend, I am recommending you to my children it may be that I stay or not, it may not be possible We are not there but if you have to tell your kids If I have to teach you would say, son look at one There was a channel in my time, that channel was from there Read it which explains everything about Mathematics it was explained very well it is ok It's a dream, it's a vision, and I hope that you People, you will definitely fulfill that dream. If you will definitely make it a reality then thank you so much Friends, thank you so much, see you tomorrow morning at 6:00 on his Viral Mess show which It will be on the main channel A247 only, you keep reading keep smiling keep watching keep learning a 247 The official of paid b thank you so much thank you so much thank you you so much jai hind children