so let's start yes so first of all any doubts in the last three lectures last three classes last three classes means sir I better which which one second class I missed you sir i can understood about the tables everything mhm so I I I already told you whenever you find time you can just ask me even in daytime if I have we are free we can connect and do it okay okay not to worry at all okay but I don't want any backlogs if you'll finish the things along with then you'll be always in a better position okay now who's left so today we'll be starting with a very new topic the word which we have never heard vinculum number very first thing is what is vinculum number why it is used yes anyone knows Aruna Harish and Pushba anything you know about Vinculum numbers sorry come again bars we put the bars for uh negative number why do we put bars that is what I see that bar is repetitive that is different here it is different it is an uh not negative number now what do you mean by vinulum very first thing need to understand what is what was the need of this so pushba is joining now i thought she's there so how then nine Okay see very first thing you need to understand is vinculum is an imaginary numbers it is just for your support what do you mean by support it is to ease the calculations now you'll say how do they ease the calculation for example if I give you these numbers 1 2 3 4 5 6 7 8 9 you just reference purpose if I ask you to multiply choose your number and multiply with 9 or something bigger number let's say 89 so which is easy this is easy this is easy this is easy these will be tougher because in Vic mathematics we try to ease everything so vinculum number was introduced to ease our calculations i don't want I just want to work with these five numbers only these five I don't want to work with these numbers I don't want so in vinculum numbers we'll always work with this five 1 2 5 and try to convert these to this now first thing is convert this so that is all about in minulum numbers one thing we'll learn normal numbers to vinum numbers means first we'll be understanding how to convert these normal numbers to vinum now once you have done that now your problem is in our education system we don't work on vin colulum so then we'll also learn how to convert vulum numbers to normal back so these two things you'll be learning first you'll be converting normal to vulum and then vulum to normal but again what is venulum i'll give you okay if I ask you to write 21 how will you write 21 aruna you'll get all these notes focus on understanding first so when you so I I heard somebody yesterday saying I think it was in some movie or somewhere when you are jotting the notes you're missing the important things because when we are discussing that is more important jotting down we you'll be getting this recorded okay how do you write 21 harish if I say plus 21 so how will you write this way if I Okay - 21 so you write this way what does this mean this means this complete number is positive and this complete number is negative or can you say here two is negative and one is positive no can you say this no anyone so how do you define if you have to express in the exponential means if you have to express it what do you do 21 can be written as 20 + 1 which is 21 of course or if it is - 21 then also you write -20 -1 and minus 21 now here is the difference between normal and vinculum in vinculum number and this you will observe in entire vic maths in vic math we don't consider a number as a whole every individual digit is having its own value if there are two digits in a number both have their own value which is not considered In maths I'll site you so many examples but right now here 21 can be written in see how many formats two one bar two bar one two bar okay if I'll take bigger number because I have to show you something let's take first number as any digit for so that I can give you more examples now positive 123 is a normal number it can be written as 100 + 20 + 3 no doubt on this - 123 can be written as -00 - 20 - 3 no doubt but in Vic maths in vinculum numbers I can write this as 1 2 3 bar 1 2 bar 3 1 2 bar 3 bar one bar 2 three bar one bar two three bar one bar two bar So many combinations can be up but what is what are all these this we need to first understand but it was just an overview key how things will work so v before vulam number there is a word called rea rea ank please breaka and ank that means raika over ank this is called a raik what does this mean this means this is a negative number so the value of se and we call it as bar so this you'll pronounce as 7 bar one bar 3 bar and it is having a value this is - 7 this is minus3 this is minus1 correct this is rahank is a negative number is a combination of positive digits and negative digits so 2 one bar this is vin colulum one bar two this is vin colum so one digit is positive one is negative right 1 bar 2 1 this is vinc column 1 2 1 this is vincum it can be two positive two negative that is hardly matters but combination of positive and negative digit is called as vinculum number and it is 100% imaginary concept but it will ease your calculations and so many calculations you cannot think with normal numbers that can be done here which you cannot think that can be done every time we'll be using vulum numbers up till here it is clear v wind vulum number is a combination of positive as well as negative digits any questions how we can do sir about with this we'll do now up till here any question or not first thing this clear is it's clear sir so that don't don't ask what the future word I'll before the end of the class you'll be clear but this is very important topic because most of the teachers avoid this topic and you'll understand why so toasa steps but otherwise it's very interesting so now let's understand the values i wrote 123 as 100 + 20 + 3 this was a normal you got it now I'll start with Vulum numbers 1 2 3 bar this means 100 is positive 20 is positive but three is negative so what is the value 120 sir 11 one sir oh sorry enough we can understand so that means a vinculum number this is your normal number just observe what has happened seven is converted to three manap what I said initially I don't want six I don't want seven I don't want eight I don't want nine I'll be converting to lower digits 1 2 3 4 5 so see this has happened second example 1 2 bar 3 so what is this 100 - 20 + 3 so what is the value 83 see that means 8 is converted to two smaller the digits easy is the calculation understand this point in your mind bigger the digit bigger uh difficult is the calculation so it all is a game of digits okay one more till not finished one two bar three bar so this means 100 - 20 - 3 so what is that 77 right as per you it is the same three digits but see how one bar is bringing the difference okay if 1 2 What does this means this means - 100 + 20 + 3 so this is -77 one more one bar two bar three so this means -00 - 20 + 3 so - 117 got the difference see how one bar is changing everything or changing the values to so much extent the same 1 2 3 is 77 also 83 also and 117 also this would be the changes up till here any questions 1 2 3 where you have written 100 + 20 + 3= 123 and then - 1 2 3= - 20 - 3 why are we putting the bars number 1 2 3 8 8 mip one or two say see first thing first thing I told you is so that was normal numbers what is the value I I showed you what is the value of 123 it can be written in the expansion form like this but here actual value is coming you see the problem is this concept is not of maths you have never heard that one digit can have two different values for you 123 is either totally positive or 123 is totally negative but for me it can be six types of numbers got it same three digits can be six types so that is the difference okay up till here still any question please ask no issues but don't say why do why should we do because this is the topic which most of the teachers they leave it I don't want to leave because I know the fact certain places you'll not be able to calculate even a test for everyone 55 - 35 + 43 - 2 how will you do see this is called as simultaneous to question addition and subtraction can you do this simultaneous addition and subtraction yes gur pri how will you attempt woman kalani is giving direct answer because she's expert in a backer may do by that method but yeah this topic is related to same as uh in my um sir what you are telling seven means three 6 means four five means like the same I know but you are telling the different method that I need to understand say no no I'm not saying that is equal to that I'm no no no I'm not telling say equal but different type but the numbers are same you will Understand can you do this simultaneous addition and subtraction my simple question yes aruna harish anyone volume the See now all of you what do you do you generally segregate 85 + 43 + 33 separate or minus 35 or 27 segregate this is the only way in mathematics maths cannot do simultaneously that is not possible in maths is it so so difficult no why we have to segregate if it is a 10 row of 10 numbers so that means five you will be adding then five you'll be adding then you'll be subtracting means three operations because maths does not support simultaneous addition and subtraction that is the first thing we will see simultaneously scaring and cubing simultaneously scaring and subtracting we will do all those things and here with the help of inulum we'll be doing in seconds this is the first example I'm giving there are certain scales which you will not be able to calculate without this just for a reference I'm giving but we'll not do today so let's start directly with the topic so first topic is converting conversion of normal numbers to Vinculum numbers now I'll start with very small number let's say 37 now since this number has seven if I would have said 13 so no need of converting this because this is already a smaller one there is no digit above five so this was not required here this is above five so we can convert this number to vin colum now how to do that i'll give you certain rules and then we'll understand rule one in short I can say R1 observation you have to observe if digit right most position greater than five now you understood why I'm talking about greater than five because then only I'm converting otherwise there was no need if digit at rightmost position is greater than five subtract 10 from 8 now tell me one thing greater than five that means only six options are there ei uh sorry four options either it should be six 7 8 or 9 any other option is possible so if you subtract 6 - 10 7 - 10 8 - 10 9 - 10 so what will be the answer it would be -4 - 7 -3 -2 -1 anything else okay so that means answer would be negative this is what this point is clear subtract 10 from it use bar i think now you are clear why I said use bar because the answer if it is the condition is if it is greater than five subtract from 10 sorry I should not write from uh uh sorry I wrote clear uh right but speaking wrong subtract 10 from it so use bar but it may not be greater than five it can be five also it can be one also it can be zero also it can be two also it can be three also four also else else means if it is 0 1 2 3 4 5 else let it remain same correct okay we will solve then you'll understand more then after this we move to the next position means 10 position i'll not say 10 units because the number could be anything rule are rule 2 a why I'm saying a because first I'll be discussing about one type of numbers r2 a If the digit left to it means uh simple If immediate left digit is less than five please understand the words less than greater than if the immediate left digit is less than five add 1 to it and go back to rule one if you have written it's okay if you're not written first write down so that I can explain till here it is here now see the example but write down this and it should be in front of you so that for five uh five six problems it should be in front of you later you'll remember now see the example 37 i start with the rightmost digit seven is it greater than five yes so I'll subtract minus 10 what is the answer three bar correct anyone has a doubt yes harish harish any doubt no sir i understood sir yes uh Kalyani no sir perfect move left to it the left most digit is three is three less than five or greater uh more than five more than five or less than less than less than five sir so add one add one it becomes 43 here I applied rule R1 here I applied R2 A finish i got the answer but is it correct i have to check so I'll give you two methods to check first is exponential form expand so 4 3 bar what is that 40 minus 3 three what is that that mean that means we are correct but no I'll not agree let me take another test what is digit sum of 37 1 3 + 7 = 10 means one one one now see what is digit sum of four three bar that is 4 - 3 is equal to one one with two ways you checked that your answer is correct so the number 37 is converted to 43 bar you'll not say 43 you'll say 4 three bar four yes pushba you want to say something sir somebody was uh I think somebody was speaking so anyone has any question please done Aruna that bar what you were talking about was something different that was repetitive this is something different i understand okay let's say the question is 46 so six means four bar four means five finish you see I have given you the answer still see can you recognize this can you make it right [Music] krit as you saw i just saw 36 44 38 42 42 42 Sorry 42 4 two how How can it How can 38 be equal to 42 not possible no it is equal to 42 bar correct yes sir okay so first point is clear second 271 now I check with the first digit is it greater than five no so what was the statement please read rule number one again please read if is not possible else let it remain same so next one will be one now we'll try with this number still we have because see R1 is not finished i cannot go to R2 until and unless I have applied R1 now this is bigger so I will apply and I'll get three bar any route yes or no yes sir correct again now immediate left see remember I didn't mention 10 position this was the reason immediate left where immediate left immediate left to R1 applied yes this is less so I'll add one so what I did no here no rule applied then I applied R1 then I applied R2 A and let's check it out again 3 3 1 expand 300 - 30 + 1 so that is 271 correct If not let's check with the uh digit sum so digit sum of this is one digit sum this three and three bar have cancelled so one clear any doubt is any doubt till Now yes anyone has doubt please ask me okay sir yes this rule is only applicable when the number end with more than five sorry why n and end with more more than five when the number is more than five and n what do you mean by and 271 does not end with more than five now suppose now I give you a question 281112 convert into vinculum so these cannot be done because they all are less so this will be 1 one one two here I'll be applying 32 32 bar 32 sorry 32 bar so up till you are not having digit more you cannot apply now I clear okay sir okay now is it possible that every time this digit is smaller also and this can also be bigger so now we'll learn that so first I apply I have R1 if this is R2 A this is R2B what do you mean by R2 A and B you'll understand now means if digits are 0 1 2 3 4 not five or five uh four less than because you have to remember you cannot make numbers bigger if numbers are five 6 7 8 9 this I'm I'm just writing for your reference for first time just now we took three examples all were R1 and then the numbers were smaller all smaller than five so what was done applied once and go to R1 so I can make this diagram as this but what will happen if number is bigger now the benefit here is this can be repeated also and this will not go to R1 rather it will go to this you make the diagram I'll we'll take example you'll understand but R2 A is applied only once it can be repeated R2B I have to still give you R2B rule so don't worry Drum coming back okay do you have space there where you wrote two will take R to B please understand R1 kebab you have two options it could be why I'm saying two options because maybe the next number is less than four five and maybe the next number is more than five you cannot predict no so both the options can be that's why the name R2 is given but A and B is given so that different digits are there right so if immediate left is five or more subtract 9 from 8 repeat or go to rule R2 Hey when you'll be doing questions today at that time write rule 1 2 2 2 A 2 A 2 B on one paper with diagram keep it beside you and then solve so one day you will require to just understand the rules otherwise what will happen you may make mistake if you have in your side then no problem at all otherwise we'll do sufficient uh I think most of the problems we'll do today only now let's say the number was 278 earlier it was 271 I took and Now understand so this f first we go to the rightmost digit is it greater than five yes so subtract 10 two bar now this is immediate left now so what we are saying if im so that means I cannot have rule 2 a now it is a option of 2b only if immediate left is five or more subtract 9 from it so what is 7 minus 9 two two bar two or two bar two bar sir getting two only that's why I'm writing minus two bar correct up till here done again move to the next number now this this number is three smaller so that means if this number was eight or seven or six then we would have subtracted again from 9 but this is two so I add one means sorry I have to write here add one so this becomes three now the rules applied are R1 R2 B and R2 A up till here any question whatever query is coming because this is the most important topic see if if you not if you leave this half of the calculations in Vic math will not be done so then we'll find the excuses oh this was tough this Don't worry if this is clear you will be attempting 100% of arithmetics otherwise 50 to 60% done up till now let's uh check because proof is very important so two first I'm checking with digit sum 2 7 8 that means 8 correct and 3 2 bar 2 bar so this is minus one remember in digit sum if you get negative then what do you do nine add nine so again this is eight this is 8 correct second proof 300 - 22 so that is also 278 finish expansion also is available digit is also available check take one minute think any question in this any doubt in this question okay one more I'll show you 2 9 8 7 I I I'll take same numbers so I do three bar one bar one bar 0 0 three three Yes everybody was able to do this perfect if this is done you have learned everything now one more 2 1 9 8 7 see make small small changes in the question itself bar three bar one bar zero eight bar two how eight bar is it is it greater and second thing uh who who who said eight bar first tell me what was the purpose of inulum number the purpose was to bring bigger numbers to smaller yeah already smaller right got my point see you have to think that also and this left is smaller so not R1 R2 R2 r2 A R2 A correct this is R1 this is R2 B this is R2B this is R2 A what what does R2 A says just read again let it remain same if plus one immediate left is less than five add 1 to 8 go to R1 and I wrote in the uh diagram also attempt once so we have applied smaller so two finish tuna any doubt doubt is there ask one is again two what is written in uh R2 A go back to R1 diagram they R2 A Let it remain same if it is not bigger let it remain same yes sir yes sir 278 2987 21 987 87 now tell me try everyone try 281987 yes gith sir can I tell sir can I yes yes why not yeah uh sir exercise when we'll take the exercise everybody has to answer i will write everybody's answers okay sir three bar m one bar m zero m two m one bar m three i try i don't know i tried it i'll tell you yes tuna answer same same so this is kalyani tuna yes others same copy you have to give me the explanation then so it's three two bar 2 0 1 bar three bars uh slowly slowly slowly first here three bar three bar one bar okay then Aruna if you're not able to speak right down you you can write so put commas in between and with bar put b but you have to answer three bar one bar 0 2 8 3 Harish so Harish what was the purpose of Vinculum number to reduce you are again putting eight as eight okay wait wait wait wait aruna has given the answer aruna has also given the answer let me write that also we will check everybody's answers three bar one bar zero three and one bar so you are also doing the same okay yes sir who is who gurrit answer i got it as three bar 1 bar 2 0 1 bar 3 easy sir I will yes tell me tell me sir first three bar one bar h zero m two H two bar anyone left I think everybody has given pushba yes pushba first one only sir for me also 3 1 2 3 now don't don't do that a bit sir Same so that is not one bar yes harish you are changing something yes sir okay tell me sir three bar one bar zero H two one bar three again you are getting more safe that's all with all only one is correct one all other are wrong i'll tell you why 281987 see now understand see this is how you need to understand every topic change your number in maths you have to play with the numbers otherwise numbers will play with you so choice is yours either you play or they will play now this is a question correct we'll sort it out first this is clear everyone did correct sir yes three abby I'm solving wait now wait everybody did this correct now I'm making you understand so this I applied one here the immediate left it was bigger so I subtracted from 9 i applied R2B again zero i applied R2B because R2B can be repeated two times I have repeated but now the number is smaller so I added R2 A up till here everybody was correct the problem arised you forgot that after R2A a you have to go to R1 i I I wrote that clearly and in the last example also this was happening so if you are supposed to apply R1 here what is you are going to subtract now this is second cycle the one cycle is finished because you are restarting from R1 r1 you started your cycle is complete again if you are starting something that means two bar this is now again R1 and now this is three you can check so this was a small mistake everybody did and Harish how eight becomes eight where I have see where I have written if number is bigger than five let it remain same it is written else let it remain same if that correct okay now it is clear sir once again sir 8 is 8 R1 no I'm sorry after R2 A we will come back to R1 s again yes yes yes see see here see here see the diagram and R2 A applied once I have written very clearly applied once and go back to R1 so what is R1 read R1 again No if number is greater that means you your second cycle is first position is greater than five subtract from subract that that that was that that that was right most we started now that cycle has finished the numbers have been done now the number is again new cycle so it is right most for that correct we still have numbers now it's clear okay I'll give you one question try solving that but very interesting topic if you just pay attention yes sir completed yes give me the answer four bar four bar again four bar sir three bar three bar five aruna 8 10 - 8 is nowhere 8 - 10 it happens and here I said this was earlier you might have asked what is the this answer same same okay bhwan also same aruna also same gurrit so I get it as five uh sorry it four bar four bar four bar Okay yes pushba harish question one yes harish sir five three bar four bar four bar three bar five uh you're starting from which side okay tell me first is four bar then four bar three bar five three digit only no four bar four bar three bar five so that madam the same one this one uh sir letting me okay now this is correct uh Gurit why you are wrong i'll tell you you're not understanding the point 4 6 5 4 I said R2B can be repeated where did I mention only two times it can be 10 times so this sorry this was not four it was six so first is you applied R1 yes sir up till here okay r2 B so 5 - 9 four bar here also is the same thing now R2 B so 6 - 9 four and five or second thing see what I taught you in the first lecture second lecture is this the answer this is the answer and I am correct or I have given you two methods to check so if you're not checked how will you get confident H do it that's five bar three bar 2 two bar three yes aruna harish so this five is the no five remains the same no first one you are asking me question you give your answer sir h five three bar two two bar three two bar five three my answer is five bar three bar two five bar three bar two bar and three very first thing tuna read the first five so five h four bar two one bar three harish yes don't don't mind see don't take it uh it's it's good for you let me not speak but it's correct Yes uh sir read uh rule number one first line read if number is greater than five where it is written equal to five second thing never why we convert five to five bar and the statement itself says when it is greater so five is not greater is first thing it is equal so if this will remain this and see because of that your things got changed you might not understand this difference answer may come correct but it is in long time it is a wrong so this will become four bar after four work this will be two now cycle changes so everybody did this correct the these points everybody did correct but five bar was totally wrong and because of and kalyani you wrote five so how three bar comes a little bit confused seven and doing that's something so that's what I said write all these rules keep in front and this will be only for two or three problems more because in uh in uh your 28 or I think I have given 48 questions are there so once you have done 10 things would be very much clear see I can give you a trick also you don't have to do anything but as a teacher you should understand the things I can give you one single trick within one second you can solve but that is not vic mathematics that's a trick okay now did you observe one thing I started with number okay let's start writing all the numbers what I did my first number was 37 write down you start writing all the all the numbers 37 second was 46 then 271 then 28 4 5 * 1 once 2 then 278 then 2987 then 21987 2201 29 81987 uh 4656 28165 Anything you observed This is your test now test of observation anything you observed in these numbers in the last we have 9 8 7 the bigger numbers sir above five mhm and everything with the two threes with the small numbers in front starting sir starting numbers okay yes uh Harish sir I'm observing okay observe sir yes last one for last last problem verification is getting wrong sir can you explain it well we'll just do we'll do give me one minute i'll do which one 28165 2865 sir all numbers you have given all are 10 sir 10 will come figure no no next finding it is getting 29,165 sir but question is yes yes yes sir 28,00 Yes we we did wrong this was two now it is correct it was two bar i was okay here it is written correct above is correct okay you might you might be checking this this was somebody gave the answer okay i'll I'll do no I I I'll tell you what was the vis yes leftmost number yes leftmost number is less than 5 correct is it is it possible every time no yes is it possible see so now let's come to rule number three but this is not a rule this is I call it as check point and very important thing this will be applied before rule number one how i'll tell you if leftmost digit is five or more add zero to its left okay don't write this don't write this first solve this question 988 forget that solve this you'll understand the things so what we do is Yes of 9 988 so two bar 1 bar 0 2 bar 1 bar 0 now do you know what is this number this is means -12 can 988 be equal to minus2 tell me every time numbers were same huh is it possible that 988 you can say is equal to minus 12 no who anyone kalyani two bar one bar i think uh I I'm not sure i think we need to add one sir why because Yeah yes yes yes so this was the problem that adding one is written at some places in Google I know but what why we do add if it comes zero add one if does not come then I'll show you certain places where it will not come so you have to be specifically so that is the reason what we do is now read this checkpoint if leftmost digit is Five or more add zero to its left now see this number number is 988 it is this is greater so let's me add zero any problem I did not change the number 988 is 988 now see the calculations two bar 1 bar 0 and 1 now it is correct or not 1,00 - 12 what is that 988 So first topic first thing you need to check is what is the leftmost digit if it is greater add zero finish then go back to rule number one and apply because only three rules will be applied rule one rule one 2 a 2 b this is just a check point for you but yes like Kalyani was saying if you can cram like this if it this here it is coming zero add one but what is the logic we don't know so what I have done is add zero whenever it is that so that we don't get confused in the answer see we cannot correct the answers but we can have the question in a correct format that is what I believe so that is the reason I have written rule three is a checkpoint did you understand this now I'll show you one more question 911 so adding zero me means zero so one one remains same 9 means one bar and one so 1,000 - 100 that is 900 + 11 finish yes any question if you have any doubt you have here please take one minute just think what we have done how we have done and any doubt you have please ask me take one take your Sir yes Kalani you told it's a we need to it is a checkpoint can you explain that also with this i had a doubt about this which one yeah uh 1 one one bar one is okay sir how we can check check what is digit sum of this two what is the digit sum this go this is two okay then expand one bar oh sorry one one bar 1 one so what is this 1,00 - 100 and + 11 or write this only what is this 900 and what is this 11 yeah yeah okay 900 and correct yeah yes now anyone has any questions so let's start practice okay first question 21432 convert same numbers [Music] no need to apply same number comes yes Gurrit i'm still trying to solve this sir same number my question is how is this number coming same yes Taruna Kalyani these are below five no sir yes I think they are below five pushba see why why you're putting so much of pressure on your brains which number is bigger no so it will remain same only now how can you convert any smaller number 1874 Now do Yes 187 274 three bar three two bar three bar others even me I get the same answer though also who else harish yes sir almost the same sorry the same sir yes anyone who has different sir four three bar three two bar two that is same same anyone okay then correct 6 7 8 1 7 8 7 Okay Two that's three bar two bar two two bar two bar three bar one you have two Yes harish Gur Aruna Tuna Kalyani the same sir same sir three bar two bar two bar three and one all same sir uh I got it sir but one one it's not considered sir clear one I don't one it will not come three bar two same sir one how can one so that so how come one just now what is rule number three harish okay just just hold on can a positive number be equal to negative number then just now I gave one example of 988 911 is it possible See this what was said if checkpoint left most digit is five or more add zero to it left again forgotten so first thing was you were supposed to write here zero this thing adding zero this you will understand when you'll be doing division by two odd numbers whenever odd numbers are to be divided by two we add dot and zero very important things yes kalyani forgot sir please show me the rule number three sir I will now draw down write down you'll get the video okay write down [Music] and zero to the left okay so this is first you have to apply and that means Harish you have not checked the answer so how can you give the answer without checking how can six and three bar be equal same kalyani see why again and again I'm focusing on digit sum because that will give you the doubt that will create you yes you are doing something wrong if the left side yes same I'm asking that you have written if the five is there for the left side again if five or more you have to put zero okay in some cases I I I'll show you something now just solve this I'll show you something 76 certain things you learn with experience then but for rules are to be Yes what is the answer harish Kalyani Aruna aruna you not answering two four bar two bar five ones two four bar two bar 51 two bar 5 1 yes sir kalani first no need to write once okay if you don't write one this is something 5,000US 200 so what is the value approximately 4,800 is 4,800 equal to 5700 yes tell me more then it is okay then it is right answer now tell me the your answer same answer okay I got it sir but I'm thinking about that one only is it correct or not like that but let us need to write five bars sir four bar sir my answer is two four bar two bar four bar one yes G two minutes i'm just checking out your name [Music] now under you Harish sir why did you kept four five as it is kalyani Aruna everybody why oh sir we applied this formulas else 0 1 2 3 4 5 let it remains the same that's why who told you to listen listen listen my dear sir we are we are in the we are in the place here nothing applied here we applied R1 here I applied R2B B what comes after R2B r2b itself r2 so four bar so this was supposed to be four bar four bar first thing and then one no sir everybody get wrong answerusion answer and then you'll be finding push pa sir can you tell again 5 7 6 2 Now the first thing is zero rule three I have done finish let's come to rule number one I cannot apply anything nothing applied here I applied R1 Any doubt up till here no sir no sir okay again immediate left to R1 is greater so I bar okay again it is greater or five where did I write see try to understand you cannot add one over here because it will become six so you have to subtract only so again R2BI we can repeat R2B no so four bar what happens after R2B there is no option you have to go to R2A zero becomes one and check your proof why 10,000us 400 will be coming something near to 5700 only but now see the game why I was saying don't put zero uh one directly I'll give you the reason now suppose I change this number 5 1 62 5 is still there 7 is changed to one give me the photo photo I can give you I'm again repeating I can give you a trick no need to understand everything but then knowledge will not be there understanding will not be there it will be again cramming so you have to understand empowerment or enrichment or enforcement so what is the answer for one that's two four bar two five so two four bar 2 five sir yes gurit aruna pushpa 2 4 2 5 1 sir not two bar sir two only sir not two bar sir only two sir answer and pushba this is not correct way same answer I got sir which one 524 2 4 by 2 5 this one only ah yes sir now see both the numbers in clearing you see here also I put zero because as per the rule but what happened here here it was R1 r2 A what after R2 A new cycle starts and what does R1 says if number is more than five else let it remain same so if five remains same zero will also remain same now how can zero change to one krid how one and you can check here it's very easy to check see five is same let's talk about this part only 200 minus 40 what is that 160 and + 2 so 162 only What I am trying to explain you is it does not matter that every five if a number is starting with five you will always get one before that no don't cram such things make your habit add zero if now this so please understand here it is five it does not make sense it will one will come here it depends on actually the second number it is not depending on first number five it is depending on the second number what you are applying there here I was applying R2B so in continuously I got R2 A here I was applying R2 A do so my my simple point is don't cram k if it is five answer will have one no see here I've shown you with example you need to understand just understand the rules first apply checkpoint that is rule three then go to rule number one and follow the procedure now any question you have any doubt any question you No questions take off 8 9 5 3 2 that is answer 2 3 5 1 bar one bar 1 3 5 1 One bar one sir 2 3 5 1 bar one bar one same s you are doing superb today I get the same What's up who is left anyone so if you understood this topic you become half trainers because this is what people fail yes there is some confusion initially but write down the three rules together you'll never be confused and remember this diagram in my earlier books this diagram was not there then after the classes I made this diagram or Can you give two more examples you give me any question you think now because questions also you should decide when you'll make questions then things will become very easy just thinking yes is there any question you can make out i'm trying sir i'm trying okay okay look 7 9 6 5 8 Do it i tried can I tell i tried yes yes two bar four bar three bar two bar four bar three bar z bar zero two bar two bar then one one correct y thank you got it yeah yes sir now same answer now again see now it is seven so even if here it was zero then also this one will come okay correct but with five the things I gave you two examples right but this you learn don't cram these things the these points you'll understand when you'll do practices right the more you'll practice more you'll be getting knowledge where is my yes anything yes ara any Question bant anyone push mic also off video also off so what will happen it is getting little bit difficult for me so how will how will it See kalyani is also asking Aruna is also asking on that Harish is doing superb so if you'll not ask who will understand that you don't you you're not getting something some answers I am getting exact some answers I'm going wrong I don't know where no no problem write all these three rules on one simple page with diagram and then do these questions you'll be getting see understanding is important i'll give you a trick to solve everything within one one second that is not a point solving is not the big thing biggest thing is understanding correct i'll give you that also is there trick is there that does not but I I wanted you yes sir i'm confused digit check so this one uh answer is uh one bar uh sorry one two bar 0 3 bar 42 zero add 9 they 27 27 is a question what is the digit uh sorry for that 33 bar correct what is digit sum Sum of this nine what is digit sum of this this is coming zero so that means nine now correct okay one more i taught this today 46 so what is digit sum one what is here five 4 bar so what is 5 - 1 1 here now let's you want this to be solved okay 9 goes here you can take 7 6 are 13 13 5 are 18 so can I remove all these only eight is left so digit sum is eight okay now observe this how many negatives are there six 2 8 8 and three 11 11 is minus and plus is 1 so what do you get - 10 means - one - 9 so what do you get if it is -1 + 9 8 Now confusion gone yes sir uh when I started that time only I gave you this first answer was 27 bar 2 3 7 so there we used 5 - 3 4 - 3 anyone who has any other Yes kalyani any other no sir so now 48 questions will be solved in how many minutes try solving tomorrow by tomorrow tomorrow is Sunday you can solve otherwise we have class on Tuesday 1 2 0 3 4 2 1 bar 1 2 bar 0 3 bar four bar two bar shall we expand this one sir how to expand you don't know I know sir but I didn't I'm not getting answer subtraction might be wrong sir I think then sir subtraction you do so this is one lakh back minus 20,342 simple see I got it subtraction i I have taken 20 sir okay i got it now 48 sums are the homework sir huh 48 sums are the homework yes it's very less don't check the trick before that i want the answers with this with answers but the you should know it is written there by see sometime what people are doing they are just giving me the answer uh what should I say okay it should be completely solved then only you understand that yes it is solved okay sir good night yes sir good night sir thank you sir okay bye-bye thank you sir okay