0.9 bar question is given in NCERT BOOK CLASS 9 WHOSE VALUE IS 1

@rhythmvaishnav7402

28 күн бұрын

@@sandeepapandit9573 9th dhang se padha hota to pata hota aapko ....... hai ncert class9 me ye

@vgx-sam8164

28 күн бұрын

Yeh ncert cooks in miscellaneous. people who solved intext exercises say it's easy 🤡

@vgx-sam8164

28 күн бұрын

​@@sandeepapandit9573miscellaneous khol ke dekh liya kar

@satyendrasenapati1461

28 күн бұрын

Bilkul sahi kaha bhai 😅​@@rhythmvaishnav7402

@titangamingfreefire2217

28 күн бұрын

Sahi baat hai😂😂​@@rhythmvaishnav7402

There are Two explanations: First one is related to Class 9th NCERT where we use the method to find the rational expression of non terminating repeating numbers Second one is logical, 0.9bar is equal to 1 because there exists no real number between 0.9bar and 1 and if there exists no real number between two numbers then numbers are equal so 0.9bar is equal to 1

@sagnikroy3633

22 күн бұрын

Your whole concept regarding this is wrong 0.99999.... is never 1 it is tending to 1- And this is the basic concept of limits

@narendratanty4604

22 күн бұрын

But they think they are mathematician...so we can't argue with them 😅😅😅​@@sagnikroy3633

@pulsar2977

21 күн бұрын

​@@sagnikroy3633dude did u not watch the video?

@sagnikroy3633

21 күн бұрын

@pulsar2977 Yes, I watched, and you better go and study limits first

@e_pi_i_is_-1

20 күн бұрын

​@@sagnikroy3633that's not really a limit.

The logical proof of " 0.999..=1" is that there exists no number between 1 and 0.999...and hence these two are exactly same

@Athreya-dc1vy

28 күн бұрын

Abey tu yaha bhi mila😭

@mridulacharya8250

28 күн бұрын

@@Athreya-dc1vy 😭😭😭 Likes ka bhooka

@VinitKr086

27 күн бұрын

But shouldn't there be a real number between any two numbers on number line?

@mridulacharya8250

27 күн бұрын

@@VinitKr086 *Between any two distinct numbers If there aren't any real numbers between two numbers then those numbers aren't distinct

@mihirtejaswi5080

24 күн бұрын

​@@VinitKr086 yes, there should be a real number btwn any two real numbers. Since there is no real number btwn 0.9bar and 1, they must be equal

Thanks for 150 Subscriber KZread family 🎉 Check Community post 🎉

I salute your knowledgw and explanation 🎉

soch pa rahe ho ? -> nahi -> kyunki hai hi nhi 4:30 WAS EPIC 🤣💀

@naruto7034

11 күн бұрын

Ye kya galat time stamp hai bro 10 sec pehle dalo 4:20 is more accurate

Mathematically, `0.9̅` is equivalent to 1. This can be shown by the following reasoning: Let x = 0.9̅ Then, 10x = 9.9̅ Subtracting the first equation from the second: *10x - x = 9.9̅ - 0.9̅* *9x = 9* *x = 1* Thus, [0.9̅] = 1

@ZENTHofficial

11 күн бұрын

class 9 concept

@naruto7034

11 күн бұрын

Dost Mai itna andar kyu gussu .9 is definitely closer to 1 hence if assumed it has to be 1 not 0

@AM-sd3rh

8 күн бұрын

​@@naruto7034Bhai do jagah bhot andar tak ghusna padta hai , ek maths aur doosra mujhe batane ki zarurat nhi hai

@shashwatsen7150

4 күн бұрын

Its actually 0.9999999999..... So multiply by isnt possible you doesn't know it is an infinite digits

@Swapneel007

4 күн бұрын

If we subtract both equation an (infinite - infinity) indeterminate form appears...so this process is not valid at all

4:22 aaj pata chala iss channel ka naam bhannat maths kyu hai dimag bhanna gaya ye sunn k

for all practical purposes,0.9 bar=1 is indeed true,but strictly speaking its incorrect i will explain it in two ways firstly lets consider L=1-(0.9 bar) 0.9=9/10 0.99=99/100 and so on (0.9bar=(999.../10^n)) where n is very large 0.9bar=1-(1/10^n) now mostly everyone just applies limit n->infinity and conclude that these are indeed equal,but if we properly use epsilon delta definition,we will see that lhs would only "tend" towards rhs in the long run,but they are not equal second way is just visualizing this graphically,consider the graph of (0.1)^n,no matter how large the value of n is,this graph will never touch x axis(y=0),hence 0.9bar

@aleph_naught

25 күн бұрын

Brother it's exactly equals to 1 even by Epsilon delta definition

@mihirtejaswi5080

24 күн бұрын

It is equal to 1 it does not tend to 1. 1-1/10^n tends to 1 as n tends to infinity and hence the "Limit" Is 1. Lim as n tends to infinity of 1-1/10^n is equal to 1. Limit of anything does not "tend" anywhere. It is equal to some value or it does not exist

@sarthaktiwari3357

23 күн бұрын

Okay ... You meant 0.9 bar is less than 1 then by density of real numbers there must exist a real number that is greater than .9 bar and 1 .. can you tell me even a single such real number????

@talkingmurga5554

23 күн бұрын

Bro your "n" stuff starts the problem from itself. n should not be a very large number, but maybe ∞. Because bar shows infinite distribution after decimal.

@Nakul_000

16 күн бұрын

​@@sarthaktiwari3357 ever heard of the word adjacent?. Your concept of there exists some real number breaks down when you're taking a number that is in infinity form.. like 0.99999.....

Sir , Aap ne AOD,limits, functions ki kuchh video hide kr diye h kiyu sir ? Pls reply me

It is so easy to understand for those people who like infinite series.

i think when we are dealing with infinities of any kind the situation becomes more philosophical and less logical

@AdityaKumar-gv4dj

28 күн бұрын

No, logic is still there abundantly but I get your point 👍

4:22 aise to agar domain mera real number k jagah integer ho to 0 = 1 ho jayega kyoki "soch he nahi paa rahe" koi integer jo 0 aur 1 k beech me ho, to usse 0=1 thode he ho jayega? ye samajh nahi aya. agar koi doosra number system le liya jaaye, to ho sakta hai 0.99999... aur 1 k beech me koi number exist kare? converging GP wala sabse aasaan lagta hai samajhne me mujhe to agar reason karna ho to. lekin, lekin, lekin.... aapka logic se 0.4999999... = 0.5 predict kar liya tha to i guess intuitive ti tha. thank you.

Because 0.9 bar is non terminating there will be no other value bw 0.9 bar and 1 so it can be treated as 1 only and GIF of 1 is 1. Simplest explanation i could think of. Do lmk if incorrect.

Awesome explanation. Very informative...

We can also prove it as: (1/3)×3 = 1 ...(i) 0.3333... × 3 = 0.9999... ...(ii) But (1/3) = 0.3333... Therefore, by equations (i) and (ii), 0.9999... = 1

@adityagoyal7110

28 күн бұрын

Yes that's what we did in 9th

@anamitrakundu56

28 күн бұрын

​@@adityagoyal7110 wbse me class 6 me hai

@Aaravs21

27 күн бұрын

Wrong proof first are you sure than 1/3 is exactly equal to 0.3bar

@Garvit_Verma

24 күн бұрын

@@Aaravs21 Yep! 1/3 = 0.3333333.....

@Garvit_Verma

24 күн бұрын

@@anamitrakundu56 When I was in class 7th, I just thought about this proof.... [I saw the previous video of this channel also on the same topic]

Perfect knowledge .

Thanks sir, it was new for most of us.

Great explanation Sir

Great Explanation ❤

Aman sir great🎉🎉✅️❤️✅️❤️✅️❤️

It is humble request to you Sir to discuss some tough arithmatic problems as well.

If we go by limit that is if we tend x to 1- and GIF is outside the function then it gives ans 0 Lim. [x] = 0 x approaches 1- 0.9 bar is what? It is x approaching to 1 from left hand side. So if go by this way the ans will be 0.

Box ki property hoti - x ka gif -1-[x] ke equal hota usse zero aa rha hai. But such problems never come jee jab ayengi tabhi pata chalega.

Just because the difference is really really small, do NOT mean they are equal. GiF me equal ya less than the orginal number aata hai, na ki greater than the orginal number.

Hello Big Guduji, from which original verb you've found da word "explaination' as noun ? Isn't it "explanation"?

Kuch jyada hi pyar se padhate ho ap sir.

Lovely Sir ❤

[0.9]=1 seems to be the mathematically repeating decimal [0.99999...]=1 simple proof of this concept . let x=0.999... Multiply both sides 10. Get ,10x=9.999... Subtract x from new equation 10x-x=9.999...- 0.999... 9x=9 divede 9 both sides. We get x=1. x=0.999... [x]=1. [0.9]=1 hence proof that.

Doubt : Sir 0.999999........ aur 1- (Left hand limit of 1) Mei kya difference hai ????? Kya yeh notation same hai ??? 💥💥

@detectiveandspynovels7140

21 күн бұрын

0.999999…… -1=0

Why are you deleted function and relation old series please sir tell me

Ma ksm gajab ka proof diya sir.

Aise 1-¹ and 1+¹ is also 1 there will be no limits?

Sir if we take two consecutive number then no number lie between it the given number we can say tends to 1 from lhl so its gif should be 1

Sir kuch din pehlhi yeh sawal mere man mein aya aur dekhiye ajj agaya video,mai ek chiz notice kar raha hoon ki jo mai sochta hu abb abb wo mere sath hone laga hai,kuch powers agaya hai seriously

Correct explanation

so if 2=2 cuz there is no real nom between them so if we subtract 2-2 we get zero but if we subtract 1-0.9 bar we won't get zero . that does means they are not equal and hence its greatest integer will be zero

what about right and left nieghbours of a number

Sir toh fir kisi function ki range me open 1 or closed one kyu hi likhte hai?

Sir aap kahan se , konsi book m dhoond lete h itni interesting cheeze

0.9bar is equal to 1 Yeh recurring decimal number ka concept west bengal board me 6th standard ke syllabus me hai.

Sir by trick 9-0÷9 =1 • • • true...😊

sir infinite gp ke sum se bhi kr skte hain

😱😱 point of view!

ok sir i agree your explanation,thats a very excellent question that i ve ever seen but i have a doub,t you said if the two numbers are equal so there is no real number between them ,for ex: 2=2 so if i multiply 1 on both sides 2(1)=2(1) 2=2 lhs=rhs if i multiply 2 on both sides 2(2)=2(2) 4=4 lhs=rhs similarly: 0.9(bar)=0.1(as u said ) if i multiply 1 on both sides 0.9(bar)(1)=1(1) 0.9=1 lhs =rhs if i multiply 2 on both sides 0.9(bar)(2)=1(2) 1.9999999999.....................8 =2 1.98 =2 (where 9 have a bar) so as u said there is no number between two equal number so how it is contain 1.999bar) between 1.98 and 2 sir if u r seeing it sir please make a specific video and explain it please sr thanks for 69 likes (also reading this )

@astitva3072

12 күн бұрын

the entire concept of "bar" is that it never ends, there are infinite 9s after the decimal point, so 8 never comes, it's only 1.999999999999999... all the way through, there is no end where 8 exists

SIR WILL YOU PLEASE MAKE A VIDEO ABOUT 'HOW TO MAKE GRAPH OF THE FUNCTION x^x'

Make it in simple way The given expression (9-0)/9 =9/9 =1

This is not concept of class 9 real numbers but It is of class 11 GIF see this [ ] sign.Don't mix it with real numbers.GIF stands for greatest integer function.

Then why is lim x-->1- [x] = 0 ? it should be 1

@devcoolkol

28 күн бұрын

This limit does not exist, if we take RHL it will give 1 and LHL will give 0.

@digitalogy2807

28 күн бұрын

1- refers to number smaller than 1. Here, we simply don't know whether 0.9 bar is smaller than 1 or not. Then how can you say its GIF is zero?

@AdityaKumar-gv4dj

28 күн бұрын

​@@devcoolkolHe said about tending to '1-' not '1'.

@AdityaKumar-gv4dj

28 күн бұрын

You can say that x=0.9999999998 something, but not 0.9bar as 0.9 bar is equal to 1, here it is x->1- i.e. a number less than 1, here 0.9 bar is equal to 1 so we can't tend it to that.

@ojashd8685

28 күн бұрын

@@devcoolkol i am not saying about limit i am only talking about LHL

Main jitne bhi Sir se mila hu ajtak Aman Sir mera favourite Sir hain

Thank u sir

sir please some questions should be posted in app for free pyqs

sir does this mean that 1^- < 0.9 bar ?

Why not it be considered as the largest number between 0 and 1? You see there are two possibilities when there is no real number between two real numbers: 1. The two are same 2. This case I like GP explanation more because if this number is a representation of that infinite GP, then its OK.

Another method, Let x = 0.999999.... (1) 🤐 Multipy eqn. (1) by 10 , 😟 Then, 10x = 9.9999...... (2) 🤔 Then Subtract eqn. (1) from(2) Then we get, 9x=9 So x =1. [H.P.❤❤] Tnx 💞 to bol do ❤....... { jisko ans. Nhi aata vo 9th dhang se pd leta 😁😆 haha..... }

@Sakshamkethoughts

28 күн бұрын

Acha thnx 💀

Infinite series se bhi iska proof hai. But sir aap jo explanation diya woh bas ek intutive idea mathematically proof also important here

0.00000000...........1 ka differnce jo bahot bahot bahot minor hai jiska aprrox value natural number ayyega

Agar ye explanation maan liya jaye to phir GIF ka Har integral points per limit exist karega, aur wo continues bhi hoga.

No Namo sir is harmed here😂😂😂

If we subtract both equation an (infinite - infinity) indeterminate form appears...so this process is not valid at all

Then how limit x tends to 0- step x = 0 X tends to 0- means there is no number between 0 and 0- Once explain sir

Using infinite series, we can prove it easily..

Sir 12 start kr rha hu and maths my fav subject kya koi play list hai jisse mai advance level tk maths padh sakta hu ??❤❤❤

Sir rational density theorem kya kahti h..

We can take mean to get a no. Btw 1 and 0.9bar

10:25 ya hi satya hai was amazing

Mast teacher hai ya to 😅😅

Sir, please 😟 make a video on the question : Q. The equation (x ^ 2 + x + 1) ^ 2 + 1 = (x ^ 2 + x + 1)(x ^ 2 - x - 5) for x \in (- 2, 3) will have number of solutions, (1) 1. (2) 2. (3) 3. (4)Zero. Sir I waiting for your video. 🙂🙂🙂🙂🙂

2/3 + 1/3 = 1 0.6bar + 0.3 bar = 1 0.9bar = 1 Hence proved😊

@trivikram4962

28 күн бұрын

Bhai u can't take bar like that

@HITANSH_JEE2

28 күн бұрын

Bhai complex number thodi hai ye kuch bhi

@AdityaKumar-gv4dj

28 күн бұрын

​@@trivikram4962 nhi shi hai buss thoda sa ajib sa lag rha hai solution.

@trivikram4962

28 күн бұрын

@@AdityaKumar-gv4dj sahi nahi hai, galat assumptions hai, 0.9bar can never equal to one it can tend towards one, there's a contradiction with saying that 0.9bar=1

👍👍

Sir, the answer is 0 As sir 0.999.... is tending to 1- Not exactly 1 And using limits, we would get 0

@adityaagarwal636

13 күн бұрын

Its not trending to 1. Its exactly 1

but this feels so...fishy, i don't know how to say it. its almost like its going against the definition of the box function

@abhirupkundu2778

28 күн бұрын

it is not, because 1/3*3=1. now 1/3= 0.3(bar) and multiplied by 3 it becomes 0.9(bar). From equation 1, 0.9(bar)=1. So the floor function(box or GIF) gives 1 for 0.9 bar.

@theseusswore

28 күн бұрын

@@abhirupkundu2778 i get it, but still, it feels weird to label 0.9 bar as 1 directly *just* because we can't list another real number between it and 1. why do we do that? just because they're very close? then on the scale of integers, why do we treat 1,2,3 as discrete numbers? since in the domain of integers there's nothing between them, isn't 1=2=3 by the same logic?

@allisrobloxyt9113

28 күн бұрын

Your questions sums up your answer. In the real world, there are infinitely many real numbers between two unequal real numbers. But there is no such condition about integers. However, I do understand how it *feels* weird that 0.9 bar=1. Perhaps it is because we do not grasp the concept of what infinity is.

@shantiprakashbihani1420

28 күн бұрын

@@abhirupkundu2778 when you look at 0.9 bar originally it gives the answer as 0 , but when you derive it from some other expression it gives 1 , so I guess the answer 0 is right

@abhirupkundu2778

28 күн бұрын

@@shantiprakashbihani1420 no it is not. Think logically. 0.9 bar is 0.99999....infinite times. This number is the closest number to 1, and it is so damn close, it is even closer than takimg a limit x->1-. 0.9 bar is actually the closest approximation of 1. Hence in a GIF or floor function,

Senses Pro digital board lena chahiye koi iske bare me jante ho

sir how to join ur 11th Math class

Sir i would like to question your logic by Agr 0.9bar and 1 ke bich mein koi real no nhi hai toh 0.9 bar=1 ok But then if 0.9bar=1 so 0.9999999999.......................at last 8 and 1 ke bich mein kon sa real no hai Kyuki 0.9bar and 1 equal hai Agr nhi hai toh kya ye no. Bhi 1 ke equal hoga aise toh hae decimal 1 ke equal hoga

Various papers were published on this questions and to the conclusion the gif of 0.9 bar gaves 1 because 0.9 bar is actually 1 itself and it's gif gaves 1. I asked this from my ioqm teacher and he replied same

.999------ is not an exact number but 1 is an exact number.How can you represent .999--------- on number line. When you will represent it on number line,you will never reach 1 in your whole life.Then,how can they be equal. Add .999-------+.999--- .what will be the sum.Please,try

@indianinformer1630

28 күн бұрын

@@ashtavakraphysicsclasses1213 This is happen due to infinity I am with you

Just because infinity is not defined, while proving we take 1 extra 9 beacuse of infinity.

Sir robot 🤖 ban gaye😅

Sir apke channel se inverse trigonometry ka playlist kyu ht gya

Sir any authentic source of this?

mere dimagh mein mai yeh soochata hoon kay epsillon yah kay dx jaise koi number nahin balke conceptual quantities hotay hain maths aur physics mein, joh zero se jyada aur koi bhi real number se kam hotay hain, inkoh aap relate kar sakatay ho 0.9999.... se epsillon = dx = 1 - 0.9999....

The basis of calculus lies in the explanation above.....

[0.1bar] 4:30

1 should be the least upper bound of 0.999... Here we take the greatest integer function of 0.999.... Since 1 is the lea least upper bound of 0.9999... which is integer also . So Great integer function of 0.9999... is 1

Ok I can agree with it but i have a another question that's 2+2 = 4, then 1.9 bar + 1.9 bar =3.9.....8 but not equl to 4 can you explain this question.........

❤❤❤❤

I'm just asking whether 0.000000.......1 will not be there between 0.9bar and 1?

if we assum infinity as a constant then there is a number we gets when we subtract 1 and 0.9 bar that is 1-0.9bar = 10 ki power - infinity 1-0.9bar = 10^(-)infinity

Then 1.1bar is also equal to 1

Sir is also applicable for integers, or it just for rational number?? I mean integers are also part of rational numbers but still Your justification isn't sufficient for it I'm really confused 🤯🤯

Ye hme pta tha ise hmlog 11th me gp padhte time sikhe the

Sir if .9bar is written up to six digit surely there exit one number between .9bar and 1 which is equal to= .000001

@sopusuryawanshi6934

18 күн бұрын

Lekin recurring ka matlab infinite hota hai

0.9999••• infinity ki tarah hai, aur infinity to koi number nahi hota, to ham use number kaise consider kare?

Sir but then limit ka toh Sara concept hi contradictory ho jayega

Let, x = 0.9999... ----- (i) On multiplying both sides of Equn. (i) by 10 10x = 9.9999... ----- (ii) Equn. (ii) - Equn. (i) 10x - x = 9.9999... - 0.9999... => 9x = 9 => x = 1 Hence proved.

Agar sir hum natural number ki baat kare toh 2 and 3 ke beech main bhi koi number nahin aata hai so 2= 3 hoga kya

@maskboy1684

4 күн бұрын

2.1,2.2,2.3.......left the chat😂😂

This is valid sol. That 1 write is 0.99999 Now 099999=0.9+0.09+0.009+0.0009+0.00009 Thus common ratio is o.1 Then 0.9/1-01=1that's it

@mathsworld001

9 күн бұрын

Check the derivation of this formula

🙏

1/3 = 0.3....... if, 1/3 * 3= 1 then, 0.33.......* 3 =1 So, 0.9999999...... = 1