Do You Know The 𝗖𝗼𝗿𝗿𝗲𝗰𝘁 𝗔𝗻𝘀𝘄𝗲𝗿 ?
Вставка
- Опубліковано 3 лип 2024
- 𝗗𝗼𝘄𝗻𝗹𝗼𝗮𝗱 Our App From Google Play Store :
play.google.com/store/apps/de...
For App Related Queries :-
Email Address : rankbuddy.official@gmail.com
Whatsapp Number : 8800825254
----
Join us on Telegram - t.me/bhannatmathsofficial
#maths #mathstips #bhannatmaths
0.9 bar question is given in NCERT BOOK CLASS 9 WHOSE VALUE IS 1
@@sandeepapandit9573 9th dhang se padha hota to pata hota aapko ....... hai ncert class9 me ye
Yeh ncert cooks in miscellaneous. people who solved intext exercises say it's easy 🤡
@@sandeepapandit9573miscellaneous khol ke dekh liya kar
Bilkul sahi kaha bhai 😅@@rhythmvaishnav7402
Sahi baat hai😂😂@@rhythmvaishnav7402
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
class 9 concept
Dost Mai itna andar kyu gussu .9 is definitely closer to 1 hence if assumed it has to be 1 not 0
@@naruto7034Bhai do jagah bhot andar tak ghusna padta hai , ek maths aur doosra mujhe batane ki zarurat nhi hai
Its actually 0.9999999999..... So multiply by isnt possible you doesn't know it is an infinite digits
If we subtract both equation an (infinite - infinity) indeterminate form appears...so this process is not valid at all
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
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
But they think they are mathematician...so we can't argue with them 😅😅😅@@sagnikroy3633
@@sagnikroy3633dude did u not watch the video?
@pulsar2977 Yes, I watched, and you better go and study limits first
@@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
Abey tu yaha bhi mila😭
@@Athreya-dc1vy
😭😭😭 Likes ka bhooka
But shouldn't there be a real number between any two numbers on number line?
@@VinitKr086
*Between any two distinct numbers
If there aren't any real numbers between two numbers then those numbers aren't distinct
@@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
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
Brother it's exactly equals to 1 even by Epsilon delta definition
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
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????
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.
@@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.....
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.
4:22 aaj pata chala iss channel ka naam bhannat maths kyu hai dimag bhanna gaya ye sunn k
soch pa rahe ho ? -> nahi -> kyunki hai hi nhi 4:30
WAS EPIC 🤣💀
Ye kya galat time stamp hai bro 10 sec pehle dalo 4:20 is more accurate
Sir , Aap ne AOD,limits, functions ki kuchh video hide kr diye h kiyu sir ? Pls reply me
I salute your knowledgw and explanation 🎉
i think when we are dealing with infinities of any kind the situation becomes more philosophical and less logical
No, logic is still there abundantly but I get your point 👍
Aise 1-¹ and 1+¹ is also 1 there will be no limits?
Thanks for 150 Subscriber UA-cam family 🎉
Check Community post 🎉
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.
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.
Perfect knowledge .
Hello Big Guduji, from which original verb you've found da word "explaination' as noun ?
Isn't it "explanation"?
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
Yes that's what we did in 9th
@@adityagoyal7110 wbse me class 6 me hai
Wrong proof first are you sure than 1/3 is exactly equal to 0.3bar
@@Aaravs21 Yep! 1/3 = 0.3333333.....
@@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]
Awesome explanation. Very informative...
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
Thanks sir, it was new for most of us.
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.
Sir toh fir kisi function ki range me open 1 or closed one kyu hi likhte hai?
[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.
It is so easy to understand for those people who like infinite series.
Great Explanation ❤
Great explanation Sir
Why are you deleted function and relation old series please sir tell me
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
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 )
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
Doubt : Sir 0.999999........ aur 1- (Left hand limit of 1) Mei kya difference hai ????? Kya yeh notation same hai ??? 💥💥
0.999999…… -1=0
Aman sir great🎉🎉✅️❤️✅️❤️✅️❤️
Sir by trick 9-0÷9 =1
•
• • true...😊
what about right and left nieghbours of a number
Then why is lim x-->1-
[x] = 0 ? it should be 1
This limit does not exist, if we take RHL it will give 1 and LHL will give 0.
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?
@@devcoolkolHe said about tending to '1-' not '1'.
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.
@@devcoolkol i am not saying about limit i am only talking about LHL
Lovely Sir ❤
Sir aap kahan se , konsi book m dhoond lete h itni interesting cheeze
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
2.1,2.2,2.3.......left the chat😂😂
It is humble request to you Sir to discuss some tough arithmatic problems as well.
sir infinite gp ke sum se bhi kr skte hain
If we subtract both equation an (infinite - infinity) indeterminate form appears...so this process is not valid at all
Sir, the answer is 0
As sir 0.999.... is tending to 1-
Not exactly 1
And using limits, we would get 0
Its not trending to 1. Its exactly 1
Correct explanation
Senses Pro digital board lena chahiye koi iske bare me jante ho
0.00000000...........1 ka differnce jo bahot bahot bahot minor hai jiska aprrox value natural number ayyega
Ma ksm gajab ka proof diya sir.
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
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
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.
@@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?
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.
@@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
@@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,
0.9bar is equal to 1
Yeh recurring decimal number ka concept west bengal board me 6th standard ke syllabus me hai.
sir does this mean that 1^- < 0.9 bar ?
Make it in simple way
The given expression
(9-0)/9
=9/9
=1
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. 🙂🙂🙂🙂🙂
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
😱😱 point of view!
2/3 + 1/3 = 1
0.6bar + 0.3 bar = 1
0.9bar = 1
Hence proved😊
Bhai u can't take bar like that
Bhai complex number thodi hai ye kuch bhi
@@trivikram4962 nhi shi hai buss thoda sa ajib sa lag rha hai solution.
@@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
Thank u sir
SIR WILL YOU PLEASE MAKE A VIDEO ABOUT 'HOW TO MAKE GRAPH OF THE FUNCTION x^x'
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.
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
Sir tab aap bataiye ki 1 ke just adjacent aur usse kam konsi value hai ?
0.9bar8
@@shailnair2243 well you are not allowed to use bar as that.
@@shailnair2243 also 0.9 bar 8 is same as 0.9 bar
Sir apke function Trigo ITF ke lec hied ho gaye he kese dhekhe plz help immediately 💀❌❌❌❌
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....
Sir any authentic source of this?
sir how to join ur 11th Math class
Sir if .9bar is written up to six digit surely there exit one number between .9bar and 1 which is equal to= .000001
Lekin recurring ka matlab infinite hota hai
sir please some questions should be posted in app for free pyqs
👍👍
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..... }
Acha thnx 💀
0.9999.. = (0.33333..) x 3
[Let x = 0.9999..]
x = 1/3 x 3
[3 cancels out]
[x = 1 ] ✓
If two stone is placed just one after one then there is no stone between them. Is that mean two stone is in same position??
No, but we can surely add another stone in between those 2 stones
The stones are not 2 but 1
@@C.I.D_Inspector_PJ_Mask no I mean if two stones touches themselves then?
We can take mean to get a no. Btw 1 and 0.9bar
Using infinite series, we can prove it easily..
Main jitne bhi Sir se mila hu ajtak Aman Sir mera favourite Sir hain
Infinite series se bhi iska proof hai.
But sir aap jo explanation diya woh bas ek intutive idea mathematically proof also important here
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
Check the derivation of this formula
Sir i have a doubt tha if
In LCD we take gif of 1 ( negative ) lim x tending to 1 (negative)
That we take as 0
Sir vo to galat ho jayega na
To i dont except that
Ya fir in dono me farq kya hai ...?
Btado sirrr ....
Idiot both are different things.
x=•99999----
Donot muliply by 10 on both sides
But add 10 times,then show,x is 1.Multiplying by 10 or adding 10 times must give same result.
Please reply.
Whole life will spend in answeing.
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 ??❤❤❤
Just because infinity is not defined, while proving we take 1 extra 9 beacuse of infinity.
Sir ye question mere man me bahot din se tha pr ye mujhe pata h kya isko limit ka use krke explain Kiya ja skta h ??
Mast teacher hai ya to 😅😅
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
The simplest explanation:
What is 1÷3 if we use decimal point?
1/3
=0.3 + (0.1/3)
=0.3 + 0.03 + (0.01/3)
=0.3 + 0.03 + 0.003 + (0.001/3)
=0.3 + 0.03 + 0.003 + 0.0003 + (0.0001/3)
= 0.3333 + 0.0001/3
You can go on infinitely....
Now if you multiply this with 3, you get
[0.3333+(0.0001/3)] × 3
=0.9999+0.0001(=1=(1/3)×3))
So, if you want to express 0.9999+0.0001 using only nine, you can do so by using
0.0001= 0.00009+0.00001
Now, 0.9999+0.0001
= 0.9999+0.00009+0.00001 as above
=0.99999+ 0.00001
= 0.999999+0.000001
=0.9999999+0.0000001
=0.99999999+0.00000001
=0.99999999... =1
Putting it in anothe way,
1=0.9 +( 0.1)
= 0.9 +( 0.09+0.01)
=0.99+(0.01)
=0.99+(0.009+0.001)
=0.999+(0.001)
=0.999+(0.0009+0.0001)
=0.9999+(0.0001)
= 0.9999...=1
This bar expression implies that there is always a remaining part having 1 in the form of 0.1, 0.001, 0.0001...
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 🤯🤯
1/3 = 0.3.......
if, 1/3 * 3= 1
then, 0.33.......* 3 =1
So, 0.9999999...... = 1
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.
0.9 bar = 0.999999999.........
Let X = 0.9999999999...........
Then 10X = 9.9999999999999.........
10X-X=9
9X=9
X=1
So, [0.9 bar ] = [1] = 1
Correct Bro !!
Great bhai
भाई यह तो डेसीमल टु फरैक्सन वाली तकनीक है ।
Agar ye explanation maan liya jaye to phir GIF ka Har integral points per limit exist karega, aur wo continues bhi hoga.
yea it's totally true there is no number between 0.99999..... and 1, but think about what infinity means jn practical sense, for example...it means just a lot of 9 ..so if we write 0.999999..= x
10x = 9.999...., But this can't have infinite digits...i mean yea mathematics says it does, But think of wht infinity means, it means large number it does...lets take e.g
0.9= x
9.0= 10x
9x = 8.1, x= 0.9
0.99= x
9.9= 10x,
Hence x= 0.99
Hence if we consider a really large number, 0.9999999....
X we wil get 0.9999999999..., but this isn't 1, This approaches 1 , i.e. everytime you take more number of 9, the difference decreases and decreases, and we say it becomes 0 bcoz everytime we give a arfument suppose the difference is. We say 0.0000001, there is gonna be another guy who says it is 0.00000001, Hence we can't give an exact argument as to how close we can reach, but this can't be 0 , this can be very close, similarly, 0.999... can be very close to zero, But there is always another guy who is gonna gice an argument as adding one 9, hence i personally think it should be 0,
+ I can give an example of how playing with infinity can result into:-
1- 1+1-1+1-1...= t
1-(1-1+1-1...)= t
1-t = t
t= 1/2, THIS ISN'T POSSIBLE, WHY DID THIS HAPPEN?? BECAUSE when we wrote 1+(1-1+1...), in the brackets, we had one 1 less than infinity, now ofc mathematically thats infinity BECAUSE WE CAN'T COUNT BOTH INFINITY, AND INFINITY-1 HENCE BOTH ARE GIVNE SAME NAME, BUT THERE AWLAYS EXISTED A PERSON WHO COULD SUBTRACT ONE FROM REALLY REALLY LARGE NUMBER INFINITY, AND HENCE WE CAN SAY ITS INFINITY LOGICALLY BUT MATHEMATICS I DON'T THINK SO, now question arises where can we take infinity and infinity -1 same, lets say we are finding
1/x and 1/(x-1) and x approaches infinity, we say both are zero, Because both are very large numbers ,and difference between 1/x - 1/(x-1) is gonna be lesser and lesser and x becomes larger and larger, so we can take same because both values aproches 1 , but can we say they are equal?? nope...like sometimes saying they are equal might not change much, e.g in this example of 1/x , x-1 did nothing, BUT IN EXAMPLE OF 1+1-... IT CHANGED very much, hence it depends on context and questions , if infinity and infinity -1 give same result (very close) or they give different, actually we people whej we get same results say it is same and apply it and get shocked to things where this dont tvie same result e.g 1+1- ... Example, But understand they are not same!! Its just tht sometimes it give same results, and sometimes it doesn't.... Thankyou for reading
(The text cut is by mistake and glitch by yt)
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.........
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
0.99999999 = 1 ( Indian mathematician ( Sridharacharya book 760 C E ) Proved
❤❤❤❤
There exists infinite number between o.9 bar and 1 so how it is possible?
Sir, i can't accept that 0.99999.... = 1 because it will become 1 when 0.00000....1 added to 0.999999.... . So their is difference of 0.000....1 between two numbers.
It will be zero only
How did you find 0.00000....001 Is the difference
In gif we always take nearest value of it
No
🙏
sir aapke function Trigo ITF ke lec hide ho gaye he😡 kese dekhe plz😢immediately 💀💀💀
Sir only (0.9 )or( 1 )ke beech mai konsa number hai
0.91,0.92...... infinite numbers
there are infinitely many 9s in 0.9999..., and the moment you start comparing infinities, you will be in a dilemma :) I mean saying that 0.99999... and 1 to be equal, according to me, is like saying infinity=infinity+1, and again you have compared two infinities:) i may be wrong so pls correct me!
According to me you are incorrect. First of all infinities are not comparable and not relevant to this as they are just a different topic. Here, we say that if two numbers are same there will be no numbers between them. And 0.9 bar and 1 have no number between them. This has no connection with infinities
@@digitalogy2807 1. I just told the same thing, that you can't compare infinites or else you will be in a trap.
2. how many 9s are there in 0.9"bar"? too many, right? I mean how can you prove me that there are no numbers between 0.999... and 1, by just saying so? You can not "count" how many 9s are there in 0.9"bar", which somewhat relates to uncountability of digits in infinity, at the end infinity is just a depiction of large quantity, not a number! Although I agree that infinity is a different topic, but why not relate here... pls tell where i am wrong :)
that's exactly my thought
No, 0.9999... is not infinity. It has absolute value of 1. Only that infinite number of 9's can be used after decimal point to express 1.