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0.1111111111111.....(recurring) can be written as a fraction
as 1/9.
When the recurring decimal is multiplied by 9,
we get 0.99999999999999999999........ (recurring).
But when we perform the same operation
on the number expressed as a fraction,
we have to multiply 9 and 1/9.
We get 1.
Therefore,
0.9999999999999999.........(recurring)
is equal to 1.
Satan said.....
I can frustrate human beings with tireless mathematical problems...
God said.......
I gave men the brain to solve all of them.....
Satan said .....
CAN YOU TELL ME WHAT IS THE LAST DIGIT OF SQUARE ROOT OF INFINITY ???
God said.......
Man has defined the infinite and the transfinite......
Anyhow, the squareroot of infinity ends in 6.....
Because Infinity itself ends in 6, not in 9.......
God is infintely superior to the Satan, if he says
Infinity ends in 6, it must.......
Ashes to Ashes,
Dust to dust,
If it doesn't end in 6,
it never must......
hahaha
You would be getting messages from me;
But, this one's a sitter.....
Any mathematician should be able to answer this;
Whats so special about the number 232792560 ???????
Superman, Batman, and Spiderman go to attend Tintin's Birthday Party. Superman, Batman and Spiderman have got into an understanding whereby each of them spend equally on any outing. Superman brings 5 candles with him, Batman bring exactly the same size and cost, but only three candles with him. Spiderman brings nothing with him but when they return after the party, hands over 8 Pounds as his contribrution. Now, the question is, how would Superaman and Batman share the amount such that all of them had spent equally on the party. Asterix has decided how that is to be done. Mickey and Donald are impressed. Phantom is astonished. Can you deliver the judgement?
The question was the shortest distance a spider crawls from one vertex to a diagonally opposite vertex;
the solution is reached thus;
the spide crawls from one vertex to the mid point of the two dimensional opposite vertex;
therefore the distance travelled would be square root of 10^2 + 5^2
Then, the spider crawls a similar distance to reach the diagonally opposite vertex;
Hence, the distance travelled would be 2 multiplied by square root of 10^2 + 5^2
That is, 2 multiplied by square root of 125, i.e. 2 multiplied by 5 multiplied by square root of 5
around 22.3 meteres.....
This is the shortest distance
In mathematics, 1 divided by zero is consrued to be infinity.....
There's a reason for that; when 1 is divided by an extrememly small number, like
0.00000000000000000000000000000000000000000000000000000000000000001,
the resultant is a very big number.
On the other hand, When 1 is divided by an extremely large number, say a centillion,
the resultant is so small that it is almost zero, repeat ALMOST zero, not zero....
But what happens when we divide 1 by a number as big as infinity?
The result is zero.
When 1 is divided by an infinitely large number, the result is an infinitely small number,
and when this infinitely small number is added to itself infinite number of times,
the result would be exactly 1, not any more.
This is difficult to prove, but the logic behind it is perfectly okay.
If you are interested in knowing more about infinity,
use any search engine and get information about
Hilbert's Hotel.
Tahts Pferctly rgiht! It otfen hapspnes wilhe tpye wrtniig! The baetuy leis in our cocntertanig on the frsit and lsat lteters!
Lets wait for more responses......I shall give the solution soon...
mathsyperson is correct.....neat work....
the exact value is 574.5875 and we take degrees centigrade plus 273..15 as Kelvin temperature....
Coming to his question, the bucket of water would at 30 degrees Fahrenheit would have frozen at thirtytwo degree F! so the ball wouldn't sink in the bucket of water at 30 deg f!!!
I guess you know the answer, but unable to put it in proper words...
Any precise answer?
Tell me, where I go wrong
Step (1) :- 1/4 > 1/8
Step (2) :- (1/2)^2 > (1/2)^3
Taking log on both sides
Step (3) :- 2 log (1/2) > 3 log (1/2)
Cancelling log (1/2) on both sides
Step (4) :- 2 > 3
Obviously, 2 is not greater than 3,
but I started with a correct inequation;
Where did I go wrong???
0^0 is neither 0 nor 1;
it is simply not defined....
certain functions in mathematics are indeterminate,
like 0/0;
when the numerator of a number is zero, irrespective of the denominator(provided the denominator is not zero), the value is 0;
when the denominator of a number is 0, irrespecive of the numerator (provided numerator is not zero), the value is infinity
We know that at -40 degrees, degree centigrade is equal to degree Fahrenheit.
Can you guess at what temperature degree Fahrenheit would be equal to Kelvin?
Consider a room, 10m x 10m x 10m
A spider starting from one vertex, has to reach
the diagonally opposite vertex....
What's the minimum distance the spider would have to crawl?
Yes, my friend....
I discovered this more than 15 years back,
but very recently, I wrote a proof for this
The proof is on my website,
in the bottom of 'the number 'e''
page....
that is another elegant property of the number e....
i shall tell you one more...
into how many pieces has a number to be divided in order to get the maximum
product?
when the parts are closes to 'e' !
for example, when 10 is divided into two equal parts, the product is 25,
when diivided into three equal parts, the products is roughly 37.03...
but when divided into four parts (each part is 2.5, closest to 'e'),
the product is the maximum,,that is, 39.0625
No, gentleman.....
1.01^1.01^1.01^1.01.......... is not infinity.
For any value less than approximately 1.444667861, the resultant is NOT infinity...
I have got a proof for this....If you want, I shall e-mail it to you....
Please visit my 'Lots of Jokes' page....
at
http://www.geocities.com/ganesh91569
Well, the answer is 14.
Each person would shake hands with thirteen others,
resulting in 14 x 13 = 182
but a handshake involves two people....
divide that by 2, you get 91...
the way to solve this problem is n(n-1) = 91 x 2 = 182
Solve the equation, you get n=14.
My 100 clean jokes remain with me, ha!
e, the natural logarithm base is approximately 2.7182818284......
1.444667861 (approximately) is the value of eth root of e.
This is a very special number for two reasons.
(1) The maximum value of xth root of x for any value of x is obtained when x=e. This value, i.e. xth root of x is approximately 1.444667861.
(2) We all know 1 raised to itself ad infinitum is 1.
2 raised to itself ad infinitum is divergent, that is infinity.
But, there's a value between 1 and 2 for which the number raised to itself ad infinitum is a finite value.
The maximum such value is 1.444667861 (approximately) such that the number raised to itself ad infinitum remains finite. And this finite value=e.
Please feel free to mail me if you have any doubts.
I love this site...its cool........
I shall visit the website everyday,
for the next 65 years.....
Take the challenge.....
The first one to answer this question gets 100 clean jokes in his or her mailbox, free.................
In a get-together, every person present shakes hand with every other person once......
If there are 91 handshakes in all, how many people attended the party?
Don't take more than 5 minutes for answering this.
Can anyone tell me what's special about this number?
It is indeed a very special number...I shall tell you later.....
The number is
approximately
1.444667861............ and it goes on and on after the decimal.......
Ganesh