Question

what does this question mean

Answer 1

Which question?

Answer 2

I have no clue, this is higher than Algebra, so I really can't help :( @StudyGurl14 might know

Answer 3

np

Answer 4

@ikram002p @ganeshie8

Answer 5

@SolomonZelman

Answer 6

no clue help

Answer 7

Lets see, irrational number is a number that cannot be represented as `terminating` or `repeating` decimals.

Answer 8

yes

Answer 9

You're given that, after decimal point, the positions : {1, 10, 100, 1000, ... } are all 0's

Answer 10

also only those positions are 0's, other positions can be any of {1,2,3,4,5,6,7,8,9}

Answer 11

thats the given information, is that clear ?

Answer 12

wait wait that itself is not very clear

Answer 13

example number : 12. `0`123456789 `0`1212121..

the next 0 occurs at 100th position

Answer 14

i didn't get this part
numbered 10^n and only in these places , is irrational

Answer 15

you need to prove that such a number is irrational

Answer 16

oh does this mean
the first zero is at 10
the second zero is at 100

Answer 17

the next at 10^3 ?

Answer 18

exactly! start with n=0 :

10^n numbered positions are : {1, 10, 100, 1000, ... }

Answer 19

got it , how do we prove that

Answer 20

not sure yet.. will try after dinner...

Answer 21

@ikram002p

Answer 22

thank you

Answer 23

Well there was a proof on it available on internet which i understand now as i got what the problem is trying to say
Proof by contracdiction
http://www.meritnation.com/ask-answer/question/prove-that-any-number-with-zeroes-standing-in-all-decimal-p/math/5878977

Answer 24

Earlier i didn't even get the language of the problem , now i got it

Answer 25

if it makes sense its fine, but the proof in that link doesn't look thorough
simply saying "irrationality is self evident" pissed me off..

Answer 26

there must be a better proof ,

Answer 27

is that link only for indians xD

Answer 28

is it ?

Answer 29

well it is a indian website

Answer 30

it does int open for me cu of IP
it seems hmm

Answer 31

It says

in number theory, we find only reasons behind the theories and most most of reasons are easy to understand theoretically.
Assume be an integer,so is to left of decimal point . these are only these decimal places are zero.
therefore, All digits to right of decimal point are not zero and is irrational is evident.

Answer 32

hmm in the question it says any NUMBER
and that does not seems to be a proof lol