Question

If the number x=0.00411522633744855... is written in the standard form as p/q, then show that one of the factors of q-p is 11.

Answer 1

@ikram002p

Answer 2

hello @Seratul ..

Answer 3

...

Answer 4

@vanesaretana can you help me please?

Answer 5

Yes :)

Answer 6

@jango_IN_DTOWN whats the ... options

Answer 7

we have to prove that q-p is 11

Answer 8

@johnweldon1993

Answer 9

@sshayer

Answer 10

x*1, 00,00,00,00,00,00,000=00,41,15,22,63,37,44,8.55... (1)
multiply by 10
x*10,00,00,00,00,00,00,000=41,15,22,63,37,44,85.5... (2)
subtract (1) from (2)
x(10,00,00,00,00,00,00,000-1,00,00,00,00,00,00,000)=?
then find x

Answer 11

@sshayer how can we find x. And the method you are saying is used when we know when the digits will repeat, so that the parts after the decimal donot occur after the process . But in this case I dont know how to use it

Answer 12

from the question it appears 5 is repeating,i may be wrong.
But i think so.

Answer 13

we cannot make the decimal part zero by the method you are saying.

Answer 14

if it is repeating then decimal part will become zero.

Answer 15

0.00 411 522 633 744 855
if it continues in that pattern, then 966 are the next digits
then (maybe??) 10 77 11 88 1299 131010

Answer 16

@phi or may be 13110 , if we consider that 11,22,33 is increasing by 11

Answer 17

@imqwerty

Answer 18

hmm is that number even rational

Answer 19

I don't have any idea...

Answer 20

Yeah it is rational
Hint to get solution-
p/q = 0.00411522633... 1st quation
1000p/q=4.11522633... 2nd equation

2nd equation - 1st equation

1000p/q-p/q =4.11522633.. - 0.00411522..
999p/q=4.111111111111...

Answer 21

great.... :) thank you... :) @imqwerty

Answer 22

np =)