Question

Express the repeating decimal .99999... as a fraction in lowest terms

Answer 1

1

Answer 2

should be

Answer 3

Here is a useful technique that you can use in recurring decimal number
let x=0.99999.....
then 10x=9.9999...
next subtract the second from the first that is 10x-x=9.9999....-0.9999....
you get 9x=9===>x=1
however you need to recognize the meaning of this!
does 0.9999 actually equal 1?

Answer 4

from the very beginning you can say 0.9999 is so close to 1

Answer 5

it is a mind bugling hehehe

Answer 6

there are several proves that show 0.999....=1

Answer 7

here is something
start with 1/9=0.1111.....
then multiply both side by 9
so 9*(1/9)=9*0.1111....
1=0.9999