Question

help me plz If you car don't right hcudidjdndbsbh plz you don't know you don't answer​

Answer 1

Answer:

(i) x = 6/9

(ii) x = 43/90

(iii) x = 1/999

Step-by-step explanation:

(i) let x = 0.666...

      => 10x = 6.666...

  so, 10x-x = 6.666..

                  - 0.666...

                 _____________

     => 9x   = 6

     => x = 6/9

(ii)  let x = 0.4777...

      => 100x = 47.777...

      => 10x   = 4.777...

  so, 100x-10x = 47.777...

                          - 4.777...

                 _____________

            => 90x   = 43

            => x   = 43/90

 

(iIi)  let x = 0.001001001...

      => 1000x = 1.001001001...

      =>         x = 0.001001001...

  so, 1000x-x = 1.001001001...

                       - 0.001001001...

                 _____________

            => 999x   = 1

            => x   = 1/999