Bilangan rasional a.0,99999 b.2,54545454

Posted on

Bilangan rasional a.0,99999 b.2,54545454

Jawaban Terkonfirmasi

Bab Bilangan Rasional
Matematika SMP Kelas VII

a] 0,99999… = a
   0,9999… x 10 = 9,9999
   10a – a = 9,9999…. – 0,99999
    9a = 9
     a = 9/9
     a = 1

    0,99999 = 1

b] 2,5454… = 2 + 0,545454…
     0,545454…. = a
     0,545454 x 100 = 54,545454….
     100a – a = 54,54545 – 0,545454
      99a = 54
      a = 54/99
      a = 6/11

    2,545454…. = 2 + 6/11
                        = 2  6/11