Question

I need help with #4 a-d

Answer 1

a repeating decimal is placed over 9's instead of 0's. for example: 0.23 =
`(23)/(100)`, but 0.232323... =
`(23)/(99)`

a) x = 0.121212

b) 100(x) = 100(0.121212)

100x = 12.1212

c) 100x = 12.1212

- x = 0.1212

99x = 12

x =
`(12)/(99)`

d) -2
`(12)/(99)` = -2
`(4)/(33)` when simplified

The number is rational becase it has a repeating decimal