i was given the example of n= .252525...
100n = 25.252525...
10n - n =2/9
please help
2006-09-27 13:03:41 · 4 answers · asked by bigguyredhair596 1 in Education & Reference ➔ Homework Help
n=.12525....
1000n=125.25....
10n=1.25...
1000n-10n=124
990n=124
n=124/990=62/495
2006-09-27 13:11:34 · answer #1 · answered by Mamad 3 · 0⤊ 0⤋
say, .1252525... = n
n = .125252525 = .1 + .02525252525....
10n = 1 + .252525....
say, .252525 = m
so, 10n = 1 + m
now, m = .252525...
100m = 25.252525...
100m = 25 + .252525...
100m = 25 + m [as .252525 = m, we've assumed previously]
99m = 25
m = 25 / 99
now, 10n = 1 + m
10n = 1+ 25 / 99
10n = 124 / 99
n = 124 / 990
n = 62 / 495
so, answer: 62 / 495
2006-09-27 13:16:54 · answer #2 · answered by Firefly 2 · 1⤊ 0⤋
I really don't know
2006-09-27 13:05:13 · answer #3 · answered by Anonymous · 0⤊ 1⤋
.125252525/1.00000000
2006-09-27 13:09:28 · answer #4 · answered by enord 5 · 0⤊ 1⤋