Recurring no.

is 2.222...........= 10*(0.2222........)

because 2.2222.... contains some infinite digits and 0.222.... contains another infinite digits also

so, some infinite value = another infinite value

4 Answers

39
Dr.House ·

you have 2 hands

i also have 2 hands

so u =me ?

21
Shubhodip ·

I don't understand what u tried to mean by giving examples of recurring decimals. (do u either?:P) But I guess your doubt is 1)if two numbers are infinitely large, are they equal? 2)if two numbers are infinitely small(say infinitesimal from nowon) , are they equal?

21
Shubhodip ·

The answer to the above question is sometimes yes, and sometimes no.(can you think of examples?)

21
Arnab Kundu ·

@ b555, let the no of digits after decimal in LHS be n and the no of digits in RHS be m........................
2.2........(n times)>2.2.....(m times) if and only if n>m
if n and and m are infinite and 2.2........(n times)=2.2.....(m times)
then n must be=m

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