Is it possible to have a number that extends to the left of the decimal point in mirror image of an irrational number? Such as <...95141.30000...>, to write pi as a mirror image.
Can we have a mirror image of an irrational decimal?
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irrational-numbers
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3Isn't this a rather infinite "number"? It's larger than $1$, $10$, $100$, $1000$, etc. – 2011-06-23
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0I don't know how to think of this kind of expression. Does it make any sense to write a number with an infinite expansion of digits on the left of the decimal? I first thought of this in trying to get the reciprocal to an irrational (which can be approximated by getting the reciprocal of a nearby rational number). But specify the irrational expansion as a ratio of (say) 3.14159.../1.000000..., and then flip numerator-denominator. What ARE those values, as counting numbers, in the num/denom places? – 2011-06-23
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310-adic numbers... – 2011-06-23
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910-adic numbers, OK, but **Emphasis** not real numbers – 2011-06-23
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1In case the OP (or any other reader) is interested and not aware of the construction, 10-adic numbers (as mentioned above by yoyo and GEdgar) are explained in [the Introduction section of this Wikipedia entry](http://en.wikipedia.org/wiki/P-adic_number#Introduction). – 2011-06-25