What is the decimal expansion of the difference of two irrational numbers x and y in term of the decimal expansions of x and y.

Jonas Huff

Jonas Huff

Answered question

2022-11-04

What is the decimal expansion of the difference of two irrational numbers x and y in term of the decimal expansions of x and y.

Answer & Explanation

Milton Gilmore

Milton Gilmore

Beginner2022-11-05Added 20 answers

The subtlety here is that each digit may depend on an unbounded number of other digits.
0.247747474747747474 0.147747474747747474
The digits provided aren't enough to tell if the difference is 0.1000 or 0.0999 It depends on which term turns out to be larger, and you may have to seek arbitrarily fair to find that out.

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