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Problems
Contests
National and Regional Contests
Russia Contests
Moscow Mathematical Olympiad
1956 Moscow Mathematical Olympiad
326
326
Part of
1956 Moscow Mathematical Olympiad
Problems
(1)
MMO 326 Moscow MO 1956 deleting after 2nd digit after decimal
Source:
8/19/2019
a) In the decimal expression of a positive number,
a
a
a
, all decimals beginning with the third after the decimal point, are deleted (i.e., we take an approximation of
a
a
a
with accuracy to
0.01
0.01
0.01
with deficiency). The number obtained is divided by
a
a
a
and the quotient is similarly approximated with the same accuracy by a number
b
b
b
. What numbers
b
b
b
can be thus obtained? Write all their possible values. b) same as (a) but with accuracy to
0.001
0.001
0.001
c) same as (a) but with accuracy to
0.0001
0.0001
0.0001
number theory
algebra