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Bundeswettbewerb Mathematik 1981 Problem 2.1

Source: Bundeswettbewerb Mathematik 1981 Round 2

September 22, 2022
divisordecimal representationalgebra

Problem Statement

Max divided a natural number pp by a natural number q100q \leq 100. In the decimal representation of the quotient he calculated, the sequence of digits 19821982 occurs somewhere after the decimal point. Show that Max made a computational mistake.