University of TehranJournal of Algorithms and Computation2476-277652120200601A Computational Criterion for the Irrationality of Some Real Numbers971047647110.22059/jac.2020.76471ENPeyman NasehpourDepartment of Engineering Science, Golpayegan University of Technology, Golpayegan, Iran0000-0001-6625-364XJournal Article20200611In this paper, we compute the asymptotic average of the decimals of some real numbers. With the help of this computation, we prove that if a real number cannot be represented as a finite decimal and the asymptotic average of its decimals is zero, then it is irrational. We also show that the asymptotic average of the decimals of simply normal numbers is 9/2.https://jac.ut.ac.ir/article_76471_fc6f8c7822d83a00dd1f31cf02977993.pdf