This is just an artifact of representing it in base-10. In base-3 0.0125 has the same value but would have a non-terminating representation of 0.00010001... I

This is just an artifact of representing it in base-10. In base-3 0.0125 has the same value but would have a non-terminating representation of 0.00010001... I will grant that in base-π, π is 10, however.