Which is a more serious error an error of 1 cm in 1m or an error of 1mm in 1 cm?

To determine the seriousness of the errors, we can compare their relative sizes. An error of 1 cm in 1 m represents a 1% error (1 cm is 1% of 100 cm), while an error of 1 mm in 1 cm represents a 10% error (1 mm is 10% of 10 mm). Therefore, the error of 1 mm in 1 cm is more serious because it constitutes a larger percentage of the total measurement.