The greatest possible error (or uncertainty) in a measurement generally depends on the precision of the measuring instrument used. In the case of measuring the width of a doorway as 1.20 m, it's common to assume that the last digit is uncertain.
For a measurement like 1.20 m, it typically indicates that the measurement is precise to the nearest centimeter (0.01 m). Therefore, the greatest possible error in this case could be ±0.01 m.
Given the options:
- 0.005 m
- 0.05 m
- 0.001 m
- 0.01 m
The correct answer would be 0.01 m.