Give the greatest possible error for each of the measurements.

Measuring distances in the real world frequently results in errors. To calibrate measuring​ instruments, the greatest possible error​ (GPE) allowable is established in order to maintain consistency from one instrument to another.

The greatest possible error​ (GPE) of a measurement is​ one-half the unit used.

For​ example, if the width of a piece of board is measured as 5​ cm, the actual width must be between 4.5 cm and 5.5 cm.​ Therefore, the GPE for this measurement is 0.5 cm.

In another​ example, if the width of a button is measured as 1.2​ cm, then the actual width is between 1.15 cm and 1.25​ cm, and so the GPE is 0.05 cm or 0.5 mm.