The greatest possible error for a measurement depends on the precision of the measuring instrument used. If you are using a standard measuring cup, the error is often taken to be half of the smallest division on the measuring instrument.
For example, if we assume the smallest division on a measuring cup is 1 cup, then the greatest possible error can be considered to be ±0.5 cups.
Thus, for a measurement of 2 cups, the greatest possible error would be:
- Lower bound: \(2 - 0.5 = 1.5\) cups
- Upper bound: \(2 + 0.5 = 2.5\) cups
Therefore, the measurement of 2 cups could realistically be anywhere between 1.5 cups and 2.5 cups, with the greatest possible error being ±0.5 cups.