Unit B: Measurement


Degrees of Precision


In some situations, a high degree of precision is required. If windows are being replaced in a house, the window measurements must be precise to avoid drafts in the winter. If a picture is hung in the middle of a wall, there would be little impact if the picture is 0.5 cm too far to the left. The tool chosen to find a measurement is dependent on the degree of precision that is required for the task.

In most cases, the higher the degree of precision, the more expensive the measuring tool. If a high degree of precision is not needed, then spending the extra money for a precise tool is not necessary.

Each of the three tape measures below is marked with a different scale and has a different degree of precision. Since the precision is not stated on each ruler, it is determined by the smallest increment on the scale of the measuring ruler.

Tape Measure #1 has 1 cm increments or divisions.




Tape Measure #2 has 0.5 cm increments.




Tape Measure #3 has 0.1 cm increments.




Tape Measure #1 is the least precise, as it has the largest increments. Tape Measure #3 is the most precise, as it shows the smallest increments.

For each tape measure, state

  • the approximate length of the orange
  • the precision
  • the uncertainty
  • the range of the measurements
Approximate Length of Orange
Precision of Ruler
Uncertainty of Ruler
Range of Measurement
Tape Measure Used



Tape Measure #1



Tape Measure #2



Tape Measure #3


Approximate Length of Orange
Precision of Ruler
Uncertainty of Ruler
Range of Measurement
Tape Measure Used
The orange has a length of approximately 7 cm since the measurement is closer to 7 cm than it is to 6 cm or 8 cm.
1 cm
± 0.5 cm
7 cm ± 0.5 cm

The range of measurement is 6.5 cm to 7.5 cm.



Tape Measure #1
The orange has a length of approximately 6.5 cm.
0.5 cm
± 0.25 cm
6.5 cm ± 0.25 cm

The range of measurement is 6.25 cm to 6.75 cm.



Tape Measure #2
The orange has a length of approximately 6.7 cm.
0.1 cm
± 0.05 cm
6.7 cm ± 0.05 cm

The range of measurement is 6.65 cm to 6.75 cm.



Tape Measure #3