L2 Degrees of Precision
Completion requirements
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
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Precision of Ruler
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Uncertainty of Ruler
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Range of Measurement
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Tape Measure Used
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![]() Tape Measure #1 |
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![]() Tape Measure #2 |
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![]() Tape Measure #3 |
Approximate Length of Orange
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Precision of Ruler
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Uncertainty of Ruler
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Range of Measurement
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Tape Measure Used
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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.
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1 cm
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± 0.5 cm
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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.
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0.5 cm
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± 0.25 cm
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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.
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0.1 cm
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± 0.05 cm
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6.7 cm ± 0.05 cm
The range of measurement is 6.65 cm to 6.75 cm. |
![]() Tape Measure #3 |