Measurement Error Introduction Worksheet

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Measurement tools and construction illustration

📚 Part 1: Understanding Measurement Errors

1. Which formula correctly shows absolute error?

Absolute error = measured value + true value

Absolute error = |measured value - true value|

Absolute error = true value ÷ measured value

Absolute error = measured value × true value

2. A steel beam should be 5.00 metres long. It measures 5.03 metres. What is the absolute error?

0.03 metres

5.03 metres

5.00 metres

10.03 metres

3. Which situations would measurement errors be most dangerous? (Check all that apply)

Building a bridge

Manufacturing car brake parts

Measuring ingredients for cooking

Constructing an aeroplane wing

4. The percentage error formula is:

Percentage error = (_____________ ÷ _____________) × 100%

🔢 Part 2: Calculating Errors

5. A manufactured bolt should be 8.0 cm long. It measures 8.2 cm.

a) Absolute error = _______ cm

b) Percentage error = _______ %

6. A concrete slab should be 12.5 metres wide but measures 12.3 metres.

a) Calculate the absolute error:

b) Calculate the percentage error:

7. Explain why a 2% error in measuring medicine doses could be more serious than a 2% error in measuring a garden fence length.

🏗️ Part 3: Real-World Applications

8. A construction worker measures a wall as 15.8 metres when it should be 16.0 metres.

a) What problems could this error cause? List two:

1. _________________________________________________

2. _________________________________________________

b) Calculate the percentage error:

9. Extension: If a measuring tape can only measure to the nearest 0.1 metres, what is the maximum possible absolute error when measuring any length?

10. Describe a situation at home where precise measurement is important and explain what could go wrong with measurement errors.

Measurement Error Introduction Worksheet

Measurement Error Introduction Worksheet

📚 Part 1: Understanding Measurement Errors

🔢 Part 2: Calculating Errors

🏗️ Part 3: Real-World Applications

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