📊 Part 1: Understanding Rounding Impact

1. A carpenter measures a board as 2.456 metres. If rounded to 1 decimal place, what is the measurement?

Rounded measurement: _______ metres

2. A bank calculates interest as $127.834. Which rounding choice would benefit the customer most?

$127.83 (round down)

$127.84 (round up)

$128.00 (round to nearest dollar)

3. A medicine dosage is calculated as 4.67 mL. The syringe only measures to 0.1 mL. What are the possible consequences of rounding? (Check all that apply)

Patient receives too little medicine

Patient receives too much medicine

Treatment may be less effective

No consequences - rounding is always safe

4. An engineer designs a bridge component as 15.248 metres. If rounded to the nearest metre (15 m), what is the absolute error?

Absolute error = |exact value - rounded value| = _______ metres

🔢 Part 2: Calculating Errors

5. A scientific measurement shows 98.76 grams. When rounded to 99 grams, calculate:

a) Absolute error: _____________

b) Relative error: _____________

c) Percentage error: _____________

6. A fuel tank holds exactly 45.82 litres. The gauge shows 46 litres. Which error is larger?

Absolute error of 0.18 L

Percentage error of 0.39%

They represent the same error

7. Complete this statement: "Rounding errors become more significant when..."

💡 Part 3: Real-World Applications

8. Choose one industry and explain how rounding errors could impact safety or quality:

Industries: Aviation, Construction, Pharmacy, Banking, Food Manufacturing

Industry chosen: _______________

9. Suggest two strategies to minimise rounding errors in calculations:

Strategy 1:

Strategy 2:

Extension Challenge: A GPS system rounds coordinates to 3 decimal places. Research and explain why this level of precision matters for navigation accuracy.