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Dividing Decimals Worksheet

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Dividing Decimals Worksheet

🎯 WALT: We Are Learning To

Today we are learning to:

  • Divide decimal numbers accurately and efficiently
  • Use place value understanding to support decimal division
  • Apply decimal division to solve practical problems
  • Use estimation to check the reasonableness of answers

📊 Part 1: Dividing Decimals by Whole Numbers

Remember: Keep the decimal point in the same position as the dividend!

1. Calculate: 8.4 ÷ 2 = _______
2. Calculate: 15.6 ÷ 4 = _______
3. Calculate: 27.9 ÷ 3 = _______
4. Scaffolded Support: Complete the steps for 12.8 ÷ 4

Step 1: Estimate first - 12.8 is close to _____, so 12.8 ÷ 4 ≈ _____

Step 2: 12 ÷ 4 = _____

Step 3: 0.8 ÷ 4 = _____

Step 4: Therefore, 12.8 ÷ 4 = _____

🔢 Part 2: Dividing Decimals by Decimals

Strategy: Move the decimal point in both numbers to make the divisor a whole number!

5. Calculate: 6.4 ÷ 0.8 = _______

Rewrite as: 64 ÷ 8 = _______

6. Calculate: 9.6 ÷ 1.2 = _______
7. Extension Challenge: Calculate: 15.75 ÷ 2.5 = _______

🌟 Part 3: Real-Life Applications

8. Sarah bought 2.4 kg of apples for $7.20. How much did she pay per kilogram?

Calculation: _______ ÷ _______ = _______

Answer: $_______ per kg

9. A piece of rope 15.6 metres long is cut into pieces of 1.3 metres each. How many pieces can be made?

Calculation: _______ ÷ _______ = _______

Answer: _______ pieces

10. Extension Problem: A car travels 156.8 km using 9.8 litres of petrol. Calculate the fuel efficiency in km per litre. Round your answer to 1 decimal place.

Answer: _______ km per litre

✅ Checking Your Work

11. For each answer below, use estimation to check if it's reasonable. Circle Reasonable or Unreasonable:

a) 18.6 ÷ 3 = 6.2

Reasonable

Unreasonable

b) 24.8 ÷ 4 = 0.62

Reasonable

Unreasonable

c) 7.2 ÷ 0.9 = 8

Reasonable

Unreasonable

12. Reflection: Explain one strategy you used today to help you divide decimals successfully:

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