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Decimal Long Division

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Decimal Long Division

Decimal Long Division

Calculator and decimal numbers illustration

📊 Part 1: Decimal Division by Whole Numbers

1. Calculate 12.48 ÷ 4 using long division. Show all your working.
2. Find 7.56 ÷ 3. Remember to place the decimal point correctly in your answer.
3. Work out 15.75 ÷ 5. Use estimation first to check if your answer is reasonable.

My estimate: ___________

My final answer: ___________

🔢 Part 2: Decimal Division by Decimals

4. Calculate 1.2 ÷ 0.3. First, convert to make the divisor a whole number.

Step 1: Multiply both numbers by _____ to make 0.3 into a whole number.

This gives us: _______ ÷ _______

5. Find 4.8 ÷ 1.2 using long division.
6. Work out 6.3 ÷ 0.7. Show your method clearly.

💰 Part 3: Real-World Word Problems

7. Sarah has $45.60 to share equally among 8 friends. How much money will each friend receive?

Answer: Each friend will receive $__________

8. A piece of fabric is 3.6 metres long. It needs to be cut into pieces that are each 0.3 metres long. How many pieces can be made?

Answer: __________ pieces can be made.

9. A recipe calls for 1.5 litres of milk to be divided equally into 6 portions. How much milk will be in each portion?

Answer: Each portion will contain __________ litres of milk.

✓ Part 4: Checking Your Work

10. For each division below, first estimate the answer, then calculate using long division, and finally check using multiplication.

a) 8.4 ÷ 2.1

Estimate: __________

Answer: __________

Check (multiply your answer by 2.1): __________

b) 9.36 ÷ 1.2

Estimate: __________

Answer: __________

Check (multiply your answer by 1.2): __________

🤔 Part 5: Problem Solving

11. Circle the correct answer for 2.8 ÷ 0.4:

0.7

7

70

0.07

12. Which of these problems would give an answer greater than 10? Check all that apply:

24.6 ÷ 2

8.4 ÷ 0.7

15.5 ÷ 3.1

7.2 ÷ 0.6

13. Explain in your own words why we multiply both the dividend and divisor by the same power of 10 when dividing by a decimal.

🎯 Part 6: Challenge Questions

14. A car travels 156.8 kilometres and uses 9.2 litres of petrol. How many kilometres does the car travel per litre of petrol? Round your answer to 1 decimal place.

Answer: __________ kilometres per litre

15. Create your own word problem that involves dividing a decimal by a decimal. Then solve it.

My word problem:

My solution:

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