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Decimal Division Mastery

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Decimal Division Mastery worksheet preview

Decimal Division Mastery

Calculator and decimal numbers illustration

📚 Worked Example: Dividing by Decimals

Method: To divide by a decimal, multiply both numbers by 10, 100, or 1000 to make the divisor a whole number.

Example: 8.4 ÷ 0.3

Step 1: Multiply both by 10 → 84 ÷ 3

Step 2: Divide → 84 ÷ 3 = 28

Step 3: Therefore, 8.4 ÷ 0.3 = 28

🔢 Part A: Division by Powers of 10

1. Calculate these divisions:

a) 45.6 ÷ 10 = _______

b) 123.8 ÷ 100 = _______

c) 2567.4 ÷ 1000 = _______

2. Complete the pattern:

72.5 ÷ 10 = _______

72.5 ÷ 100 = _______

72.5 ÷ 1000 = _______

✏️ Part B: Dividing Decimals by Whole Numbers

3. Calculate. Show your working:

a) 15.6 ÷ 4

b) 28.35 ÷ 5

4. Find the quotient:

a) 42.84 ÷ 6 = _______

b) 91.2 ÷ 8 = _______

🎯 Part C: Dividing by Decimals

5. Use the worked example method. Show all steps:

a) 12.6 ÷ 0.2

b) 45.5 ÷ 0.05

6. Calculate:

a) 18.9 ÷ 0.3 = _______

b) 24.8 ÷ 0.04 = _______

💰 Part D: Word Problems

7. A packet of biscuits costs $4.80 and contains 0.6 kg. What is the cost per kilogram?
8. Sarah runs 15.75 kilometres in 1.25 hours. What is her average speed in kilometres per hour?
9. A roll of fabric is 28.8 metres long. If each dress requires 1.2 metres, how many dresses can be made?

🌟 Part E: Challenge Questions

10. Estimate first, then calculate 47.6 ÷ 0.8:

Estimate: _______

Actual answer:

11. Check this calculation by working backwards: 156 ÷ 0.25 = 624

Check: 624 × 0.25 = _______

Is the original answer correct? _______

12. Challenge: If 84 ÷ 1.4 = 60, find 8.4 ÷ 0.14 without calculating from scratch.

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