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Division by Powers Ten

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Division by Powers Ten worksheet preview
Division by Powers Ten

Division by Powers of Ten

Division by powers of ten illustration

🧮 Part 1: Understanding Place Value

1. Complete the pattern by filling in the missing numbers:

4500 ÷ 10 = _______

4500 ÷ 100 = _______

4500 ÷ 1000 = _______

2. What happens to the digits when we divide by 10?

They move one place to the left

They move one place to the right

They stay in the same position

They disappear

3. When dividing by 100, the digits move _______ places to the _______.

💰 Part 2: Real-World Money Problems

4. A school fundraiser collected $2400. If this amount is divided equally among 100 students, how much does each student receive?
5. A shop has $5000 worth of stock. If they divide this into 10 equal sections for different departments, what is the value of each section?
6. Circle the correct answer: $8700 ÷ 1000 =

$87

$8.70

$0.87

$870

📏 Part 3: Measurement Conversions

7. A running track is 4000 metres long. Convert this to kilometres by dividing by 1000:

4000 m ÷ 1000 = _______ km

8. A recipe calls for 3500 grams of flour. How many kilograms is this?
9. Match each measurement with its correct conversion:
1. 6000 m ÷ 1000
2. 850 cm ÷ 100
3. 7200 g ÷ 1000
A. 7.2 kg
B. 6 km
C. 8.5 m

🔢 Part 4: Estimation and Mental Maths

10. Before calculating, estimate each answer. Then solve and check if your estimate was close:

a) 732 ÷ 100

Estimate: _______ Actual answer: _______

b) 5640 ÷ 10

Estimate: _______ Actual answer: _______

c) 9500 ÷ 1000

Estimate: _______ Actual answer: _______

11. Which of these strategies help when dividing by powers of ten? (Check all that apply)

Using place value charts

Moving decimal points

Estimating first

Memorising times tables

Understanding that dividing by 10 is the same as multiplying by 0.1

🧠 Part 5: Problem Solving Challenge

12. A factory produces 8400 bottles per day. If these bottles are packed into boxes of 10, how many boxes are filled each day? If the boxes are then packed into crates of 100 boxes each, how many crates are needed?
13. Create your own real-world problem that involves dividing by 10, 100, or 1000. Write the problem and solve it:
14. Explain in your own words why dividing by 100 moves digits two places to the right:

🎯 Part 6: Quick Check

15. Fill in the missing numbers:

_______ ÷ 10 = 45.6

3200 ÷ _______ = 32

_______ ÷ 1000 = 0.75

16. Write one real-world example where you might need to divide by 10, 100, or 1000:

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