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Place Value Powers Practice

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Place Value Powers Practice worksheet preview
Place Value Powers Practice

Place Value Powers Practice

Place value chart with decimal places

🔢 Part 1: Understanding Place Value Shifts

1. When we multiply by 10, digits move _______ place(s) to the _______.
2. When we divide by 100, digits move _______ place(s) to the _______.
3. Circle the correct answer: What happens when we multiply 4.56 by 1000?

Digits move 3 places left

Digits move 3 places right

Digits move 1 place left

Nothing happens

🧮 Part 2: Multiplication by Powers of 10

4. Calculate these multiplications:

a) 3.45 × 10 = _________

b) 2.7 × 100 = _________

c) 0.064 × 1000 = _________

d) 15.6 × 10 = _________

5. Show your working for 0.008 × 1000 using a place value chart:

➗ Part 3: Division by Powers of 10

6. Calculate these divisions:

a) 456.3 ÷ 100 = _________

b) 89.4 ÷ 10 = _________

c) 5670 ÷ 1000 = _________

d) 234.5 ÷ 100 = _________

7. Explain in your own words what happens to the decimal point when dividing by 1000:

💰 Part 4: Real-World Problems

8. If one chocolate bar costs $1.25, how much do 10 bars cost?

Answer: $ _________

9. A recipe calls for 2.4 grams of salt. If you want to make 100 times the recipe, how much salt do you need?

Answer: _________ grams

10. A piece of fabric is 3450 centimetres long. How many metres is this? (Hint: 100 cm = 1 m)

Answer: _________ metres

🎯 Part 5: Quick Check Challenge

11. Match each calculation with its correct answer:
1. 0.45 × 100
2. 67.8 ÷ 10
3. 0.009 × 1000
4. 234 ÷ 100
A. 6.78
B. 45
C. 9
D. 2.34
12. Check all the statements that are TRUE:

Multiplying by 10 makes numbers bigger

Dividing by 100 moves digits 2 places right

0.5 × 1000 = 500

45.6 ÷ 10 = 4.56

13. Create your own place value problem and solve it:

Write a multiplication or division problem using powers of 10:

Show your solution:

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