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Place Value Powers Practice

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Place Value Powers Practice worksheet preview

Place Value Powers Practice

Place value chart with powers of 10

🔢 Part 1: Understanding Powers of 10

1. What happens to the digits when you multiply 47 by 100?

The digits shift 1 place to the left

The digits shift 2 places to the left

The digits shift 2 places to the right

The digits stay in the same place

2. Which of these equals 350 ÷ 10?

3.5

35

3500

0.35

3. Select all the correct statements about multiplying by powers of 10:

Multiplying by 10 shifts digits one place left

Multiplying by 1000 makes the number 1000 times bigger

Multiplying by 100 adds two zeros to any number

The place value of each digit increases when multiplying by powers of 10

4. A rugby field is 100 metres long. How many centimetres is this?

1,000 cm

10,000 cm

100,000 cm

1,000,000 cm

✏️ Part 2: Calculate and Explain

5. Calculate these multiplications:

a) 23 × 10 = __________

b) 45 × 100 = __________

c) 7 × 1000 = __________

d) 2.5 × 100 = __________

6. Calculate these divisions:

a) 4600 ÷ 10 = __________

b) 8500 ÷ 100 = __________

c) 12000 ÷ 1000 = __________

d) 750 ÷ 100 = __________

7. Explain what happens to the digits when you divide a number by 1000:
8. A kilo of kumara costs $4.50. How much would 100 grams cost? Show your working:

🌟 Part 3: Problem Solving

9. The distance from Te Kura o Te Whanau a Apanui to Auckland is approximately 350 kilometres. Convert this to metres:

350 km = __________ metres

Explain your method: _________________________________________________

10. A recipe calls for 2.5 litres of water. If you need to make 10 times the recipe for a school hangi, how many litres of water will you need?
11. Look at this pattern: 5, 50, 500, 5000

a) What is the rule for this pattern? _________________________________

b) What would be the next two numbers? __________ and __________

c) If you continued this pattern backwards, what number would come before 5? __________

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