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Place Value Exploration

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Place Value Exploration

Place Value Exploration

Place value chart with numbers and coins

🔢 Part 1: Identifying Place Values

1. What is the value of the digit '7' in each of these numbers?

a) 4,732 → The digit 7 is worth: ___________

b) 17,856 → The digit 7 is worth: ___________

c) 275.43 → The digit 7 is worth: ___________

d) 8,907 → The digit 7 is worth: ___________

2. Circle the correct place value for the underlined digit:

In the number 5,842.67, the digit 8 is in the:

Tens place

Hundreds place

Thousands place

Units place

3. Write the number that has:

• 6 in the thousands place

• 3 in the hundreds place

• 0 in the tens place

• 9 in the units place

• 2 in the tenths place

• 5 in the hundredths place

💰 Part 2: Money and Place Value

4. How would you pay exactly $47 using the fewest New Zealand notes and coins? List them below:
5. Sarah has $156.75 in her bank account. What is the value of each digit?

$1 5 6 . 7 5

1 is worth: $ ___________

5 is worth: $ ___________

6 is worth: $ ___________

7 is worth: $ ___________

5 is worth: $ ___________

6. Which combinations could you use to pay $83? Check all that apply:

One $50 note, one $20 note, one $10 note, three $1 coins

Four $20 notes, three $1 coins

Eight $10 notes, three $1 coins

One $100 note (with change required)

🎯 Part 3: Digit Shifting Challenge

7. When you multiply a number by 10, what happens to the digits?
8. Complete the pattern by multiplying by 10 each time:

3.45 → _______ → _______ → _______

9. What happens when you divide by 10?

8,760 ÷ 10 = _______

876 ÷ 10 = _______

87.6 ÷ 10 = _______

10. Circle the correct answer: If the digit 4 moves from the tens place to the hundreds place, the number:

Increases by 30

Increases by 360

Decreases by 40

Stays the same

🧮 Part 4: Problem Solving

11. Match each number with its expanded form:
1. 4,567.23
2. 12,045.6
3. 8,309.07
A. 8,000 + 300 + 9 + 0.07
B. 4,000 + 500 + 60 + 7 + 0.2 + 0.03
C. 10,000 + 2,000 + 40 + 5 + 0.6
12. A shop till contains $2,847.65. The manager wants to know how much money is in each denomination. Help by filling in the blanks:

There are _____ thousands of dollars

There are _____ hundreds of dollars

There are _____ tens of dollars

There are _____ units of dollars

There are _____ tenths of dollars

There are _____ hundredths of dollars

13. Explain how understanding place value helps you when working with money:

🎨 Part 5: Create Your Own

14. Draw a place value chart and show the number 3,456.78:
15. Create your own 5-digit number and write what each digit is worth:

My number: __ __ __ __ __

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