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Introduction to Place Value

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Introduction to Place Value worksheet preview

Introduction to Place Value

Place value chart illustration

📊 Part 1: Understanding Place Value

1. What is the value of the underlined digit in each number?

a) 4,352 = ___________

b) 26,841 = ___________

c) 15.74 = ___________

d) 0.083 = ___________

2. Which digit is in the hundreds place?

In 5,729, the digit 7 is in the hundreds place

In 5,729, the digit 2 is in the hundreds place

In 5,729, the digit 9 is in the hundreds place

In 5,729, the digit 5 is in the hundreds place

3. Complete the place value chart for the number 8,463.29:

Thousands: ______ Hundreds: ______ Tens: ______ Ones: ______

Tenths: ______ Hundredths: ______

4. True or False? Circle your answer.

a) In 12.45, the 4 represents 4 tenths. TRUE / FALSE

b) In 3,506, the 5 represents 5 tens. TRUE / FALSE

c) In 0.037, the 3 represents 3 hundredths. TRUE / FALSE

✏️ Part 2: Expanded Form and Powers of Ten

5. Write these numbers in expanded form using powers of 10:

Example: 245 = 2×10² + 4×10¹ + 5×10⁰

a) 1,836 = ________________________________

b) 52.73 = ________________________________

6. What happens when we multiply by 10?

Complete the pattern:

4.7 × 10 = _______

4.7 × 100 = _______

4.7 × 1,000 = _______

7. Explain in your own words: Why does the digit 5 have different values in these numbers?

Numbers: 5,432 and 2,357 and 0.15

🧠 Part 3: Apply Your Knowledge

8. Sarah has $47.83 in her wallet. What is the value of each digit in dollars and cents?

4 = $_______

7 = $_______

8 = $_______

3 = $_______

9. Create your own 5-digit number with a decimal point. Then write it in expanded form:

My number: _______________

10. Challenge: If you move the decimal point in 123.45 two places to the right, what number do you get? Explain what happened to each digit's place value.

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