Place Value Powers Worksheet

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Place value chart with numbers and powers of 10

🔢 Part 1: Multiplying and Dividing by 10

1. Calculate these multiplication problems:

a) 347 × 10 = ___________

b) 82 × 10 = ___________

c) 5,094 × 10 = ___________

2. Calculate these division problems:

a) 6,730 ÷ 10 = ___________

b) 450 ÷ 10 = ___________

c) 91,200 ÷ 10 = ___________

3. What pattern do you notice when multiplying by 10?

Digits move one place to the right

Digits move one place to the left

Digits stay in the same place

A zero is added to the beginning

4. What happens when dividing by 10?

Digits move one place to the left

Digits move one place to the right

The last digit disappears

Nothing changes

📊 Part 2: Place Value Charts and Powers of 10

5. Complete this place value chart for the number 24,683:

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

Example: 456 = 4 × 10² + 5 × 10¹ + 6 × 10⁰

a) 3,729 = _____ × 10³ + _____ × 10² + _____ × 10¹ + _____ × 10⁰

b) 58,104 = _____ × 10⁴ + _____ × 10³ + _____ × 10² + _____ × 10¹ + _____ × 10⁰

7. Show what happens to the number 2,850 when multiplied by 10. Draw or write the digit movements:

8. Show what happens to the number 47,300 when divided by 10. Draw or write the digit movements:

✏️ Part 3: Explanations and Mathematical Language

9. Explain in your own words what happens to the digit 7 in the number 1,756 when you multiply by 10. Use mathematical language in your explanation.

10. Sarah says "When I multiply 340 by 10, I just add a zero to the end." Is Sarah correct? Explain your thinking using place value language.

11. Complete this statement: "When I divide a number by 10, each digit's place value power _____________ by 1."

increases

decreases

stays the same

doubles

12. Challenge: If 456 × 10 = 4,560, what would 456 × 100 equal? Explain your reasoning using powers of 10.

Place Value Powers Worksheet

Place Value Powers Worksheet

🔢 Part 1: Multiplying and Dividing by 10

📊 Part 2: Place Value Charts and Powers of 10

✏️ Part 3: Explanations and Mathematical Language

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