MathematicsFreePrintable

Multiplying by Powers of 10

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Multiplying by Powers of 10 worksheet preview

Multiplying by Powers of 10

Powers of 10 illustration

🎯 Learning Goals & Vocabulary

I can statements:

• I can multiply whole numbers and decimals by powers of 10

• I can identify patterns when multiplying by 10, 100, and 1,000

• I can use exponents to represent powers of 10

Key Vocabulary:

Factors: Numbers being multiplied together

Product: The result of multiplication

Multiple: The product of a number and any whole number

Power: A number expressed using an exponent (like 10³)

Exponent: The small number that tells how many times to multiply the base

Pattern Examples:

5 × 10¹ = 5 × 10 = 50

5 × 10² = 5 × 100 = 500

5 × 10³ = 5 × 1,000 = 5,000

📚 Practice Problems

1. What is the product of 7 × 10²?

72

700

7,000

70

2. Which expression equals 4,000?

4 × 10¹

4 × 10²

4 × 10³

4 × 10⁴

3. Complete the pattern: 6 × 10 = 60, 6 × 100 = 600, 6 × 1,000 = _______

Answer: _____________

4. Find the products:

a) 8 × 10¹ = _______

b) 8 × 10² = _______

c) 8 × 10³ = _______

5. What pattern do you notice when multiplying by powers of 10?
6. Solve these decimal problems:

a) 2.5 × 10 = _______

b) 2.5 × 100 = _______

c) 0.3 × 1,000 = _______

🌟 Challenge & Extension

7. For Advanced Learners: If 3 × 10ⁿ = 30,000, what is the value of n?
8. Real-World Connection: A factory produces 25 toys per hour. How many toys would they produce in 10 hours? 100 hours? Show your work using powers of 10.
9. Create Your Own: Write a multiplication problem using a power of 10 and solve it.

Success Criteria:

✓ I can identify the pattern when multiplying by 10, 100, 1,000

✓ I can use exponents to write powers of 10

✓ I can solve multiplication problems with whole numbers and decimals

✓ I can explain the relationship between factors and products

About This Worksheet

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