Powers of Ten
Name: _________________________
Date: _________________________
Part A: Complete the Pattern
Fill in the missing values in the table below:
| Power Form | Expanded Form | Standard Form |
|---|---|---|
| 10¹ | 10 | 10 |
| 10² | 10 × 10 | ___________ |
| 10³ | ___________ | 1,000 |
| ___________ | 10 × 10 × 10 × 10 | 10,000 |
| 10⁵ | ___________ | ___________ |
| ___________ | 10 × 10 × 10 × 10 × 10 × 10 | ___________ |
Part B: Write in Power Form
Write each number using powers of 10:
1. 1,000 = ___________
2. 100,000 = ___________
3. 10 = ___________
4. 1,000,000 = ___________
5. 100 = ___________
6. 10,000,000 = ___________
Part C: Write in Standard Form
Calculate the value of each power of 10:
1. 10³ = ___________
2. 10⁷ = ___________
3. 10⁵ = ___________
4. 10² = ___________
5. 10⁶ = ___________
6. 10⁴ = ___________
Part D: Challenge Questions
1. How many zeros does 10⁸ have? ___________
2. What pattern do you notice between the exponent (power) and the number of zeros?
_________________________________________________________________
3. If you multiply 10³ × 10², what is the answer in power form? ___________