Powers of Ten and Scientific Notation
Name: _________________________
Date: _________________________
Part A: Writing Powers of Ten
Write each number as a power of ten.
1. 100 = ______________
2. 1,000 = ______________
3. 10,000 = ______________
4. 1,000,000 = ______________
5. 0.1 = ______________
6. 0.01 = ______________
Part B: Evaluating Powers of Ten
Write each power of ten as a standard number.
7. 10³ = ______________
8. 10⁵ = ______________
9. 10⁻² = ______________
10. 10⁻⁴ = ______________
11. 10⁶ = ______________
12. 10⁻¹ = ______________
Part C: Writing in Scientific Notation
Express each number in scientific notation (a × 10ⁿ, where 1 ≤ a < 10).
13. 3,500 = ______________
14. 48,000 = ______________
15. 620,000 = ______________
16. 0.0072 = ______________
17. 0.000045 = ______________
18. 7,200,000 = ______________
Part D: Converting from Scientific Notation
Write each number in standard form.
19. 2.5 × 10⁴ = ______________
20. 6.8 × 10³ = ______________
21. 3.2 × 10⁻³ = ______________
22. 9.1 × 10⁵ = ______________
23. 4.7 × 10⁻² = ______________
24. 1.5 × 10⁶ = ______________
Part E: Challenge Questions
25. The distance from Earth to the Sun is approximately 150,000,000 km. Write this in scientific notation.
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26. A bacterium measures 5 × 10⁻⁶ metres. Write this as a standard number.
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