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Scientific Notation Conversions

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Scientific Notation Conversions

Scientific calculator and mathematical formulas

📊 Part 1: Converting to Scientific Notation

Instructions: Convert each number to scientific notation. Remember: scientific notation is written as a × 10^n where 1 ≤ a < 10.

1. 4,500,000 = ________________
2. 0.00032 = ________________
3. 750,000,000 = ________________
4. 0.0000067 = ________________
5. 93,000,000 = ________________

🔢 Part 2: Converting from Scientific Notation

Instructions: Convert each number from scientific notation to standard form.

6. 3.2 × 10^5 = ________________
7. 1.5 × 10^8 = ________________
8. 4.7 × 10^-4 = ________________
9. 2.1 × 10^-7 = ________________
10. 8.9 × 10^3 = ________________

🌍 Part 3: Real-World Applications

11. The distance from Earth to the Sun is approximately 93,000,000 miles. Which scientific notation form correctly represents this distance?

9.3 × 10^6 miles

9.3 × 10^7 miles

93 × 10^6 miles

0.93 × 10^8 miles

12. A virus measures approximately 1 × 10^-7 meters in diameter. Write this measurement in standard form and explain why scientists would prefer to use scientific notation for this measurement.

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