🎯 Part 1: Conversion Challenge

1. Convert 0.0000567 to scientific notation:

2. Convert 4.2 × 10⁶ to decimal form:

3. Which number is written correctly in scientific notation?

23.4 × 10³

2.34 × 10⁴

0.234 × 10⁵

234 × 10²

4. Convert 890,000 to scientific notation:

5. Convert 7.8 × 10⁻⁴ to decimal form:

⚖️ Part 2: Compare & Calculate

6. Which number is larger: 5 × 10⁻³ or 3 × 10⁻²? Explain your reasoning:

7. Multiply: (3 × 10⁴) × (2 × 10²) = _______________

8. Divide: (8 × 10⁶) ÷ (2 × 10³) = _______________

9. Order these numbers from smallest to largest:

Numbers: 4.5 × 10⁻², 6.2 × 10⁻³, 1.8 × 10⁻¹, 3.4 × 10⁻²

Order: _______ < _______ < _______ < _______

10. The distance from Earth to the Sun is approximately 93,000,000 miles. Write this distance in scientific notation:

11. A red blood cell has a diameter of about 7.5 × 10⁻⁶ meters. Which situation would most likely use this type of measurement?

Measuring the height of a building

Medical research and microscopy

Calculating travel distances

Measuring cooking ingredients

12. Explain in 2-3 sentences why scientists use scientific notation when working with very large or very small numbers: