📊 Part 1: Multiple Choice Operations

1. What is (3.2 × 10⁵) + (1.8 × 10⁵)?

5.0 × 10⁵

5.0 × 10¹⁰

4.0 × 10⁵

3.2 × 10⁷

2. What is (4.5 × 10³) × (2.0 × 10⁴)?

9.0 × 10⁷

8.5 × 10⁷

9.0 × 10¹²

6.5 × 10⁷

3. What is (8.4 × 10⁶) ÷ (2.1 × 10²)?

4.0 × 10³

4.0 × 10⁴

6.3 × 10⁴

4.0 × 10⁸

4. Which operations require the same power of 10 before calculating?

Addition

Subtraction

Multiplication

Division

✏️ Part 2: Show Your Work

5. Calculate: (6.7 × 10⁴) - (2.3 × 10⁴)

6. Calculate: (3.5 × 10⁻²) × (4.0 × 10⁵)

7. Calculate: (9.6 × 10⁷) ÷ (3.2 × 10³)

8. A bacteria colony has 2.4 × 10⁶ bacteria. If the population triples, how many bacteria are there now? Write your answer in scientific notation.

9. Without calculating exactly, estimate whether (5.8 × 10³) + (7.2 × 10²) is closer to 6,000 or 60,000. Explain your reasoning.

10. Explain why we add exponents when multiplying numbers in scientific notation, but we don't add them when adding numbers in scientific notation.