Scientific Notation Operations Worksheet

Name:

Date:

🧮 Part 1: Adding and Subtracting Scientific Notation

Remember: To add or subtract numbers in scientific notation, the exponents must be the same!

1. Add: (3.2 × 10³) + (1.5 × 10³)

2. Subtract: (7.8 × 10⁵) - (2.3 × 10⁵)

3. Add: (4.6 × 10²) + (3.2 × 10³)

Hint: First make the exponents the same!

4. Which operation requires the exponents to be the same?

Addition and subtraction only

Multiplication and division only

All four operations

None of the operations

✖️➗ Part 2: Multiplying and Dividing Scientific Notation

Remember: When multiplying, add the exponents. When dividing, subtract the exponents!

5. Multiply: (2.5 × 10⁴) × (3.0 × 10²)

6. Divide: (8.4 × 10⁶) ÷ (2.1 × 10³)

7. Multiply: (1.2 × 10⁵) × (4.0 × 10⁻²)

8. What is 10⁴ × 10³?

10⁷

10¹²

10¹

10⁰

🌟 Part 3: Mixed Practice

9. Solve: (6.0 × 10³) + (2.0 × 10³) - (1.5 × 10³)

10. Solve: (9.6 × 10⁵) ÷ (3.2 × 10²)

11. A scientist measures two bacteria colonies. Colony A has 3.4 × 10⁴ bacteria and Colony B has 2.1 × 10⁴ bacteria. How many bacteria are there in total?

12. Explain in your own words: Why do we need to have the same exponents when adding or subtracting scientific notation, but not when multiplying or dividing?