Day 11 of 30
Scientific notation: large numbers
Content is AI-assisted and continuously improved through educator review
Learning Objective
Students will explore scientific notation and large numbers through guided practice and application.
In this lesson, we'll explore scientific notation: large numbers. Mathematical thinking develops logical reasoning and problem-solving abilities.
Scientific notation writes very large or very small numbers compactly as a × 10ⁿ, where 1 ≤ |a| < 10 and n is an integer. Large numbers: positive exponent (3,000,000 = 3 × 10⁶). Small numbers: negative exponent (0.00004 = 4 × 10⁻⁵). To multiply: multiply the a parts, add exponents. To divide: divide a parts, subtract exponents. Scientific notation is essential in science for distances (light-years), sizes (atoms), and measurements. It makes calculations with extreme numbers manageable!
As you work through today's material, pay attention to the examples and try to identify the patterns or strategies being used. This will help you apply these concepts to new problems.
Take notes on key points and make connections to what you've already learned in previous lessons.
A mathematical question requiring analysis and solution
The result obtained by solving a problem
Instructions
Materials Needed
- Notebook
- Calculator (if needed)
- Graph paper
Write 4,500,000 in scientific notation
Write 0.00032 in scientific notation
What is (2 × 10³) × (3 × 10²)?
Teaching Tip
For advanced learners: Encourage deeper analysis and real-world connections. Consider extension activities that allow students to apply scientific notation: large numbers to novel situations.