Lesson 47 — Estimating with Scientific Notation

🎯 Goal

Use scientific notation to estimate large or small numbers efficiently.

📖 Lesson Description

• Round numbers to 1 or 2 significant figures before converting to scientific notation
• Helps in approximating very large or very small numbers
• Example: \( 6,532,000 \approx 6.5 \times 10^6 \)
• Example: \( 0.000492 \approx 4.9 \times 10^{-4} \)

🔎 Examples

• Approximate \( 123,000,000 \approx 1.23 \times 10^8 \)
• Approximate \( 0.0000789 \approx 7.89 \times 10^{-5} \)

✏️ Practice

1. Estimate \( 9,870,000 \) in scientific notation
2. Estimate \( 0.0000564 \) in scientific notation
3. Estimate \( 432,000,000 \) in scientific notation