Question

large numbers in scientific notation example using actual numbers

Answer 1

Sure! Here are a few examples of large numbers represented in scientific notation, along with their actual values:

1. **Example 1:**
- **Scientific Notation:** \(6.02 \times 10^{23}\)
- **Actual Number:** 602,000,000,000,000,000,000,000 (Avogadro's number, the number of atoms or molecules in one mole of a substance)

2. **Example 2:**
- **Scientific Notation:** \(1.0 \times 10^{9}\)
- **Actual Number:** 1,000,000,000 (One billion)

3. **Example 3:**
- **Scientific Notation:** \(3.0 \times 10^{15}\)
- **Actual Number:** 3,000,000,000,000,000 (Three quadrillion)

4. **Example 4:**
- **Scientific Notation:** \(5.9 \times 10^{36}\)
- **Actual Number:** 59,000,000,000,000,000,000,000,000,000,000,000,000 (Mass of the observable universe in kilograms)

5. **Example 5:**
- **Scientific Notation:** \(1.0 \times 10^{40}\)
- **Actual Number:** 100,000,000,000,000,000,000,000,000,000,000,000,000 (One hundred decillion)

These examples demonstrate how scientific notation is used to represent very large numbers in a more compact and manageable way.