Question

large numbers in scientific notation example

Answer 1

Scientific notation is a way to express large numbers in a compact form that makes them easier to read and work with. A number is written in scientific notation as a product of a number between 1 and 10, and a power of 10.

Here are a few examples of large numbers expressed in scientific notation:

1. **One million**:
- Standard form: 1,000,000
- Scientific notation: \(1.0 \times 10^6\)

2. **One billion**:
- Standard form: 1,000,000,000
- Scientific notation: \(1.0 \times 10^9\)

3. **The distance from the Earth to the sun (approximately 93 million miles)**:
- Standard form: 93,000,000
- Scientific notation: \(9.3 \times 10^7\)

4. **The estimated number of stars in the observable universe (around 100 billion)**:
- Standard form: 100,000,000,000
- Scientific notation: \(1.0 \times 10^{11}\)

5. **The mass of the Milky Way galaxy (around \(1.5 \times 10^{12}\) solar masses)**:
- Standard form: 1,500,000,000,000 solar masses
- Scientific notation: \(1.5 \times 10^{12}\)

These examples illustrate how scientific notation simplifies the representation of large numbers, making calculations and comparisons easier.