The distance from Earth to the nearest star is 40,208,000,000 kilometers. How is this number of kilometers written in scientific notation?

To write the distance from Earth to the nearest star, 40,208,000,000 kilometers, in scientific notation, follow these steps:

1. **Identify the significant figures**: The significant figures in the number are 40208.

2. **Determine the power of 10**: Count the number of places you move the decimal point to place it after the first non-zero digit. For 40,208,000,000, you move the decimal point 10 places to the left.

3. **Combine the significant figures with the power of 10**: The number 40,208,000,000 can be written as \(4.0208 \times 10^{10}\) kilometers.

So, the distance is written in scientific notation as \(4.0208 \times 10^{10}\) kilometers.

Would you like further details or have any other questions? Here are 5 related questions you might find interesting:

1. How would you convert a number like 0.0005 into scientific notation?
2. What are some common applications of scientific notation in astronomy?
3. Can you compare the distance between two stars using scientific notation?
4. How do you multiply or divide numbers that are in scientific notation?
5. Why is scientific notation important in fields that deal with very large or small numbers?

**Tip:** When converting to scientific notation, always ensure that the number of significant figures in the notation matches the original number's significant figures.

Learn how to convert the distance from Earth to the nearest star, 40,208,000,000 kilometers, to scientific notation with a detailed step-by-step explanation. This problem covers the concept of scientific notation, including identifying significant figures and determining the power of 10. Suitable for students in Grades 7-9.

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