The radius of the Sun is 
7
×
10
5
 kilometers, and that of Earth is about 
6.4
×
10
3
 kilometers. Use scientific notation to show that the Sun’s radius is about 100 times Earth’s radius.

To compare the radius of the Sun with the radius of the Earth, we can use scientific notation to divide the radius of the Sun by the radius of the Earth.

### Given:
- Radius of the Sun: \( 7 \times 10^5 \) kilometers
- Radius of the Earth: \( 6.4 \times 10^3 \) kilometers

### To show:
\[ \text{Ratio of the Sun's radius to the Earth's radius} = \frac{7 \times 10^5}{6.4 \times 10^3} \]

### Step-by-Step Solution:

1. **Divide the coefficients:**
   \[
   \frac{7}{6.4} \approx 1.09375
   \]

2. **Subtract the exponents (using the property of division in scientific notation):**
   \[
   10^5 \div 10^3 = 10^{5-3} = 10^2
   \]

3. **Combine the results:**
   \[
   \frac{7 \times 10^5}{6.4 \times 10^3} \approx 1.09375 \times 10^2
   \]

   Simplifying further:
   \[
   1.09375 \times 10^2 = 109.375
   \]

This result shows that the Sun's radius is approximately 109.375 times the Earth's radius, which is about 100 times when rounded.

### Conclusion:
Thus, using scientific notation, we have shown that the Sun’s radius is indeed approximately 100 times the Earth’s radius.

Would you like more details or have any questions? 

Here are some related questions you might find interesting:

1. How do you convert between different forms of scientific notation?
2. What is the significance of scientific notation in astronomy?
3. How would the comparison change if the Earth's radius were given in meters instead of kilometers?
4. How does the size of the Sun compare to other stars in our galaxy?
5. What is the volume ratio of the Sun to the Earth?

**Tip:** When working with scientific notation, remember to handle the coefficients and exponents separately for multiplication and division, then combine the results.

The radius of the Sun is 7×10^5 kilometers, and that of Earth is about 6.4×10^3 kilometers. Use scientific notation to show that the Sun’s radius is about 100 times Earth’s radius.

Learn how to use scientific notation to show that the Sun's radius is approximately 100 times that of Earth's. This problem involves comparing the radii using ratios, properties of exponents, and scientific notation, suitable for students in Grades 6-8.

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