https://file.aiquickdraw.com/mathbot/file/1729362930707w5ay82vu.jpg

Let's work through this problem based on the image you provided.

### (c) Nishat says that Saturn is over fifty times further away from Earth than Mars is. Is Nishat right?

We need to determine if the distance from Earth to Saturn is more than 50 times the distance from Earth to Mars.

- **Distance to Saturn:** \( 1.28 \times 10^9 \, \text{km} \)
- **Distance to Mars:** \( 7.83 \times 10^7 \, \text{km} \)

Now, to see how many times farther Saturn is from Earth than Mars, we need to divide the distance to Saturn by the distance to Mars:

\[
\frac{\text{Distance to Saturn}}{\text{Distance to Mars}} = \frac{1.28 \times 10^9}{7.83 \times 10^7}
\]

Simplifying this:

\[
\frac{1.28 \times 10^9}{7.83 \times 10^7} = \frac{1.28}{7.83} \times 10^{9-7} = \frac{1.28}{7.83} \times 10^2
\]

Calculating the first part:

\[
\frac{1.28}{7.83} \approx 0.163
\]

Thus, the result is:

\[
0.163 \times 10^2 = 16.3
\]

This means that **Saturn is approximately 16.3 times further from Earth than Mars**, which is **less than 50**. Therefore, **Nishat is incorrect**.

### Do you have any further questions or want more details on any part of this?

### Expanding on the concept:
1. How do you calculate the ratio between two distances with scientific notation?
2. How would the result change if Saturn were placed further in the solar system?
3. What other planets are more than 50 times further from Earth than Mars, based on the table?
4. Can you convert these distances into astronomical units (AU)?
5. How does the mass of planets compare to their distance from Earth?

### Tip:
When working with large numbers in scientific notation, always simplify the powers of 10 first before handling the division. This will make the calculation easier.

Nishat says that Saturn is over fifty times further away from Earth than Mars is. Is Nishat right? Show how you get your answer.

Explore how to determine if Saturn is over fifty times further from Earth than Mars using the concept of scientific notation and ratios. Learn about calculating distances in kilometers and how to simplify powers of 10. Perfect for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation