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Let's work through the questions from the image.

### Problem:
At its highest point, the elevation of a county is **5,762 feet above sea level**, and at its lowest point, the elevation is **9 feet below sea level**.

#### a. Write an expression using integers to represent the difference between the elevations.

To represent the difference between the highest and lowest points of the county, we can use the integer values:

- The highest point is \( +5,762 \) feet.
- The lowest point is \( -9 \) feet (since it is below sea level).

The difference between the elevations is the difference between the highest point and the lowest point:
\[
5,762 - (-9) = 5,762 + 9
\]

#### b. Will the answer be written as a positive or negative integer?

Since the highest point is much higher than the lowest point, the difference will be positive.

#### c. What is the difference between the highest and lowest points of the county?

The difference is:
\[
5,762 + 9 = 5,771 \, \text{feet}.
\]

### Summary:
- **a.** The expression is \( 5,762 - (-9) \).
- **b.** The answer will be a positive integer.
- **c.** The difference between the highest and lowest points is **5,771 feet**.

Would you like any further details or have any other questions?

### Related questions:
1. What is the significance of using negative integers for below sea level?
2. How would the expression change if both elevations were above sea level?
3. What if the highest point was below sea level, how would you handle the calculation?
4. How do you calculate the absolute difference between two elevations?
5. Why is it important to distinguish between positive and negative integers in elevation problems?

### Tip:
Always be careful when dealing with differences involving negative numbers, as subtracting a negative is equivalent to adding.

At its highest point, the elevation of a county is 5,762 feet above sea level. At its lowest point, the elevation of the county is 9 feet below sea level. a) Write an expression using integers to represent the difference between the elevations. b) Will the answer be written as a positive or negative integer? c) What is the difference between the highest and lowest points of the county?

Learn how to calculate the difference in elevation between the highest point at 5,762 feet and the lowest point 9 feet below sea level using integers. This problem explores key concepts such as subtracting negative numbers and finding elevation differences. Suitable for students in Grades 6-8.

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