https://file.aiquickdraw.com/mathbot/file/1729209505236mt5m981t.jpg

Let's address the problem from the image.

### Problem 1:
**Expressions:**
- \( -20 - 8 \)
- \( 8 - (-20) \)

The question asks **which result is greater** without actually calculating the values directly.

### Approach:

1. **Expression 1:**  
   \[ -20 - 8 \]  
   This represents a more negative value. Starting from \(-20\) and subtracting 8 makes it even more negative, which will be \(-28\). 

2. **Expression 2:**  
   \[ 8 - (-20) \]  
   Subtracting a negative number is the same as adding. So, \(8 - (-20) = 8 + 20 = 28\).

### Comparing without actual values:
- The first expression \(-20 - 8\) results in a **negative value** (very small).
- The second expression \(8 - (-20)\) results in a **positive value** (very large).

Since positive numbers are always greater than negative numbers, the second expression \(8 - (-20)\) must be the **greater result**.

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Would you like a more detailed step-by-step breakdown of this comparison?  

Here are five related questions for further exploration:
1. How do we add and subtract negative numbers?
2. What happens when we subtract a negative number?
3. Why is subtracting negative values equivalent to addition?
4. How do integer chips help visualize negative and positive numbers?
5. How would the comparison change if both numbers were negative?

**Tip:** Whenever you're comparing expressions with negatives, look for opportunities to turn them into addition—this makes things much clearer!

Mr. Lin writes the expressions -20 - 8 and 8 - (-20) on the board. He asks his class which result is greater. How can his class decide without finding the value of each difference?

Learn how to compare integer expressions without direct calculation. This problem involves comparing -20 - 8 with 8 - (-20), focusing on adding and subtracting negative numbers. Perfect for Grades 6-8 students looking to strengthen their understanding of integer operations.

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