https://file.aiquickdraw.com/mathbot/file/1726695594697q1vipq3d.jpg

Let's solve the integer simplifications from the image step by step:

1. **\(-4 - (-10)\)**:
   - Subtracting a negative number is the same as adding a positive number.
   - So, \(-4 - (-10) = -4 + 10 = 6\).

2. **\(-17 + 13 - 4\)**:
   - Start by adding \(-17 + 13 = -4\).
   - Then subtract \(4\): \(-4 - 4 = -8\).

3. **\(\frac{-27}{9}\)**:
   - Simplify \(-27 \div 9 = -3\).

4. **\(5 - 7\)**:
   - Subtract: \(5 - 7 = -2\).

5. **\(-15 * (-2)\)**:
   - Multiplying two negative numbers gives a positive result.
   - So, \(-15 * (-2) = 30\).

6. **\(11 * (-3)\)**:
   - Multiplying a positive number by a negative number gives a negative result.
   - So, \(11 * (-3) = -33\).

### Final answers:
1. \(6\)
2. \(-8\)
3. \(-3\)
4. \(-2\)
5. \(30\)
6. \(-33\)

Let me know if you need any further clarifications! 

Here are 5 relative questions you could explore:
1. What happens when you subtract a negative number from another negative number?
2. How does the order of operations affect expressions with multiple operations?
3. What are the rules for multiplying positive and negative integers?
4. Can you explain how to simplify complex fractions involving negative numbers?
5. How do you handle subtraction when dealing with mixed positive and negative terms?

**Tip**: Always remember that subtracting a negative number is equivalent to adding the positive value of that number!

Simplify the following integers: 1. -4 - (-10), 2. -17 + 13 - 4, 3. -27/9, 4. 5 - 7, 5. -15 * -2, 6. 11 * -3.

This exercise covers the simplification of integer operations, including adding, subtracting, multiplying, and dividing integers. Learn how to simplify problems like -4 - (-10), -17 + 13 - 4, and more. Suitable for students in Grades 6-8.

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