https://file.aiquickdraw.com/mathbot/file/17274587581060djdbyct.jpg

Let's analyze and solve the integer classification in the table provided:

1. **−50**: 
   - **Integer?**: Yes. \( -50 \) is a whole number, and thus an integer.

2. **−43**:
   - **Integer?**: Yes. \( -43 \) is also a whole number and an integer.

3. **\(-\frac{12}{2}\)**:
   - First, simplify \( -\frac{12}{2} = -6 \).
   - **Integer?**: Yes. \( -6 \) is a whole number, so it's an integer.

4. **−85.6**:
   - **Integer?**: No. \( -85.6 \) is a decimal number, and decimals are not integers.

5. **\(\frac{20}{13}\)**:
   - **Integer?**: No. \( \frac{20}{13} \) is a fraction (approximately 1.538), which is not a whole number, so it's not an integer.

### Final Answers:
- **−50**: Yes
- **−43**: Yes
- **\(-\frac{12}{2}\)**: Yes
- **−85.6**: No
- **\(\frac{20}{13}\)**: No

Let me know if you'd like further details!

### Related Questions:
1. What is the definition of an integer in mathematics?
2. How do you simplify fractions and determine if they result in integers?
3. Why are decimal numbers not considered integers?
4. Can negative numbers be classified as integers? Why?
5. How would you convert a decimal or fraction to an integer, if possible?

### Tip: 
Always remember that integers include both positive and negative whole numbers but exclude fractions and decimals.

Classify the following numbers as integers or not: -50, -43, -12/2, -85.6, 20/13.

This problem explores the classification of numbers such as -50, -43, -12/2, -85.6, and 20/13 as integers or non-integers. Learn how to identify integers, simplify fractions, and distinguish between integers and decimal numbers. Suitable for students in Grades 6-8.

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