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The image outlines key properties of the addition of integers:

1. **Closure Property**:  
   \( a + b \) is an integer (the result of adding two integers is always an integer).
   
2. **Commutative Property**:  
   \( a + b = b + a \) (changing the order of numbers does not affect the sum).
   
3. **Associative Property**:  
   \( (a + b) + c = a + (b + c) \) (grouping of numbers does not affect the sum).
   
4. **Identity Property**:  
   \( a + 0 = a \); the number 0 is called the **additive identity** (adding zero to a number does not change its value).
   
5. **Inverse Property**:  
   \( a + (-a) = 0 \); the number \(-a\) is called the **additive inverse** (adding a number and its opposite results in zero).
   
6. **Distributive Property**:  
   \( a(b + c) = ab + ac \) (distributing multiplication over addition).

Would you like a detailed explanation of any of these properties or examples to better understand them?

Here are 5 related questions for further learning:

1. How do the commutative and associative properties differ?
2. Can you explain why zero is called the additive identity?
3. How does the inverse property help in solving equations?
4. Can the distributive property be applied in reverse (factoring)?
5. What other operations, besides addition, have similar properties?

**Tip:** The inverse property is key in solving algebraic equations, especially when isolating variables.

What are the properties of the addition of integers?

Explore the key properties of integer addition: Closure, Commutative, Associative, Identity, Inverse, and Distributive properties. This explanation covers the basics of addition in algebra, ideal for Grades 6-8 students.

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