Properties of Integers under Addition and Multiplication
Integers exhibit specific properties when operated on with addition and multiplication. Let's explore these properties using daily life situations:

1. Closure Property:
- Just like in daily life when we add or multiply integers, we always end up with an integer. For example, if we add 2 and 3, we get 5, which is also an integer. Similarly, when we multiply 4 and 5, we get 20, which is again an integer.

2. Commutative Property:
- In daily life, the order in which we add or multiply integers does not change the result. For instance, when we add 2 and 3, we get 5, and when we add 3 and 2, we still get 5. The same applies to multiplication.

3. Associative Property:
- When adding or multiplying multiple integers, the grouping of numbers does not affect the result. In daily life, this is similar to how we can group numbers differently and still get the same sum or product. For example, (2 + 3) + 4 is equal to 2 + (3 + 4).

4. Identity Property:
- In daily life, when we add 0 to any integer, we get the same integer. This is similar to the identity property of integers under addition. For example, when we add 0 to 5, we get 5.

5. Distributive Property:
- This property relates multiplication to addition. In daily life, distributive property can be seen when we distribute multiplication over addition. For example, 2 x (3 + 4) is equal to (2 x 3) + (2 x 4).
Understanding these properties helps in performing arithmetic operations with integers efficiently and accurately in daily life situations.