Introduction:
Addition and subtraction of integers are fundamental operations in mathematics. Integers are whole numbers that can be positive, negative, or zero. Adding and subtracting integers involve combining or taking away these numbers to find the result. While it may seem challenging at first, with practice and understanding of a few rules, performing these operations becomes relatively easy.

Rules for Addition of Integers:
1. Addition of two positive integers: When adding two positive integers, simply add the numbers and keep the positive sign.
2. Addition of two negative integers: When adding two negative integers, add the numbers and keep the negative sign.
3. Addition of a positive and a negative integer: When adding a positive and a negative integer, subtract the smaller absolute value from the larger absolute value and keep the sign of the number with the larger absolute value.
4. Addition of zero: Adding zero to any integer does not change the value of the integer.

Rules for Subtraction of Integers:
1. Subtracting a positive integer: Subtract the positive number from the given integer.
2. Subtracting a negative integer: Subtracting a negative integer is equivalent to adding the positive value of that number. Change the sign of the negative integer to positive and perform the addition.
3. Subtracting zero: Subtracting zero from any integer does not change the value of the integer.

Examples:
Let's consider a few examples to understand the addition and subtraction of integers better.

1. Addition:
- Example 1: 5 + 3 = 8 (Adding two positive integers)
- Example 2: -4 + (-2) = -6 (Adding two negative integers)
- Example 3: 7 + (-4) = 3 (Adding a positive and a negative integer)

2. Subtraction:
- Example 1: 9 - 4 = 5 (Subtracting a positive integer)
- Example 2: 5 - (-2) = 7 (Subtracting a negative integer)
- Example 3: -3 - 0 = -3 (Subtracting zero)

Conclusion:
While addition and subtraction of integers may initially seem challenging, understanding the rules and practicing regularly can make it easier. By following the rules for addition and subtraction of integers, you can confidently solve problems involving these operations.