When we add a positive integer and a negative integer, the result can vary depending on the values of the integers. In mathematics, positive integers are numbers greater than zero, while negative integers are numbers less than zero. Adding these two types of integers involves understanding the concept of combining opposite values.


When adding a positive integer and a negative integer, we need to consider the signs of the numbers. Here are the possible scenarios and explanations for each case:

1. Positive Integer > Negative Integer:
When the positive integer is greater than the negative integer, the result will be a positive integer. This is because the positive integer's value is larger, so it overcomes the negativeness of the other integer. For example, adding +5 and -3 gives a result of +2.

2. Positive Integer = Negative Integer:
If the positive integer is equal to the negative integer, the result will be zero. This is because the positive and negative values cancel each other out. For example, adding +3 and -3 gives a result of 0.

3. Positive Integer < negative="" />
When the positive integer is smaller than the negative integer, the result will be a negative integer. This is because the negative integer's value is larger, so it overcomes the positiveness of the other integer. For example, adding +2 and -5 gives a result of -3.


To provide a visual representation, we can use a number line. Consider the examples mentioned above:

- Adding +5 and -3: Starting from zero, we move 5 units to the right (positive direction) and then 3 units to the left (negative direction). The final position is at +2.
- Adding +3 and -3: Starting from zero, we move 3 units to the right (positive direction) and then 3 units to the left (negative direction). The final position is at zero.
- Adding +2 and -5: Starting from zero, we move 2 units to the right (positive direction) and then 5 units to the left (negative direction). The final position is at -3.


When we add a positive integer and a negative integer, the result can be positive, zero, or negative depending on the values of the integers. It is important to consider the signs and magnitudes of the numbers involved. The concept of combining opposite values is fundamental in understanding the result of such addition.

If the negative is bigger than the positive number the result will be a negative integer or if the positive integer is bigger than the result will be a positive integer