When two positive integers are added together, the result is always a positive integer.
Positive integers are whole numbers greater than zero (e.g., 1, 2, 3, 4,...). The act of addition combines the values of these numbers. Since both numbers are greater than zero, their sum must also be greater than zero. Therefore, the result will always be a positive whole number, which fits the definition of a positive integer.
Examples:
- 1 + 1 = 2
- 5 + 10 = 15
- 100 + 25 = 125
- 1 + 999 = 1000
In each of these examples, adding two positive integers results in another positive integer. There are no exceptions to this rule within the realm of integers.