The difference of two positive integers is never negative.
1. True
2. False
The correct answer is 1. True.
To understand why the difference of two positive integers is never negative, let's break it down:
When we subtract a smaller positive integer from a larger positive integer, we are finding the "difference" between the two numbers. The difference is a measure of how far apart the two numbers are from each other.
Since both of the integers we are considering are positive, it means they are greater than zero. When we subtract a smaller positive number from a larger positive number, we are essentially figuring out how much the larger number is larger than the smaller number.
For example, let's consider the numbers 6 and 4. When we subtract 4 from 6, we get 2. The result, 2, indicates that 6 is 2 units larger than 4.
In this case, the result of the subtraction is positive because the larger number is indeed greater than the smaller number. If we were to reverse the order and subtract the larger positive number from the smaller positive number (e.g., 4 - 6), the result would be a negative number (-2). This is because the smaller number is not larger than the bigger number.
Therefore, when subtracting one positive number from another positive number, the result is always positive, and the difference is never negative.