The difference between two negative integers can be either a positive integer, a negative integer, or zero. This is not always a negative integer as often assumed. Let's delve into why.
Understanding Negative Integer Differences
When we subtract one negative integer from another, we can think of it as adding the opposite. The original negative integer will stay the same, and we will add the positive version of the other negative integer to it. The outcome depends on the magnitude of both numbers.
Examples and Analysis
Let's look at various cases:
- Case 1: Subtracting a smaller negative integer from a larger one.
- Example: (-2) - (-5) = (-2) + 5 = 3. The result is a positive integer.
- Case 2: Subtracting a larger negative integer from a smaller one.
- Example: (-5) - (-2) = (-5) + 2 = -3. The result is a negative integer.
- Case 3: Subtracting a negative integer from itself.
- Example: (-5) - (-5) = (-5) + 5 = 0. The result is zero.
As you can see from these examples, based on the reference provided, the difference of two negative integers is not necessarily a negative integer. The outcome can be positive, negative or zero.
Summary
| Operation | Example | Result |
|---|---|---|
| (-2) - (-5) | (-2) + 5 | 3 (Positive) |
| (-5) - (-2) | (-5) + 2 | -3 (Negative) |
| (-5) - (-5) | (-5) + 5 | 0 (Zero) |
Conclusion
Therefore, when you subtract two negative integers, the outcome can vary. It is important to remember that the result is found by adding the first number to the positive version of the number you are subtracting and depending on the magnitude of both numbers, the result can be positive, negative or zero.
