Understanding Integer Pairs
When we talk about integers, we refer to whole numbers that can be positive, negative, or zero. In this case, we want to find pairs of integers whose sum is -7.
Finding Integer Pairs
To find pairs of integers that add up to -7, we can start by thinking of one integer as a negative number and the other as a smaller negative number. Here’s how it works:
- Let’s choose the first integer as -1.
- To find the second integer, we can set up the equation:
-1 + x = -7
- Solving for x gives us x = -6.
- Therefore, one pair of integers is:
- (-1, -6)
More Examples
We can try other combinations too:
- Choose -2 as the first integer:
- -2 + x = -7
- This gives x = -5.
- Another pair is:
- (-2, -5)
- Choose -3 as the first integer:
- -3 + x = -7
- This results in x = -4.
- The pair here is:
- (-3, -4)
Conclusion
In summary, several pairs of integers can sum to -7:
- (-1, -6)
- (-2, -5)
- (-3, -4)
You can create more pairs by continuing this process. Remember, the key is that both integers must be negative or one can be a positive integer that is smaller than the absolute value of the other negative integer.
Explore more about integers and their combinations on platforms like EduRev!