Certainly! Let's work through the problem step by step.
1. Identify the Given Condition:
The problem states that we need to find a positive integer and a negative integer such that their difference is 10.
2. Choose the Positive Integer:
Let's choose a specific number for the positive integer. We will work with the number 10.
3. Determine the Negative Integer:
Now, we know that the difference between the positive integer and the negative integer must be 10.
We have the following equation:
[tex]\[
\text{positive integer} - \text{negative integer} = 10
\][/tex]
Let's denote the positive integer by [tex]\( p \)[/tex] and the negative integer by [tex]\( n \)[/tex].
So, we have:
[tex]\[
10 - n = 10
\][/tex]
4. Solve for the Negative Integer:
Rearrange the equation to solve for [tex]\( n \)[/tex]:
[tex]\[
10 - n = 10
\][/tex]
Subtract 10 from both sides:
[tex]\[
-n = 0
\][/tex]
Multiply both sides by -1 to solve for [tex]\( n \)[/tex]:
[tex]\[
n = 0
\][/tex]
5. Conclusion:
The positive integer is 10, and the corresponding negative integer whose difference with the positive integer is 10 is 0.
Therefore, the positive integer is 10 and the negative integer is 0.
