To arrange the given set of integers [tex]\(\{-3, 0, -7, 5, 2\}\)[/tex] in ascending order, follow these steps:
1. Identify and list the integers: Start with identifying all the integers in the set: [tex]\(-3, 0, -7, 5, 2\)[/tex].
2. Compare each integer: Determine the relative order of each integer by comparing them.
- Among the integers, the smallest number is [tex]\(-7\)[/tex].
- The next smallest number is [tex]\(-3\)[/tex].
- Next, we have [tex]\(0\)[/tex], which is greater than [tex]\(-3\)[/tex] and [tex]\(-7\)[/tex] but less than [tex]\(2\)[/tex] and [tex]\(5\)[/tex].
- The integer [tex]\(2\)[/tex] comes after [tex]\(0\)[/tex].
- Finally, the largest number in the set is [tex]\(5\)[/tex].
3. List the integers in ascending order: Based on the comparisons made:
- Start with the smallest number: [tex]\(-7\)[/tex].
- Next, place the second smallest number: [tex]\(-3\)[/tex].
- Then, add the next integer: [tex]\(0\)[/tex].
- Follow with the next integer: [tex]\(2\)[/tex].
- Conclude with the largest number: [tex]\(5\)[/tex].
Thus, the set of integers [tex]\(\{-3, 0, -7, 5, 2\}\)[/tex], when arranged in ascending order, is [tex]\(\{-7, -3, 0, 2, 5\}\)[/tex].
