IDNLearn.com is the perfect place to get detailed and accurate answers to your questions. Our platform offers comprehensive and accurate responses to help you make informed decisions on any topic.
Sagot :
To arrange the given integers in ascending order, we will systematically analyze and sort each set of numbers individually. Here are the steps:
### 1. List: [tex]$-6, -4, -1, 0, -3$[/tex]
1. To begin with, identify the smallest number and compare each number in the list.
2. In this list, the smallest number is [tex]$-6$[/tex].
3. Next, [tex]$-4$[/tex] is larger than [tex]$-6$[/tex] but smaller compared to others.
4. Following [tex]$-4$[/tex], [tex]$-3$[/tex] comes next because it’s larger than [tex]$-4$[/tex] but smaller than [tex]$-1$[/tex] and [tex]$0$[/tex].
5. After [tex]$-3$[/tex], [tex]$-1$[/tex] is the next value as it is larger than [tex]$-3$[/tex] but smaller than [tex]$0$[/tex].
6. Lastly, [tex]$0$[/tex] is the largest number in this list.
Hence, the sorted order for this list is:
[tex]\[ -6, -4, -3, -1, 0 \][/tex]
### 2. List: [tex]$+1, +6, +8, +3, +5$[/tex]
1. In this group, the smallest positive number is [tex]$+1$[/tex].
2. The next smallest number is [tex]$+3$[/tex].
3. Then, we consider [tex]$+5$[/tex] as it is larger than [tex]$+3$[/tex] but smaller than [tex]$+6$[/tex] and [tex]$+8$[/tex].
4. Then comes [tex]$+6$[/tex] as it is larger than [tex]$+5$[/tex].
5. The largest number in this list is [tex]$+8$[/tex].
Thus, the ascending order for this list is:
[tex]\[ +1, +3, +5, +6, +8 \][/tex]
### 3. List: [tex]$+4, +3, -10, -11, +1$[/tex]
1. Start with the smallest value, which is [tex]$-11$[/tex].
2. The next smallest number is [tex]$-10$[/tex].
3. After sorting the negative values, we move on to the positive numbers. The smallest positive among them is [tex]$+1$[/tex].
4. Next is [tex]$+3$[/tex], larger than [tex]$+1$[/tex] but smaller than [tex]$+4$[/tex].
5. Finally, [tex]$+4$[/tex] is the largest among these values.
So, the sorted order is:
[tex]\[ -11, -10, +1, +3, +4 \][/tex]
### 4. List: [tex]$-8, +8, -5, -6, +4$[/tex]
1. First, identify and list the smallest value, which is [tex]$-8$[/tex].
2. Next, [tex]$-6$[/tex] is the value larger than [tex]$-8$[/tex] but smaller than others.
3. Following [tex]$-6$[/tex], [tex]$-5$[/tex] is next as it is larger than [tex]$-6$[/tex].
4. Then, among the remaining positive numbers, [tex]$+4$[/tex] is the smallest.
5. Finally, the largest number is [tex]$+8$[/tex].
Hence, the sorted order is:
[tex]\[ -8, -6, -5, +4, +8 \][/tex]
### 5. List: [tex]$+9, -10, +6, -3, -2$[/tex]
1. Begin with the smallest number, which is [tex]$-10$[/tex].
2. Then, [tex]$-3$[/tex] is larger than [tex]$-10$[/tex] but smaller than [tex]$-2$[/tex].
3. Next comes [tex]$-2$[/tex], which is larger than [tex]$-3$[/tex] but smaller than [tex]$+6$[/tex] and [tex]$+9$[/tex].
4. Then, [tex]$+6$[/tex] takes the next position as it is the smaller positive number.
5. Finally, the largest number in this list is [tex]$+9$[/tex].
Thus, the sorted order is:
[tex]\[ -10, -3, -2, +6, +9 \][/tex]
Summarizing all the results, we have:
1. [tex]\( -6, -4, -3, -1, 0 \)[/tex]
2. [tex]\( +1, +3, +5, +6, +8 \)[/tex]
3. [tex]\( -11, -10, +1, +3, +4 \)[/tex]
4. [tex]\( -8, -6, -5, +4, +8 \)[/tex]
5. [tex]\( -10, -3, -2, +6, +9 \)[/tex]
This completes the step-by-step arrangement of each list of integers in ascending order.
### 1. List: [tex]$-6, -4, -1, 0, -3$[/tex]
1. To begin with, identify the smallest number and compare each number in the list.
2. In this list, the smallest number is [tex]$-6$[/tex].
3. Next, [tex]$-4$[/tex] is larger than [tex]$-6$[/tex] but smaller compared to others.
4. Following [tex]$-4$[/tex], [tex]$-3$[/tex] comes next because it’s larger than [tex]$-4$[/tex] but smaller than [tex]$-1$[/tex] and [tex]$0$[/tex].
5. After [tex]$-3$[/tex], [tex]$-1$[/tex] is the next value as it is larger than [tex]$-3$[/tex] but smaller than [tex]$0$[/tex].
6. Lastly, [tex]$0$[/tex] is the largest number in this list.
Hence, the sorted order for this list is:
[tex]\[ -6, -4, -3, -1, 0 \][/tex]
### 2. List: [tex]$+1, +6, +8, +3, +5$[/tex]
1. In this group, the smallest positive number is [tex]$+1$[/tex].
2. The next smallest number is [tex]$+3$[/tex].
3. Then, we consider [tex]$+5$[/tex] as it is larger than [tex]$+3$[/tex] but smaller than [tex]$+6$[/tex] and [tex]$+8$[/tex].
4. Then comes [tex]$+6$[/tex] as it is larger than [tex]$+5$[/tex].
5. The largest number in this list is [tex]$+8$[/tex].
Thus, the ascending order for this list is:
[tex]\[ +1, +3, +5, +6, +8 \][/tex]
### 3. List: [tex]$+4, +3, -10, -11, +1$[/tex]
1. Start with the smallest value, which is [tex]$-11$[/tex].
2. The next smallest number is [tex]$-10$[/tex].
3. After sorting the negative values, we move on to the positive numbers. The smallest positive among them is [tex]$+1$[/tex].
4. Next is [tex]$+3$[/tex], larger than [tex]$+1$[/tex] but smaller than [tex]$+4$[/tex].
5. Finally, [tex]$+4$[/tex] is the largest among these values.
So, the sorted order is:
[tex]\[ -11, -10, +1, +3, +4 \][/tex]
### 4. List: [tex]$-8, +8, -5, -6, +4$[/tex]
1. First, identify and list the smallest value, which is [tex]$-8$[/tex].
2. Next, [tex]$-6$[/tex] is the value larger than [tex]$-8$[/tex] but smaller than others.
3. Following [tex]$-6$[/tex], [tex]$-5$[/tex] is next as it is larger than [tex]$-6$[/tex].
4. Then, among the remaining positive numbers, [tex]$+4$[/tex] is the smallest.
5. Finally, the largest number is [tex]$+8$[/tex].
Hence, the sorted order is:
[tex]\[ -8, -6, -5, +4, +8 \][/tex]
### 5. List: [tex]$+9, -10, +6, -3, -2$[/tex]
1. Begin with the smallest number, which is [tex]$-10$[/tex].
2. Then, [tex]$-3$[/tex] is larger than [tex]$-10$[/tex] but smaller than [tex]$-2$[/tex].
3. Next comes [tex]$-2$[/tex], which is larger than [tex]$-3$[/tex] but smaller than [tex]$+6$[/tex] and [tex]$+9$[/tex].
4. Then, [tex]$+6$[/tex] takes the next position as it is the smaller positive number.
5. Finally, the largest number in this list is [tex]$+9$[/tex].
Thus, the sorted order is:
[tex]\[ -10, -3, -2, +6, +9 \][/tex]
Summarizing all the results, we have:
1. [tex]\( -6, -4, -3, -1, 0 \)[/tex]
2. [tex]\( +1, +3, +5, +6, +8 \)[/tex]
3. [tex]\( -11, -10, +1, +3, +4 \)[/tex]
4. [tex]\( -8, -6, -5, +4, +8 \)[/tex]
5. [tex]\( -10, -3, -2, +6, +9 \)[/tex]
This completes the step-by-step arrangement of each list of integers in ascending order.
We appreciate your contributions to this forum. Don't forget to check back for the latest answers. Keep asking, answering, and sharing useful information. Thanks for visiting IDNLearn.com. We’re dedicated to providing clear answers, so visit us again for more helpful information.
