Answer :
To solve the problem of ordering the yards gained or lost on 5 different plays from greatest to least, we need to evaluate the numerical values and arrange them accordingly.
Here are the yards: [tex]\(-5, 3, -3, 0, 5\)[/tex].
### Step-by-Step Approach:
1. Identify the greatest (largest) number:
- Among the numbers [tex]\(-5, 3, -3, 0, 5\)[/tex], the largest number is [tex]\(5\)[/tex].
2. Find the next greatest:
- Once [tex]\(5\)[/tex] is established as the largest, we look at the remaining numbers: [tex]\(-5, 3, -3, 0\)[/tex].
- Next greatest number is [tex]\(3\)[/tex].
3. Identify the mid-value:
- After [tex]\(5\)[/tex] and [tex]\(3\)[/tex], the remaining numbers are [tex]\(-5, -3, 0\)[/tex].
- Among these values, [tex]\(0\)[/tex] is the next greatest.
4. Determine the next value:
- With [tex]\(5, 3, 0\)[/tex] sorted, we have [tex]\(-5\)[/tex] and [tex]\(-3\)[/tex] left.
- The next greatest value is [tex]\(-3\)[/tex].
5. Identify the least number:
- The smallest number in the given list is [tex]\(-5\)[/tex].
After arranging the numbers from greatest to least, we get:
[tex]\[ 5, 3, 0, -3, -5. \][/tex]
Therefore, the correct answer is:
A. [tex]\(5, 3, 0, -3, -5\)[/tex]
Here are the yards: [tex]\(-5, 3, -3, 0, 5\)[/tex].
### Step-by-Step Approach:
1. Identify the greatest (largest) number:
- Among the numbers [tex]\(-5, 3, -3, 0, 5\)[/tex], the largest number is [tex]\(5\)[/tex].
2. Find the next greatest:
- Once [tex]\(5\)[/tex] is established as the largest, we look at the remaining numbers: [tex]\(-5, 3, -3, 0\)[/tex].
- Next greatest number is [tex]\(3\)[/tex].
3. Identify the mid-value:
- After [tex]\(5\)[/tex] and [tex]\(3\)[/tex], the remaining numbers are [tex]\(-5, -3, 0\)[/tex].
- Among these values, [tex]\(0\)[/tex] is the next greatest.
4. Determine the next value:
- With [tex]\(5, 3, 0\)[/tex] sorted, we have [tex]\(-5\)[/tex] and [tex]\(-3\)[/tex] left.
- The next greatest value is [tex]\(-3\)[/tex].
5. Identify the least number:
- The smallest number in the given list is [tex]\(-5\)[/tex].
After arranging the numbers from greatest to least, we get:
[tex]\[ 5, 3, 0, -3, -5. \][/tex]
Therefore, the correct answer is:
A. [tex]\(5, 3, 0, -3, -5\)[/tex]