Answer :
To determine the correct algebraic expression that represents the phrase “the number of students in each of 4 equal groups,” let’s proceed step by step.
1. Understanding the Problem:
- We are given that \( s \) is the total number of students in a PE class.
- The problem asks for the number of students in each of the 4 equal groups.
2. Dividing Students into Groups:
- If the students are divided into 4 equal groups, then each group will contain the same number of students.
- To find the number of students in each group, we divide the total number of students \( s \) by the number of groups, which is 4.
3. Writing the Expression:
- The operation that represents dividing the total number of students \( s \) by 4 is written as \( \frac{s}{4} \).
4. Analyzing the Options:
- Option A: \(\frac{s}{4}\) – This matches our result and indicates dividing the total number of students by 4.
- Option B: \(s-4\) – This represents subtracting 4 from the total number of students, which is not what we need.
- Option C: \(4s\) – This indicates multiplying the number of students by 4, which is incorrect for our purpose.
- Option D: \(s+4\) – This represents adding 4 to the total number of students, which is also incorrect.
5. Conclusion:
- The correct algebraic expression is indeed Option A: \(\frac{s}{4}\).
Therefore, the correct answer is:
[tex]\[ \boxed{A} \][/tex]
1. Understanding the Problem:
- We are given that \( s \) is the total number of students in a PE class.
- The problem asks for the number of students in each of the 4 equal groups.
2. Dividing Students into Groups:
- If the students are divided into 4 equal groups, then each group will contain the same number of students.
- To find the number of students in each group, we divide the total number of students \( s \) by the number of groups, which is 4.
3. Writing the Expression:
- The operation that represents dividing the total number of students \( s \) by 4 is written as \( \frac{s}{4} \).
4. Analyzing the Options:
- Option A: \(\frac{s}{4}\) – This matches our result and indicates dividing the total number of students by 4.
- Option B: \(s-4\) – This represents subtracting 4 from the total number of students, which is not what we need.
- Option C: \(4s\) – This indicates multiplying the number of students by 4, which is incorrect for our purpose.
- Option D: \(s+4\) – This represents adding 4 to the total number of students, which is also incorrect.
5. Conclusion:
- The correct algebraic expression is indeed Option A: \(\frac{s}{4}\).
Therefore, the correct answer is:
[tex]\[ \boxed{A} \][/tex]
