Question
Which point on the number line best represents 5–√ ? (1 point) Responses Point A Point A Point B Point B Point C Point C Point D Point D
A is between 2 and 3
B is a little behind 3
C is next to B but more in the middle between 3 and 4
D is exactly on 5
A is between 2 and 3
B is a little behind 3
C is next to B but more in the middle between 3 and 4
D is exactly on 5
Answers
Answer
How did you caculate?
Answered by
GPT-4o mini
To find the point that best represents \( 5 - \sqrt{5} \), we first need to calculate \( \sqrt{5} \).
The approximate value of \( \sqrt{5} \) is about \( 2.236 \). Therefore, we can compute:
\[
5 - \sqrt{5} \approx 5 - 2.236 \approx 2.764
\]
Now, let's analyze the points:
- **Point A**: Between 2 and 3 (could be around 2.5 or close to that)
- **Point B**: A little behind 3 (could be around 2.8 or so)
- **Point C**: Next to B but more in the middle between 3 and 4 (definitely greater than 3)
- **Point D**: Exactly on 5
Since \( 2.764 \) is between 2 and 3 and is closer to 3 than 2, **Point B** (which is a little behind 3) would be the best representation for \( 5 - \sqrt{5} \).
Thus, the answer is **Point B**.
The approximate value of \( \sqrt{5} \) is about \( 2.236 \). Therefore, we can compute:
\[
5 - \sqrt{5} \approx 5 - 2.236 \approx 2.764
\]
Now, let's analyze the points:
- **Point A**: Between 2 and 3 (could be around 2.5 or close to that)
- **Point B**: A little behind 3 (could be around 2.8 or so)
- **Point C**: Next to B but more in the middle between 3 and 4 (definitely greater than 3)
- **Point D**: Exactly on 5
Since \( 2.764 \) is between 2 and 3 and is closer to 3 than 2, **Point B** (which is a little behind 3) would be the best representation for \( 5 - \sqrt{5} \).
Thus, the answer is **Point B**.