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

2 answers

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.

How did you caculate?