Question

the goal of a video game is to find hidden gems on a number line. a diamond is hidden at $2\frac{1}{2}$. which point on the number line shows the correct location of $2\frac{1}{2}$? point a point b point c

Explanation:

Step1: Analyze the number line

The number line has marks at 0, \(\frac{1}{2}\), 1, \(1\frac{1}{2}\), 2, 3, 4, 5. The distance between each major mark (e.g., 2 to 3) is 1 unit, and it's divided into 2 equal parts (since the marks are at half - integers). So each small segment represents \(\frac{1}{2}\) unit.

Step2: Locate \(2\frac{1}{2}\)

\(2\frac{1}{2}\) is equal to \(2+\frac{1}{2}\). Starting from 2, moving \(\frac{1}{2}\) unit to the right. Let's analyze the points:

• Point B is at 3, so it's not \(2\frac{1}{2}\).
• Point C is to the right of 3, so it's greater than 3.
• Point A is between 2 and 3, and since the distance from 2 to 3 is 1 (which is \(2\times\frac{1}{2}\)), the mid - point between 2 and 3 is \(2+\frac{1}{2}=2\frac{1}{2}\), which is Point A.

Answer:

Point A