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the goal of a video game is to find hidden gems on a number line. a sap…

Question

the goal of a video game is to find hidden gems on a number line.
a sapphire is hidden at point s. which number describes the location of the sapphire?
1, 1½, 2, 2½

Explanation:

Step1: Analyze the number line

The number line has marks at 0, $\frac{1}{2}$, 1, 2, 3, 4, 5. The distance between each major mark (0 to 1, 1 to 2, etc.) is 1, and between 0 - 1, there are two equal parts (since $\frac{1}{2}$ is halfway). So each small segment is $\frac{1}{2}$ unit.

Step2: Locate point S

Point S is between 1 and 2. The distance from 1 to S: since from 1 to 2 is 1 unit (2 - 1 = 1), and S is halfway between 1 and 2? Wait, no, let's count the segments. From 1 to 2, there are two segments? Wait, the marks are at 0, $\frac{1}{2}$, 1, then next mark? Wait, the number line has 0, $\frac{1}{2}$, 1, then S, then 2. Wait, the positions: 0, $\frac{1}{2}$ (0.5), 1, then S, then 2. So the distance from 1 to 2 is 1, divided into two segments? Wait, no, the marks are at 0, 0.5, 1, then S, then 2. So the interval from 1 to 2: how many steps? Let's see, from 1 to 2, the midpoint would be 1.5, which is $1\frac{1}{2}$. So S is at $1\frac{1}{2}$.

Answer:

$1\frac{1}{2}$ (the option with $1\frac{1}{2}$)