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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
Step1: Analyze the number line
The number line has marks at 0, $\frac{1}{2}$, 1, 2, 3, etc. The distance between 0 and $\frac{1}{2}$ is $\frac{1}{2}$, between $\frac{1}{2}$ and 1 is $\frac{1}{2}$, so each interval is $\frac{1}{2}$.
Step2: Locate point S
Point S is between 1 and 2. The midpoint between 1 and 2 is $1 + \frac{1}{2}=1\frac{1}{2}$. So S is at $1\frac{1}{2}$.
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$1\frac{1}{2}$ (corresponding to the option $1\frac{1}{2}$)