Answer:
To find the length of the line segment joining the points \( \frac{1}{2} \) and \( -\frac{1}{2} \) on a number line, we calculate the absolute difference between these two points.
The points are \( \frac{1}{2} \) and \( -\frac{1}{2} \).
The distance (length of the line segment) between two points \( a \) and \( b \) on a number line is given by \( |a - b| \).
So, in our case:
\[ \text{Distance} = \left| \frac{1}{2} - \left(-\frac{1}{2}\right) \right| \]
\[ \{Distance} = \left| \frac{1}{2} + \frac{1}{2} \right| \]
\[ \{Distance} = \left| 1 \right| \]
\[ \{Distance} = 1 \]
Therefore, the length of the line segment joining \( \frac{1}{2} \) and \( -\frac{1}{2} \) on the number line is \( \boxed{1} \).
Answer:
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