Question

calculate $left|\frac{1}{2}-left(-\frac{3}{2}
ight)
ight|$. choose 1 answer:

Explanation:

Answer:

First, simplify the expression \(|\frac{1}{2}-(-\frac{3}{2})|\). Subtracting a negative is the same as adding, so \(\frac{1}{2}-(-\frac{3}{2})=\frac{1 + 3}{2}=2\). Then \(|2| = 2=\frac{4}{2}\). On the number - line, this is represented by a point at \(\frac{4}{2}\).
A. The first number - line shows a distance between \(-\frac{2}{2}\) and \(\frac{2}{2}\), which is incorrect.
B. The second number - line shows a distance between \(\frac{2}{2}\) and \(\frac{4}{2}\), which is incorrect.
C. The third number - line has a point at \(\frac{4}{2}\), which is correct.
C. \(\frac{4}{2}\) (represented on the third number - line)