select the number line model that matches the expression |1/4 - 5/4|. choose 1 answer:

Explanation:

Step1: Calculate the value inside the absolute - value

Subtract the fractions: $\frac{1}{4}-\frac{5}{4}=\frac{1 - 5}{4}=\frac{-4}{4}=-1$.

Step2: Calculate the absolute - value

The absolute value of $\frac{-4}{4}$ is $\left|\frac{-4}{4}\right| = 1$. On the number - line, we need to find the distance between $\frac{1}{4}$ and $\frac{5}{4}$. The distance between two numbers $a$ and $b$ on the number - line is $|a - b|$. Here, $a=\frac{1}{4}$ and $b = \frac{5}{4}$, and the distance is $\left|\frac{1}{4}-\frac{5}{4}\right|$. We are looking for a number - line model that shows the distance between $\frac{1}{4}$ and $\frac{5}{4}$. $\frac{1}{4}$ is to the right of $0$ and $\frac{5}{4}$ is also to the right of $0$, and the distance between them is $1$ (or $\frac{4}{4}$ units). The number - line model that shows the distance between $\frac{1}{4}$ and $\frac{5}{4}$ is the one where the two points are marked at $\frac{1}{4}$ and $\frac{5}{4}$ and the arc shows the distance between them.

Answer:

A.