Question

plot the numbers $-\frac{1}{4}$ and $\frac{7}{4}$ on the number line below.

Explanation:

Step1: Analyze $-\frac{1}{4}$

$-\frac{1}{4}$ is a negative fraction, between $-1$ and $0$. On the number line, the distance from $0$ to $-1$ is divided into smaller intervals. Since it's $-\frac{1}{4}$, we move $\frac{1}{4}$ unit to the left of $0$.

Step2: Analyze $\frac{7}{4}$

$\frac{7}{4}=1\frac{3}{4}$, which is between $1$ and $2$. So we move $1\frac{3}{4}$ units to the right of $0$, or $\frac{3}{4}$ units to the right of $1$.

Step3: Plot the points

Locate the position for $-\frac{1}{4}$ (left of $0$, $\frac{1}{4}$ interval) and $\frac{7}{4}$ (right of $1$, $\frac{3}{4}$ interval) on the given number line.

Answer:

To plot $-\frac{1}{4}$: Mark a point $\frac{1}{4}$ unit to the left of $0$.
To plot $\frac{7}{4}$ (or $1\frac{3}{4}$): Mark a point $\frac{3}{4}$ unit to the right of $1$ (or $1\frac{3}{4}$ units to the right of $0$) on the number line.