Question

plot $2\frac{1}{2}$ and $1\frac{1}{6}$ on the number line below.

Explanation:

Step1: Analyze the number line

The number line has marks from 0 to 3, with each integer (0, 1, 2, 3) and divisions between them. Let's first find the length of each small division. From 0 to 1, there are 6 small divisions (since from 0 to 1, the number of intervals is 6, as we can count the ticks: 0, then 5 ticks, then 1). So each small division represents $\frac{1}{6}$.

Step2: Plot $1\frac{1}{6}$

$1\frac{1}{6}$ is $1 + \frac{1}{6}$. So starting from 1, we move 1 small division to the right (since each division is $\frac{1}{6}$). So the position of $1\frac{1}{6}$ is at the first tick to the right of 1.

Step3: Plot $2\frac{1}{2}$

First, convert $2\frac{1}{2}$ to sixths. $2\frac{1}{2}=2+\frac{3}{6}$ (since $\frac{1}{2}=\frac{3}{6}$). So starting from 2, we move 3 small divisions to the right (because each division is $\frac{1}{6}$). So the position of $2\frac{1}{2}$ is at the third tick to the right of 2.

Answer:

To plot $1\frac{1}{6}$: Move 1 tick to the right of 1.
To plot $2\frac{1}{2}$: Move 3 ticks to the right of 2. (Visually, $1\frac{1}{6}$ is near 1, one - sixth interval right; $2\frac{1}{2}$ is halfway between 2 and 3, but in terms of sixths, 3 ticks right of 2)