Question

plot $2\frac{5}{8}$ and $1\frac{1}{4}$ on the number line below.

0 1 2 3

Explanation:

Step1: Analyze the number line

The number line has marks from 0 to 3. Between 0 and 1, there are 8 small intervals (since from 0 to 1, we can count the ticks: 0, then 8 ticks to 1). So each small interval represents $\frac{1}{8}$.

Step2: Plot $1\frac{1}{4}$

First, convert $1\frac{1}{4}$ to eighths. $1\frac{1}{4}=1\frac{2}{8}$. So starting from 1, we move 2 intervals to the right (since each interval is $\frac{1}{8}$). Alternatively, from 0, 1 whole is 8 intervals, plus 2 intervals for $\frac{2}{8}$, so total 10 intervals from 0? Wait, no: $1\frac{1}{4}$ is 1 + $\frac{1}{4}$. Since each interval is $\frac{1}{8}$, $\frac{1}{4}=\frac{2}{8}$, so from 1, move 2 ticks to the right.

Step3: Plot $2\frac{5}{8}$

$2\frac{5}{8}$ is 2 wholes plus $\frac{5}{8}$. So from 2, move 5 intervals to the right (since each interval is $\frac{1}{8}$). So from 2, count 5 ticks: that's the position of $2\frac{5}{8}$.

Answer:

To plot $1\frac{1}{4}$ (which is $1\frac{2}{8}$): From the mark at 1, move 2 small tick marks to the right (since each tick is $\frac{1}{8}$). To plot $2\frac{5}{8}$: From the mark at 2, move 5 small tick marks to the right. (Visually, on the number line, $1\frac{1}{4}$ is 2 ticks after 1, and $2\frac{5}{8}$ is 5 ticks after 2.)