1. The problem is to plot the mixed numbers $-1 \frac{1}{2}$ and $2 \frac{1}{4}$ on a number line ranging from $-3$ to $3$. 2. First, convert the mixed numbers to improper fractions or decimals for easier plotting. - $-1 \frac{1}{2} = -\left(1 + \frac{1}{2}\right) = -\frac{3}{2} = -1.5$ - $2 \frac{1}{4} = 2 + \frac{1}{4} = \frac{9}{4} = 2.25$ 3. On the number line: - $-1.5$ lies halfway between $-1$ and $-2$. - $2.25$ lies a quarter of the way between $2$ and $3$. 4. To plot: - Mark a point at $-1.5$ between $-1$ and $-2$. - Mark a point at $2.25$ between $2$ and $3$. This shows the exact positions of the numbers on the number line.