Question

plot the numbers $-2 \frac{1}{2}$ and $2 \frac{3}{4}$ on the number line below.
number line from -3 to 3 with ticks

Explanation:

Step1: Convert to improper fractions

$-2\frac{1}{2} = -\frac{5}{2}$, $2\frac{3}{4} = \frac{11}{4}$

Step2: Locate $-2\frac{1}{2}$ on number line

It is halfway between $-2$ and $-3$.

Step3: Locate $2\frac{3}{4}$ on number line

It is 3/4 of the way from $2$ to $3$.

Answer:

1. For $-2\frac{1}{2}$: Mark a point exactly halfway between the labeled ticks for $-2$ and $-3$ on the number line.
2. For $2\frac{3}{4}$: Mark a point that is three-quarters of the distance from the labeled tick for $2$ toward the labeled tick for $3$ on the number line.