Question

1. use a number line to help order rational numbers.

a. plot and label points $p\left(-\frac{5}{2}\
ight)$, $q\left(2\frac{3}{4}\
ight)$, $r(1.25)$, and $s(-3.5)$ on the number line.
b. use the number line to order $-\frac{5}{2}$, $2\frac{3}{4}$, $1.25$, and $-3.5$ from least to greatest.

Explanation:

Step1: Convert to decimal form

$-\frac{5}{2} = -2.5$, $2\frac{3}{4} = 2.75$

Step2: Plot points on number line

• $S(-3.5)$: Left of -3, halfway to -4
• $P(-2.5)$: Midpoint of -2 and -3
• $R(1.25)$: Between 1 and 1.5
• $Q(2.75)$: Between 2 and 3, closer to 3

Step3: Order from left to right

Leftmost (smallest) to rightmost (largest)

Answer:

a. (Number line plot description: Mark $S$ at -3.5, $P$ at -2.5, $R$ at 1.25, $Q$ at 2.75 on the provided number line with ticks for integers -5 to 5.)
b. $-3.5, -\frac{5}{2}, 1.25, 2\frac{3}{4}$