Question

i can order rational numbers.

1. order the following numbers on the open number line below.

a: (-8\frac{1}{2}) b: 6.75 c: (\frac{47}{9}) d: (6\frac{1}{4}) e: -7.2

Explanation:

Step1: Convert all to decimals

A: $-8\frac{1}{2} = -8.5$, B: $6.75$, C: $\frac{47}{9} \approx 5.22$, D: $8\frac{1}{4} = 8.25$, E: $-7.2$

Step2: Sort from smallest to largest

Compare decimal values: $-8.5 < -7.2 < 5.22 < 6.75 < 8.25$

Step3: Map back to original labels

Match sorted decimals to their identifiers

Answer:

(Left to right on number line) A: $-8\frac{1}{2}$, E: $-7.2$, C: $\frac{47}{9}$, B: $6.75$, D: $8\frac{1}{4}$