Question

put these numbers in order from greatest to least. 6, $-\frac{10}{20}$, 0.5, $-6\frac{6}{10}$, $\frac{32}{40}$

Explanation:

Step1: Simplify all fractions

$-\frac{10}{20} = -0.5$, $\frac{32}{40} = 0.8$, $-6\frac{6}{10} = -6.6$

Step2: List all numbers as decimals

$6$, $-0.5$, $0.5$, $-6.6$, $0.8$

Step3: Sort from greatest to least

Compare values: $6 > 0.8 > 0.5 > -0.5 > -6.6$

Step4: Map back to original numbers

Replace decimals with original forms: $6$, $\frac{32}{40}$, $0.5$, $-\frac{10}{20}$, $-6\frac{6}{10}$

Answer:

$6$, $\frac{32}{40}$, $0.5$, $-\frac{10}{20}$, $-6\frac{6}{10}$