Question

put these numbers in order from greatest to least. 3.52, 2.05, 2.06, 5/2

Explanation:

Step1: Convert fraction to decimal

To compare the numbers, we first convert the fraction $\frac{5}{2}$ to a decimal. We know that $\frac{5}{2} = 5\div2 = 2.5$.

Step2: Compare the decimals

Now we have the numbers: $3.52$, $2.05$, $2.06$, and $2.5$.

• Comparing the whole number parts: $3.52$ has a whole number part of $3$, while the others have a whole number part of $2$. So $3.52$ is the largest so far.
• For the remaining numbers with whole number part $2$: $2.5$ (which is $2.50$), $2.06$, and $2.05$.
• Comparing the tenths place: $2.50$ has a tenths digit of $5$, while $2.06$ and $2.05$ have a tenths digit of $0$. So $2.5$ (or $\frac{5}{2}$) is the next largest.
• Comparing $2.06$ and $2.05$: The hundredths place of $2.06$ is $6$ and of $2.05$ is $5$. So $2.06$ is larger than $2.05$.

Answer:

$3.52$, $\frac{5}{2}$, $2.06$, $2.05$