Question

put these numbers in order from greatest to least.\\(\frac{4}{5}\\) 0.09 0.89

Explanation:

Step1: Convert fraction to decimal

To compare the numbers, we first convert \(\frac{4}{5}\) to a decimal. We know that \(\frac{4}{5}=4\div5 = 0.8\).

Step2: Compare the decimals

Now we have three decimals: \(0.8\) (from \(\frac{4}{5}\)), \(0.09\), and \(0.89\).
Comparing the tenths place: \(0.89\) has \(8\) in the tenths place, \(0.8\) has \(8\) in the tenths place, and \(0.09\) has \(0\) in the tenths place. So \(0.09\) is the smallest.
Then comparing the hundredths place of \(0.89\) and \(0.8\): \(0.89\) has \(9\) in the hundredths place and \(0.8\) (which is \(0.80\)) has \(0\) in the hundredths place. So \(0.89>0.8\).
So the order from greatest to least is \(0.89\), \(\frac{4}{5}\) (which is \(0.8\)), and \(0.09\).

Answer:

\(0.89\), \(\frac{4}{5}\), \(0.09\)