Question

put these numbers in order from least to greatest.
10.56
8.11
\frac{81}{8}
9.01

Explanation:

Step 1: Convert fraction to decimal

To compare \(\frac{81}{8}\) with the decimals, we divide 81 by 8. \(\frac{81}{8}=81\div8 = 10.125\)

Step 2: Compare the decimals

Now we have the numbers: 10.56, 8.11, 10.125, 9.01.
We compare the whole number parts first. 8 is less than 9 and 10. So 8.11 is the smallest.
Next, among 9.01, 10.125, and 10.56. 9.01 is less than 10.125 and 10.56.
Then, between 10.125 (\(\frac{81}{8}\)) and 10.56, 10.125 is less than 10.56.

Answer:

\(8.11, 9.01, \frac{81}{8}, 10.56\)