To order the expressions from greatest to least, we can first convert each expression to improper fractions or compare them more directly.
- 10 7/9 = 10 + 7/9 = 10.777...
- -9 8/9 = -9 - 8/9 = -9.888...
- -10 4/9 = -10 - 4/9 = -10.444...
- -10 5/9 = -10 - 5/9 = -10.555...
- -10 8/9 = -10 - 8/9 = -10.888...
Now, ordering these from greatest to least:
- 10 7/9 (10.777...)
- -9 8/9 (-9.888...)
- -10 4/9 (-10.444...)
- -10 5/9 (-10.555...)
- -10 8/9 (-10.888...)
So the final order from greatest to least is:
- 10 7/9
- -9 8/9
- -10 4/9
- -10 5/9
- -10 8/9