To order the given numbers from least to greatest, we compare them numerically:
Negative 4.5 repeating = -4.5...
Negative four and one fifth = -4.2
Square root of 20 ≈ 4.47
Twenty-three fifths = 4.6
Arranging them from least to greatest, the order is:
Negative 4.5 repeating < Negative four and one fifth < Square root of 20 < Twenty-three fifths
In summary:
-4.5... < -4.2 < √20 < 23/5
~~~Harsha~~~