Solve {c}{54.1}{1.0}{11.7}{3.3}{10.3}{2.2}{2.0}{30.7}{52.2}{16.2}{11.8}{3.8}{0.5}{0.0}

$$\left. \begin{array} { c } { 54.1 } \\ { 1.0 } \\ { 11.7 } \\ { 3.3 } \\ { 10.3 } \\ { 2.2 } \\ { 2.0 } \\ { 30.7 } \\ { 52.2 } \\ { 16.2 } \\ { 11.8 } \\ { 3.8 } \\ { 0.5 } \\ { 0.0 } \end{array} \right.$$

Sort

$$0,0.5,1,2,2.2,3.3,3.8,10.3,11.7,11.8,16.2,30.7,52.2,54.1$$

Solution Steps

To sort the list, start from a single element 54.1.

$$54.1$$

Insert 1 to the appropriate location in the new list.

$$1,54.1$$

Insert 11.7 to the appropriate location in the new list.

$$1,11.7,54.1$$

Insert 3.3 to the appropriate location in the new list.

$$1,3.3,11.7,54.1$$

Insert 10.3 to the appropriate location in the new list.

$$1,3.3,10.3,11.7,54.1$$

Insert 2.2 to the appropriate location in the new list.

$$1,2.2,3.3,10.3,11.7,54.1$$

Insert 2 to the appropriate location in the new list.

$$1,2,2.2,3.3,10.3,11.7,54.1$$

Insert 30.7 to the appropriate location in the new list.

$$1,2,2.2,3.3,10.3,11.7,30.7,54.1$$

Insert 52.2 to the appropriate location in the new list.

$$1,2,2.2,3.3,10.3,11.7,30.7,52.2,54.1$$

Insert 16.2 to the appropriate location in the new list.

$$1,2,2.2,3.3,10.3,11.7,16.2,30.7,52.2,54.1$$

Insert 11.8 to the appropriate location in the new list.

$$1,2,2.2,3.3,10.3,11.7,11.8,16.2,30.7,52.2,54.1$$

Insert 3.8 to the appropriate location in the new list.

$$1,2,2.2,3.3,3.8,10.3,11.7,11.8,16.2,30.7,52.2,54.1$$

Insert 0.5 to the appropriate location in the new list.

$$0.5,1,2,2.2,3.3,3.8,10.3,11.7,11.8,16.2,30.7,52.2,54.1$$

Insert 0 to the appropriate location in the new list.

$$0,0.5,1,2,2.2,3.3,3.8,10.3,11.7,11.8,16.2,30.7,52.2,54.1$$

Evaluate

$$54.1,\ 1,\ 11.7,\ 3.3,\ 10.3,\ 2.2,\ 2,\ 30.7,\ 52.2,\ 16.2,\ 11.8,\ 3.8,\ 0.5,\ 0$$