Solve {l}{2.5}{13.6}{12.1}{3.4}{21.8}{12.0}{2.7}{7.1}{0.9}{8.0}{27.9}{14.9}{15.9}{2.0}{0.0}

$$\left. \begin{array} { l } { 2.5 } \\ { 13.6 } \\ { 12.1 } \\ { 3.4 } \\ { 21.8 } \\ { 12.0 } \\ { 2.7 } \\ { 7.1 } \\ { 0.9 } \\ { 8.0 } \\ { 27.9 } \\ { 14.9 } \\ { 15.9 } \\ { 2.0 } \\ { 0.0 } \end{array} \right.$$

Sort

$$0,0.9,2,2.5,2.7,3.4,7.1,8,12,12.1,13.6,14.9,15.9,21.8,27.9$$

Solution Steps

To sort the list, start from a single element 2.5.

$$2.5$$

Insert 13.6 to the appropriate location in the new list.

$$2.5,13.6$$

Insert 12.1 to the appropriate location in the new list.

$$2.5,12.1,13.6$$

Insert 3.4 to the appropriate location in the new list.

$$2.5,3.4,12.1,13.6$$

Insert 21.8 to the appropriate location in the new list.

$$2.5,3.4,12.1,13.6,21.8$$

Insert 12 to the appropriate location in the new list.

$$2.5,3.4,12,12.1,13.6,21.8$$

Insert 2.7 to the appropriate location in the new list.

$$2.5,2.7,3.4,12,12.1,13.6,21.8$$

Insert 7.1 to the appropriate location in the new list.

$$2.5,2.7,3.4,7.1,12,12.1,13.6,21.8$$

Insert 0.9 to the appropriate location in the new list.

$$0.9,2.5,2.7,3.4,7.1,12,12.1,13.6,21.8$$

Insert 8 to the appropriate location in the new list.

$$0.9,2.5,2.7,3.4,7.1,8,12,12.1,13.6,21.8$$

Insert 27.9 to the appropriate location in the new list.

$$0.9,2.5,2.7,3.4,7.1,8,12,12.1,13.6,21.8,27.9$$

Insert 14.9 to the appropriate location in the new list.

$$0.9,2.5,2.7,3.4,7.1,8,12,12.1,13.6,14.9,21.8,27.9$$

Insert 15.9 to the appropriate location in the new list.

$$0.9,2.5,2.7,3.4,7.1,8,12,12.1,13.6,14.9,15.9,21.8,27.9$$

Insert 2 to the appropriate location in the new list.

$$0.9,2,2.5,2.7,3.4,7.1,8,12,12.1,13.6,14.9,15.9,21.8,27.9$$

Insert 0 to the appropriate location in the new list.

$$0,0.9,2,2.5,2.7,3.4,7.1,8,12,12.1,13.6,14.9,15.9,21.8,27.9$$

Evaluate

$$2.5,\ 13.6,\ 12.1,\ 3.4,\ 21.8,\ 12,\ 2.7,\ 7.1,\ 0.9,\ 8,\ 27.9,\ 14.9,\ 15.9,\ 2,\ 0$$