Solve {l}{0.700}{1.509}{0.305}{1.004}{0.962}{0.669}{1.706}{0.250}{0.587}{0.150}{0.150}{0.408}

$$\left. \begin{array} { l } { 0.700 } \\ { 1.509 } \\ { 0.305 } \\ { 1.004 } \\ { 0.962 } \\ { 0.669 } \\ { 1.706 } \\ { 0.250 } \\ { 0.587 } \\ { 0.150 } \\ { 0.150 } \\ { 0.408 } \end{array} \right.$$

Sort

$$0.15,0.15,0.25,0.305,0.408,0.587,0.669,0.7,0.962,1.004,1.509,1.706$$

Solution Steps

To sort the list, start from a single element 0.7.

$$0.7$$

Insert 1.509 to the appropriate location in the new list.

$$0.7,1.509$$

Insert 0.305 to the appropriate location in the new list.

$$0.305,0.7,1.509$$

Insert 1.004 to the appropriate location in the new list.

$$0.305,0.7,1.004,1.509$$

Insert 0.962 to the appropriate location in the new list.

$$0.305,0.7,0.962,1.004,1.509$$

Insert 0.669 to the appropriate location in the new list.

$$0.305,0.669,0.7,0.962,1.004,1.509$$

Insert 1.706 to the appropriate location in the new list.

$$0.305,0.669,0.7,0.962,1.004,1.509,1.706$$

Insert 0.25 to the appropriate location in the new list.

$$0.25,0.305,0.669,0.7,0.962,1.004,1.509,1.706$$

Insert 0.587 to the appropriate location in the new list.

$$0.25,0.305,0.587,0.669,0.7,0.962,1.004,1.509,1.706$$

Insert 0.15 to the appropriate location in the new list.

$$0.15,0.25,0.305,0.587,0.669,0.7,0.962,1.004,1.509,1.706$$

Insert 0.15 to the appropriate location in the new list.

$$0.15,0.15,0.25,0.305,0.587,0.669,0.7,0.962,1.004,1.509,1.706$$

Insert 0.408 to the appropriate location in the new list.

$$0.15,0.15,0.25,0.305,0.408,0.587,0.669,0.7,0.962,1.004,1.509,1.706$$

Evaluate

$$0.7,\ 1.509,\ 0.305,\ 1.004,\ 0.962,\ 0.669,\ 1.706,\ 0.25,\ 0.587,\ 0.15,\ 0.15,\ 0.408$$