Solve {l}{text{1.0.123,1.230,0.0123,0.1203,12.3}}{text{2.5.001,5001,0.051,0.0051}}

$$\left. \begin{array} { l } { \text { 1. 0.123, 1.230, 0.0123,0.1203, 12.3 } } \\ { \text { 2. 5.001, 5001, 0.051, 0.0051 } } \end{array} \right.$$

Sort

$$0.0051,0.0123,0.051,0.1203,0.123,1.23,10.002,12.3,5001$$

Solution Steps

Multiply 1 and 0.123 to get 0.123.

$$sort(0.123,1.23,0.0123,0.1203,12.3,2\times 5.001,5001,0.051,0.0051)$$

Multiply 2 and 5.001 to get 10.002.

$$sort(0.123,1.23,0.0123,0.1203,12.3,10.002,5001,0.051,0.0051)$$

To sort the list, start from a single element 0.123.

$$0.123$$

Insert 1.23 to the appropriate location in the new list.

$$0.123,1.23$$

Insert 0.0123 to the appropriate location in the new list.

$$0.0123,0.123,1.23$$

Insert 0.1203 to the appropriate location in the new list.

$$0.0123,0.1203,0.123,1.23$$

Insert 12.3 to the appropriate location in the new list.

$$0.0123,0.1203,0.123,1.23,12.3$$

Insert 10.002 to the appropriate location in the new list.

$$0.0123,0.1203,0.123,1.23,10.002,12.3$$

Insert 5001 to the appropriate location in the new list.

$$0.0123,0.1203,0.123,1.23,10.002,12.3,5001$$

Insert 0.051 to the appropriate location in the new list.

$$0.0123,0.051,0.1203,0.123,1.23,10.002,12.3,5001$$

Insert 0.0051 to the appropriate location in the new list.

$$0.0051,0.0123,0.051,0.1203,0.123,1.23,10.002,12.3,5001$$

Evaluate

$$0.123,\ 1.23,\ 0.0123,\ 0.1203,\ 12.3,\ 10.002,\ 5001,\ 0.051,\ 0.0051$$