Solve {l}{500*7}{100*103}{50*37}{10*61}{5*4}{2*1}{1*13}

$$\left. \begin{array} { l } { 500 \times 7 } \\ { 100 \times 103 } \\ { 50 \times 37 } \\ { 10 \times 61 } \\ { 5 \times 4 } \\ { 2 \times 1 } \\ { 1 \times 13 } \end{array} \right.$$

Sort

$$2,13,20,610,1850,3500,10300$$

Solution Steps

Multiply 500 and 7 to get 3500.

$$sort(3500,100\times 103,50\times 37,10\times 61,5\times 4,2\times 1,1\times 13)$$

Multiply 100 and 103 to get 10300.

$$sort(3500,10300,50\times 37,10\times 61,5\times 4,2\times 1,1\times 13)$$

Multiply 50 and 37 to get 1850.

$$sort(3500,10300,1850,10\times 61,5\times 4,2\times 1,1\times 13)$$

Multiply 10 and 61 to get 610.

$$sort(3500,10300,1850,610,5\times 4,2\times 1,1\times 13)$$

Multiply 5 and 4 to get 20.

$$sort(3500,10300,1850,610,20,2\times 1,1\times 13)$$

Multiply 2 and 1 to get 2.

$$sort(3500,10300,1850,610,20,2,1\times 13)$$

Multiply 1 and 13 to get 13.

$$sort(3500,10300,1850,610,20,2,13)$$

To sort the list, start from a single element 3500.

$$3500$$

Insert 10300 to the appropriate location in the new list.

$$3500,10300$$

Insert 1850 to the appropriate location in the new list.

$$1850,3500,10300$$

Insert 610 to the appropriate location in the new list.

$$610,1850,3500,10300$$

Insert 20 to the appropriate location in the new list.

$$20,610,1850,3500,10300$$

Insert 2 to the appropriate location in the new list.

$$2,20,610,1850,3500,10300$$

Insert 13 to the appropriate location in the new list.

$$2,13,20,610,1850,3500,10300$$

Evaluate

$$3500,\ 10300,\ 1850,\ 610,\ 20,\ 2,\ 13$$