Solve \left. \begin{array} { l } { 4 \cdot 3 \cdot 8 \cdot 13 \cdot 2 \cdot 8 } \\ { 3 \cdot 8 \cdot 13 \cdot 12 } \\ { 3 \cdot 8 \cdot 9 \cdot 12 } \\ { 0 \cdot 9 \cdot 0 \cdot 0 } \\ { 10 - 3 } \end{array} \right.

Question

$$\left. \begin{array} { l } { 4 \cdot 3 \cdot 8 \cdot 13 \cdot 2 \cdot 8 } \\ { 3 \cdot 8 \cdot 13 \cdot 12 } \\ { 3 \cdot 8 \cdot 9 \cdot 12 } \\ { 0 \cdot 9 \cdot 0 \cdot 0 } \\ { 10 - 3 } \end{array} \right.$$

Sort

$0,7,2592,3744,19968$

Solution Steps

Multiply $4$ and $3$ to get $12$.

$$sort(12\times 8\times 13\times 2\times 8,3\times 8\times 13\times 12,3\times 8\times 9\times 12,0\times 9\times 0\times 0,10-3)$$

Multiply $12$ and $8$ to get $96$.

$$sort(96\times 13\times 2\times 8,3\times 8\times 13\times 12,3\times 8\times 9\times 12,0\times 9\times 0\times 0,10-3)$$

Multiply $96$ and $13$ to get $1248$.

$$sort(1248\times 2\times 8,3\times 8\times 13\times 12,3\times 8\times 9\times 12,0\times 9\times 0\times 0,10-3)$$

Multiply $1248$ and $2$ to get $2496$.

$$sort(2496\times 8,3\times 8\times 13\times 12,3\times 8\times 9\times 12,0\times 9\times 0\times 0,10-3)$$

Multiply $2496$ and $8$ to get $19968$.

$$sort(19968,3\times 8\times 13\times 12,3\times 8\times 9\times 12,0\times 9\times 0\times 0,10-3)$$

Multiply $3$ and $8$ to get $24$.

$$sort(19968,24\times 13\times 12,3\times 8\times 9\times 12,0\times 9\times 0\times 0,10-3)$$

Multiply $24$ and $13$ to get $312$.

$$sort(19968,312\times 12,3\times 8\times 9\times 12,0\times 9\times 0\times 0,10-3)$$

Multiply $312$ and $12$ to get $3744$.

$$sort(19968,3744,3\times 8\times 9\times 12,0\times 9\times 0\times 0,10-3)$$

Multiply $3$ and $8$ to get $24$.

$$sort(19968,3744,24\times 9\times 12,0\times 9\times 0\times 0,10-3)$$

Multiply $24$ and $9$ to get $216$.

$$sort(19968,3744,216\times 12,0\times 9\times 0\times 0,10-3)$$

Multiply $216$ and $12$ to get $2592$.

$$sort(19968,3744,2592,0\times 9\times 0\times 0,10-3)$$

Multiply $0$ and $9$ to get $0$.

$$sort(19968,3744,2592,0\times 0\times 0,10-3)$$

Multiply $0$ and $0$ to get $0$.

$$sort(19968,3744,2592,0\times 0,10-3)$$

Multiply $0$ and $0$ to get $0$.

$$sort(19968,3744,2592,0,10-3)$$

Subtract $3$ from $10$ to get $7$.

$$sort(19968,3744,2592,0,7)$$

To sort the list, start from a single element $19968$.

$$19968$$

Insert $3744$ to the appropriate location in the new list.

$$3744,19968$$

Insert $2592$ to the appropriate location in the new list.

$$2592,3744,19968$$

Insert $0$ to the appropriate location in the new list.

$$0,2592,3744,19968$$

Insert $7$ to the appropriate location in the new list.

$$0,7,2592,3744,19968$$

Show Solution

Evaluate

$19968,\ 3744,\ 2592,\ 0,\ 7$

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