Solve {l}{(+4)+(-3)(-2)}{(-5)(-4)div(-2)}{(-18)div(+3)+(-11)}{(-6)(0)div(-4)}{(+11)-(+9)div(-3)}{(-21)div(+7)(-5)}{(-1)(-8)div(+2)}

$$\left. \begin{array} { l } { ( + 4 ) + ( - 3 ) ( - 2 ) } \\ { ( - 5 ) ( - 4 ) \div ( - 2 ) } \\ { ( - 18 ) \div ( + 3 ) + ( - 11 ) } \\ { ( - 6 ) ( 0 ) \div ( - 4 ) } \\ { ( + 11 ) - ( + 9 ) \div ( - 3 ) } \\ { ( - 21 ) \div ( + 7 ) ( - 5 ) } \\ { ( - 1 ) ( - 8 ) \div ( + 2 ) } \end{array} \right.$$

Sort

$$-17,-10,0,4,10,14,15$$

Solution Steps

Multiply -3 and -2 to get 6.

$$sort(4+6,\frac{-5\left(-4\right)}{-2},\frac{-18}{3}-11,\frac{-6\times 0}{-4},11-\frac{9}{-3},\frac{-21}{7}\left(-5\right),\frac{-\left(-8\right)}{2})$$

Add 4 and 6 to get 10.

$$sort(10,\frac{-5\left(-4\right)}{-2},\frac{-18}{3}-11,\frac{-6\times 0}{-4},11-\frac{9}{-3},\frac{-21}{7}\left(-5\right),\frac{-\left(-8\right)}{2})$$

Multiply -5 and -4 to get 20.

$$sort(10,\frac{20}{-2},\frac{-18}{3}-11,\frac{-6\times 0}{-4},11-\frac{9}{-3},\frac{-21}{7}\left(-5\right),\frac{-\left(-8\right)}{2})$$

Divide 20 by -2 to get -10.

$$sort(10,-10,\frac{-18}{3}-11,\frac{-6\times 0}{-4},11-\frac{9}{-3},\frac{-21}{7}\left(-5\right),\frac{-\left(-8\right)}{2})$$

Divide -18 by 3 to get -6.

$$sort(10,-10,-6-11,\frac{-6\times 0}{-4},11-\frac{9}{-3},\frac{-21}{7}\left(-5\right),\frac{-\left(-8\right)}{2})$$

Subtract 11 from -6 to get -17.

$$sort(10,-10,-17,\frac{-6\times 0}{-4},11-\frac{9}{-3},\frac{-21}{7}\left(-5\right),\frac{-\left(-8\right)}{2})$$

Multiply -6 and 0 to get 0.

$$sort(10,-10,-17,\frac{0}{-4},11-\frac{9}{-3},\frac{-21}{7}\left(-5\right),\frac{-\left(-8\right)}{2})$$

Zero divided by any non-zero number gives zero.

$$sort(10,-10,-17,0,11-\frac{9}{-3},\frac{-21}{7}\left(-5\right),\frac{-\left(-8\right)}{2})$$

Divide 9 by -3 to get -3.

$$sort(10,-10,-17,0,11-\left(-3\right),\frac{-21}{7}\left(-5\right),\frac{-\left(-8\right)}{2})$$

The opposite of -3 is 3.

$$sort(10,-10,-17,0,11+3,\frac{-21}{7}\left(-5\right),\frac{-\left(-8\right)}{2})$$

Add 11 and 3 to get 14.

$$sort(10,-10,-17,0,14,\frac{-21}{7}\left(-5\right),\frac{-\left(-8\right)}{2})$$

Divide -21 by 7 to get -3.

$$sort(10,-10,-17,0,14,-3\left(-5\right),\frac{-\left(-8\right)}{2})$$

Multiply -3 and -5 to get 15.

$$sort(10,-10,-17,0,14,15,\frac{-\left(-8\right)}{2})$$

Multiply -1 and -8 to get 8.

$$sort(10,-10,-17,0,14,15,\frac{8}{2})$$

Divide 8 by 2 to get 4.

$$sort(10,-10,-17,0,14,15,4)$$

To sort the list, start from a single element 10.

$$10$$

Insert -10 to the appropriate location in the new list.

$$-10,10$$

Insert -17 to the appropriate location in the new list.

$$-17,-10,10$$

Insert 0 to the appropriate location in the new list.

$$-17,-10,0,10$$

Insert 14 to the appropriate location in the new list.

$$-17,-10,0,10,14$$

Insert 15 to the appropriate location in the new list.

$$-17,-10,0,10,14,15$$

Insert 4 to the appropriate location in the new list.

$$-17,-10,0,4,10,14,15$$

Evaluate

$$10,\ -10,\ -17,\ 0,\ 14,\ 15,\ 4$$