Solve {l}{9-(-4)}{-9-(-4)}{-9-4}{4-(-9)}{-4-(-9)}{-4-9}

$$\left. \begin{array} { l } { 9 - ( - 4 ) } \\ { - 9 - ( - 4 ) } \\ { - 9 - 4 } \\ { 4 - ( - 9 ) } \\ { - 4 - ( - 9 ) } \\ { - 4 - 9 } \end{array} \right.$$

Sort

$$-13,-13,-5,5,13,13$$

Solution Steps

The opposite of -4 is 4.

$$sort(9+4,-9-\left(-4\right),-9-4,4-\left(-9\right),-4-\left(-9\right),-4-9)$$

Add 9 and 4 to get 13.

$$sort(13,-9-\left(-4\right),-9-4,4-\left(-9\right),-4-\left(-9\right),-4-9)$$

The opposite of -4 is 4.

$$sort(13,-9+4,-9-4,4-\left(-9\right),-4-\left(-9\right),-4-9)$$

Add -9 and 4 to get -5.

$$sort(13,-5,-9-4,4-\left(-9\right),-4-\left(-9\right),-4-9)$$

Subtract 4 from -9 to get -13.

$$sort(13,-5,-13,4-\left(-9\right),-4-\left(-9\right),-4-9)$$

The opposite of -9 is 9.

$$sort(13,-5,-13,4+9,-4-\left(-9\right),-4-9)$$

Add 4 and 9 to get 13.

$$sort(13,-5,-13,13,-4-\left(-9\right),-4-9)$$

The opposite of -9 is 9.

$$sort(13,-5,-13,13,-4+9,-4-9)$$

Add -4 and 9 to get 5.

$$sort(13,-5,-13,13,5,-4-9)$$

Subtract 9 from -4 to get -13.

$$sort(13,-5,-13,13,5,-13)$$

To sort the list, start from a single element 13.

$$13$$

Insert -5 to the appropriate location in the new list.

$$-5,13$$

Insert -13 to the appropriate location in the new list.

$$-13,-5,13$$

Insert 13 to the appropriate location in the new list.

$$-13,-5,13,13$$

Insert 5 to the appropriate location in the new list.

$$-13,-5,5,13,13$$

Insert -13 to the appropriate location in the new list.

$$-13,-13,-5,5,13,13$$

Evaluate

$$13,\ -5,\ -13,\ 13,\ 5,\ -13$$