## Elementary Algebra

$-5$
RECALL: $a-b = a+ (-b)$ Thus, $8-13 \\= 8+(-13)$ The numbers being added have different signs. To find the sum, perform the following steps: (1) Subtract the bigger absolute value by the smaller absolute value to obtain: $|-13| - |8| = 13 - 8 = 5$ (2) The sum will have the same sign as the number with the bigger absolute value. Since $|-13| \gt |9|$, then the sum is negative. Thus, $8-13 = 8+(-13)=-5$