## Elementary Algebra

$-3$
The numbers being added have different signs. To add these numbers, perform the following steps: (1) Subtract the bigger absolute value by the smaller absolute value to obtain: $|-10| - |7| = 10-7 = 3$ (2) The sum will have the same sign as the number with the bigger absolute value. Since $|-10| \gt |7|$, then the sum will be negative. Thus, $7+(-10) = -3$