a. Add 13 and 10:
As they have the same sign (both positives) you have an addition:
[tex]13+10=23[/tex]b. Add (-8) and (-12):
As they have the same sign (both negatives) it is an addition too (the result will have the same negative sign):
[tex](-8)+(-12)=-20[/tex]c. Add (-5) and 4:
As they have different signs, (one negative and one positive) it is a subtraction, the result will have the sign of the greates number:
[tex](-5)+4=-1[/tex]d. Add 7 and (-3):
As they have different signs (one positive and one negative) it is a subtraction. The result has the sign of the greatest number:
[tex]7+(-3)=4[/tex]