Adding integers follows two rules: numbers with the same sign are added and keep the sign, numbers with different signs are subtracted and take the sign of the number with the higher absolute value. Subtracting integers has one rule - rewrite the problem as an addition problem by changing the subtraction sign to a negative sign. Multiplying and dividing integers results in a positive answer if the numbers have the same sign and a negative answer if the numbers have different signs.

1. Integer Rules
Adding Integers
SAME SIGN: Just Add Keep the sign
For example: 7 + 8=15 and -7 + -8 = -15
DIFFERENT SIGNS:Subtract take the sign of the
higher number (the number with the highest absolute
value)
For example: 8 + (-14) = -6 and -6 + 14 = 8
Subtracting Integers
There is only one rule: Add the opposite
For example: 10 – (12)
(Rewrite the problem) 10 + (-12)
(Use addition rule) = -2
Multiplying and Dividing Integers
Same Signs: The answer is Positive
Different Signs: The answer is Negative
For Example: 6 x 7 = 42; 42 ÷ 6 = 7

2. -6 x -7 = 42; -42 ÷ -6 = 7
-7 x 6 = -42; 42 ÷ -6 = -7