Integer Rules

ADDING
Adding a positive and a positive or a negative and a negative
When adding two numbers with the same sign add like normal and take the sign of the numbers.
+3 + +3 = + 6 -3 + -3 = -6

Adding a positive and a negative or a negative and a positive
Take the sign of the number further from zero, that will be your sign. Then subtract like normal. Your answer is the sign and what you subtracted.
+ 3 + -6 = - 3 - 3 + +6 = + 3

SUBTRACTING
1. always change the subtraction sign to an addition sign
2. change the sign of the second number
3. Follow addition rules above
Sometimes this is referred to as keep, change, change.

1. +3 - +3 1. +3 - -3 1. -3 - +3
2. +3 + -3 2. +3 + +3 2. -3 + -3

MULTIPLYING & DIVINDING
If the signs are the same your answer is a positive
-3 * -3 = +9 +3 * +3 = +9 -3 / -3 = +1 +3 / +3 = +1
If the signs are different your answer is a negative
-3 * +3 = - 9 +3 * -3 = -9 +3 / -3 = -1 -3 / +3 = -1