Rules for Integer Operations
I. Addition
A. If you are adding and the signs are the same: add and keep the sign.
B. If you are adding and the signs are different: subtract and keep the sign of the larger.
II. Subtraction {In general, subtracting is equal to adding the opposite}
A. Subtracting (a positive) is equal to adding the negative.
B. Subtracting a negative is equal to adding the positive.
III. Multiplication / Division {First, you simply multiply (or divide) the digits and then …}
A. If the signs are the same: the product (or quotient) will be positive.
B. If the signs are different: the product (or quotient) will be negative.