Rules for Operations on Integers

Adding Integers

  • If the signs of the two integers are the same, add the absolute values of the integers and give the sum the common sign.

  • If the signs of the two integers are different, subtract the absolute values of the integers, larger absolute value minus smaller absolute value, and give the difference the sign of the number that is larger in absolute value.

Subtracting Integers

  • To subtract two integers add the first to the opposite of the second.

Multiplying Integers

  • The product of two integers with the same sign will be positive.

  • The product of two integers with opposite signs will be negative.

Dividing Integers

  • The quotient of two integers with the same sign will be positive.

  • The quotient of two integers with opposite signs will be negative.