RULES FOR ADDING INTEGERS WITH THE SAME SIGNS

EXAMPLE 1: (-2) + (-5) = _____ Both numbers are negative. To find the answer, add the numbers together (2+5) and give the answer a negative sign.

EXAMPLE 2: 3 + 4 = _____ Both numbers are positive, so the answer is positive.

RULES FOR ADDING INTEGERS WITH DIFFERENT SIGNS

1. Ignore the signs and find the difference.

2. Give the answer the sign of the larger number

EXAMPLE 1: (-4) + 6 = _____ To find the difference, take the larger number minus the smaller number. 6 – 4 = 2. Looking back at the original problem, the larger number, 6, is positive, so the answer is positive.

EXAMPLE 2: 3 + (-7) = _____ Find the difference. 7 – 3 = 4 Looking at the problem, the larger number, 7, is a negative number, so the answer is negative.

RULES FOR SUBTRACTING INTEGERS

1. Change the subtraction sign to addition.

2. Change the sign of the second number to the opposite sign.

3. Follow the rules for adding integers.

EXAMPLE 1: -6 – (-2) = _____ Change the subtraction sign to addition and change -2 to 2. -6 – (-2) = -6 + 2

EXAMPLE 2: 5 – 6 = _____ Change the subtraction sign to addition and change 6 to -6. 5 – 6 = 5 + (-6)

RULES FOR MULTIPLYING AND DIVIDING INTEGERS

1. If the numbers have the same sign, the answer is positive.

2. If the numbers have different signs, the answer is negative.

EXAMPLES: 6 X 8 = 48 (-6) X 8 = -48 (-6) X (-8) = 48

48 6 = 8 (-48) 6 = -8 (-48) (-6) = 48