• Adding Integers
    SAME SIGN RULE:
    Positive + Positive = Positive
    5 + 4 = 9
    Negative + Negative = Negative
    (- 7) + (- 2) = - 9

    DIFFERENT SIGN RULE: Sum of a negative and a positive number: Subtract the numbers and keep the sign of the larger number.

    (- 7) + 4 = -3
    6 + (-9) = - 3

    (- 3) + 7 = 4
    5 + ( -3) = 2
     
    Subtracting Integers
     Add the opposite and follow the rules of addition:
    Negative - Positive = Negative: (- 5) - 3 = -5 + (-3) = -8
    Positive - Negative = Positive + Positive = Positive: 5 - (-3) = 5 + 3 = 8
    Negative - Negative = Negative + Positive = (Change double negatives to ADDITION or add the opposite)
    (-5) - (-3) = ( -5) + 3 = -2
    (-3) - ( -5) = (-3) + 5 = 2
     
    Multiplying Integers
    Positive x Positive = Positive: 3 x 2 = 6
    Negative x Negative = Positive: (-2) x (-8) = 16
    Negative x Positive = Negative: (-3) x 4 = -12
    Positive x Negative = Negative: 3 x (-4) = -12
     
    Dividing Integers (same rules as multiplying)
    Positive ÷ Positive = Positive: 12 ÷ 3 = 4
    Negative ÷ Negative = Positive: (-12) ÷ (-3) = 4
    Negative ÷ Positive = Negative: (-12) ÷ 3 = -4
    Positive ÷ Negative = Negative: 12 ÷ (-3) = -4

    Tips:

    1. When working with rules for positive (black) and negative (red) numbers, try and think of bank accounts or poker chips to help.
    2. Using a number line showing both sides of 0 is very helpful to help develop the understanding of working with positive and negative numbers/integers.

    9/17/2021