Question 462552


Tips:

    When working with rules for positive and negative numbers, try and think of weight loss, or poker games, or baying items  to help solidify 'what this works'.
    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.

with positive and negative numbers (integers) you can do: adding, subtracting, multiplying and dividing

Adding Rules:

Positive + Positive = Positive 
5 + 4 = 9 

Negative + Negative = Negative

 (- 7) + (- 2) = - 9 

Sum of a negative and a positive number: Use the sign of the larger number and subtract

(- 7) + 4 = -3

Subtracting Rules:

Negative - Positive = Negative

(- 5) - 3 = -5 + (-3) = -8

Positive - Negative = Positive + Positive = Positive

 5 - (-3) = 5 + 3 = 8
Negative - Negative = Negative + Positive = Use the sign of the larger number and subtract (Change double negatives to a positive)

(-5) - (-3) = ( -5) + 3 = -2
(-3) - ( -5) = (-3) + 5 = 2

Multiplying Rules:

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 Rules:

Positive ÷ Positive = Positive
 12 ÷ 3 = 4
Negative ÷ Negative = Positive
(-12) ÷ (-3) = 4
Negative ÷ Positive = Negative
 (-12) ÷ 3 = -4
Positive ÷ Negative = Negative
 12 ÷ (-3) = -4