Question

Can someone explain to me the rules of adding and subtracting negative numbers

Answer 1

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
6 + (-9) = - 3
(- 3) + 7 = 4
5 + ( -3) = 2

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
Hope this helps

Answer 2

\[\Large \color{MidnightBlue}{\Rightarrow -x - (-y) = -x + y }\]
\[\Large \color{MidnightBlue}{\Rightarrow -x + (-y) = -x - y }\]

Goes like this.

Answer 3

You asked for only negative numbers, so here it is.

Answer 4

Also,

\[\Large \color{MidnightBlue}{\Rightarrow x - y = -(y - x) }\]

Answer 5

if you add two negatives together, you get a smaller number
positive+negitive =positive-positive
negitive -negitive=positive - negitive
positive - negitive=positive +positive
negitive -positive=negitive+negitive

Answer 6

I gave you both

Answer 7

I keep going overboard on my explanations