Q:

Enter numbers to evaluate ‐13−23.‐13−23= ‐13 + = Enter numbers to evaluate ‐13−(‐23).‐13−(‐23)= ‐13 + =

Accepted Solution

A:
Answer:- 13 - 23 = - 13 + (-23) = -36- 13 - (- 23) = - 13 + 23 = 10 Step-by-step explanation:In any order of operation (i.e. addition, subtraction, multiplication, devision) the following rules apply for two values for instance a and b where a > b : → If +a and +b then the final sign will be + (positive) → If +a and -b then the final sign will be + (positive) since a>b → If -a and +b then the final sign will be - (negative) since a>b → If -a and -b then the final sign will be - (negative)In the given question we have two cases. Case 1: - 13 - 23 = - 13 + (-23)     → since it is given that we add a negative value of -23, therefore it keeps its sign (so this would be a negative addition i.e. adding two negative values)Thus we have:- 13 - 23 = - 13 + (-23) = -36Case 2: - 13 - (- 23) = - 13 + 23     → since we stated earlier that - and - gives positive sign (i.e. we subtract two negative values)Thus we have:- 13 - (- 23) = - 13 + 23 = 10 So we can see that: Adding two Negative values gives a Negative value (Case 1)Subtracting two Negative values gives a Positive value (Case 2)