Question

Enter numbers to evaluate ‐13−23.

Answer 1

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)

= -36

Case 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)