Solve -4-((-14)+(-23)): Order of Operations with Negative Numbers

Question

$-4-((-14)+(-23))=$

00:00 Solve

00:03 Always solve parentheses first

00:06 Note, positive times negative will always be negative

00:12 Let's solve the parentheses first

00:22 Note, negative times negative will always be positive

00:28 And this is the solution to the question

According to the order of operations, first we solve the exercise within parentheses:

Remember that the product of a positive and a negative results in a negative, therefore:

$+(-23)=-23$

Now we obtain:

$-4-(-14-23)=$

We solve the exercise within parentheses:

$-4-(-37)=$

Remember that the product of a negative and a negative results in a positive, therefore:

$-(-37)=+37$

Now we obtain the exercise:

$-4+37=33$

$33$