Solve 9-((-9)+(-4)): Order of Operations with Negative Numbers

Question

$9-((-9)+(-4))=$

00:00 Solve

00:05 Note, positive times negative will always be negative

00:12 Always solve 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, we first address the second parentheses:

Remember that a product of addition and subtraction results in a negative outcome, therefore:

$+(-4)=-4$

The exercise obtained is:

$9-(-9-4)=$

Now we solve the exercise within parentheses:

$(-9-4)=-13$

The exercise obtained is:

$9-(-13)=$

Remember that a product of addition and addition results in a positive outcome, therefore:

$-(-13)=+13$

$9+13=22$

$22$