Solve Division Problem: -400 ÷ (-7-13+10) with Order of Operations

Question

Solve the following problem:

$-400:(-7-13+10)=$

00:00 Solve

00:03 Let's solve according to correct order of operations

00:07 Always calculate parentheses first

00:13 Let's substitute in our exercise and continue solving

00:18 Negative divided by negative always equals positive

00:26 Let's write division as a fraction

00:30 And this is the solution to the question

First, let's solve the expression in parentheses from left to right:

$-7-13=-20$

$-20+10=-10$

Now the expression we have is:

$-400:-10=$

Let's note that we are dividing two negative numbers, so the result must be a positive number:

$\frac{-}{-}=+$

Therefore:

$\frac{400}{10}=40$

$+40$