Solve: (400÷(-5)-[-2(93-61)])÷4 | Order of Operations Challenge

Question

Solve the following equation:

$\frac{400\colon(-5)-\lbrack-2(93-61)\rbrack}{4}=$

00:13 Let's begin and think about the steps we'll follow.

00:17 Remember, always calculate the parts in parentheses first.

00:53 When you multiply two negative numbers, you get a positive result.

00:59 Multiplication and division come before addition and subtraction.

01:18 And that's how we find the solution. Great job!

We begin by addressing the numerator of the fraction.

First we solve the division exercise and the exercise within the parentheses:

$400:(-5)=-80$

$(93-61)=32$

We obtain the following:

$\frac{-80-(-2\times32)}{4}=$

We then solve the parentheses in the numerator of the fraction:

$\frac{-80-(-64)}{4}=$

Let's remember that a negative times a negative equals a positive:

$\frac{-80+64}{4}=$

$\frac{-16}{4}=-4$

$-4$