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

Solve the following equation:

400 ⁣:(5)[2(9361)]4= \frac{400\colon(-5)-\lbrack-2(93-61)\rbrack}{4}=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
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!

Step-by-step written solution

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1

Understand the problem

Solve the following equation:

400 ⁣:(5)[2(9361)]4= \frac{400\colon(-5)-\lbrack-2(93-61)\rbrack}{4}=

2

Step-by-step solution

We begin by addressing the numerator of the fraction.

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

400:(5)=80 400:(-5)=-80

(9361)=32 (93-61)=32

We obtain the following:

80(2×32)4= \frac{-80-(-2\times32)}{4}=

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

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

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

80+644= \frac{-80+64}{4}=

164=4 \frac{-16}{4}=-4

3

Final Answer

4 -4

Practice Quiz

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\( 20\div(4+1)-3= \)

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