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

Solve the following problem:

−400:(−7−13+10)= -400:(-7-13+10)=

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Step-by-step video solution

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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

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Solve the following problem:

−400:(−7−13+10)= -400:(-7-13+10)=

2

Step-by-step solution

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

−7−13=−20 -7-13=-20

−20+10=−10 -20+10=-10

Now the expression we have is:

−400:−10= -400:-10=

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

−−=+ \frac{-}{-}=+

Therefore:

40010=40 \frac{400}{10}=40

3

Final Answer

+40 +40

Practice Quiz

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What will be the sign of the result of the next exercise?

\( (-2)\cdot(-4)= \)

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