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

Q: Why do I need to solve the parentheses first?

The order of operations (PEMDAS) requires you to solve parentheses first! If you divide before solving $ (-7-13+10) $, you'll get the wrong answer entirely.

Q: How do I handle multiple operations inside parentheses?

Work from left to right: First calculate $ -7-13 = -20 $, then $ -20+10 = -10 $. Don't try to do everything at once!

Q: Why is the answer positive when we started with -400?

Because we're dividing two negative numbers! The rule is: negative ÷ negative = positive. So $ -400 ÷ (-10) = +40 $.

Q: What if I got -40 as my answer?

You probably forgot that dividing two negatives gives a positive result. Remember: $ \frac{-}{-} = + $ and $ \frac{+}{+} = + $.

Q: How can I check if my answer is right?

Multiply your answer by the divisor: $ 40 × (-10) = -400 $ ✓. If you get back to the original dividend, you're correct!

Division with Negative Numbers

Solve the following problem:

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

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

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

Understand the problem

Solve the following problem:

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

Step-by-step solution

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:

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

Final Answer

$+40$

Key Points to Remember

Essential concepts to master this topic

Order of Operations: Always solve parentheses first using left-to-right rule
Technique: Calculate $-7-13+10 = -10$ step by step
Check: Negative divided by negative equals positive: $-400 ÷ (-10) = +40$ ✓

Common Mistakes

Avoid these frequent errors

Ignoring order of operations in parentheses
Don't solve -400 ÷ (-7) first = +57.14! This skips the parentheses and gives completely wrong results. Always solve everything inside parentheses before doing any division outside.

Practice Quiz

Test your knowledge with interactive questions

Solve the following exercise:

$(+6)\cdot(+9)=$

FAQ

Everything you need to know about this question

Why do I need to solve the parentheses first?

The order of operations (PEMDAS) requires you to solve parentheses first! If you divide before solving $(-7-13+10)$ , you'll get the wrong answer entirely.

How do I handle multiple operations inside parentheses?

Work from left to right: First calculate $-7-13 = -20$ , then $-20+10 = -10$ . Don't try to do everything at once!

Why is the answer positive when we started with -400?

Because we're dividing two negative numbers! The rule is: negative ÷ negative = positive. So $-400 ÷ (-10) = +40$ .

What if I got -40 as my answer?

You probably forgot that dividing two negatives gives a positive result. Remember: $\frac{-}{-} = +$ and $\frac{+}{+} = +$ .

How can I check if my answer is right?

Multiply your answer by the divisor: $40 × (-10) = -400$ ✓. If you get back to the original dividend, you're correct!

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

Division with Negative Numbers

❤️ Continue Your Math Journey!

Step-by-step video solution

Step-by-step written solution

Understand the problem

Step-by-step solution

Final Answer

Key Points to Remember

Common Mistakes

Practice Quiz

FAQ

Why do I need to solve the parentheses first?

How do I handle multiple operations inside parentheses?

Why is the answer positive when we started with -400?

What if I got -40 as my answer?

How can I check if my answer is right?

🌟 Unlock Your Math Potential

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