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

Convert $\frac{7}{2}$ into its reciprocal form:

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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