Solve Division Problem: 850 ÷ (-1) Step by Step

Division by Negative One

Solve the following:

8501= \frac{850}{-1}=

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Solve the following:

8501= \frac{850}{-1}=

2

Step-by-step solution

Let's note that we are dividing a positive number by a negative number, and therefore the result will necessarily be a negative number:

+:= +:-=-

Let's remember the rule:

x1=x \frac{x}{1}=x

In other words, any number divided by 1 will be equal to itself.

Therefore:

8501=850 \frac{850}{-1}=-850

3

Final Answer

850 -850

Key Points to Remember

Essential concepts to master this topic
  • Sign Rule: Positive divided by negative equals negative
  • Technique: 8501=850 \frac{850}{-1} = -850 because dividing by -1 changes sign
  • Check: Verify: 850×(1)=850 -850 \times (-1) = 850

Common Mistakes

Avoid these frequent errors
  • Forgetting the negative sign in the answer
    Don't ignore the negative sign and write 850 = wrong answer! Division by a negative number always changes the sign of the result. Always apply the sign rule: positive ÷ negative = negative.

Practice Quiz

Test your knowledge with interactive questions

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

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

FAQ

Everything you need to know about this question

Why does dividing by -1 just change the sign?

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Dividing by -1 is like asking "how many negative ones fit into 850?" The answer is -850, because you need 850 negative ones to make 850 positive ones.

Is this the same as multiplying by -1?

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Yes! Dividing by -1 gives the same result as multiplying by -1. Both operations change the sign of the number: 850÷(1)=850×(1)=850 850 \div (-1) = 850 \times (-1) = -850

What if the number was already negative?

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If you divide a negative number by -1, you get a positive result! For example: 8501=850 \frac{-850}{-1} = 850 because negative ÷ negative = positive.

How can I remember the sign rules?

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Use this simple pattern:

  • Same signs: positive ÷ positive = positive, negative ÷ negative = positive
  • Different signs: positive ÷ negative = negative, negative ÷ positive = negative

Can I check my answer?

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Absolutely! Multiply your answer by the divisor: 850×(1)=850 -850 \times (-1) = 850 . Since this equals the original dividend, your answer is correct!

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