Solve Division Problem: (+4) ÷ (-1) with Integer Signs

Q: Why is the answer negative when I'm dividing 4 by 1?

The answer is negative because you're dividing a positive number (+4) by a negative number (-1). The sign rule states that positive ÷ negative = negative result.

Q: How do I remember the sign rules for division?

Use this simple pattern: Same signs = positive and Different signs = negative. Since +4 and -1 have different signs, the result must be negative!

Q: Is this the same as multiplication sign rules?

Yes! Division and multiplication follow the exact same sign rules: + ÷ + = +- ÷ - = ++ ÷ - = -- ÷ + = -

Q: Can I check my answer by multiplying back?

Absolutely! To check $ (+4) ÷ (-1) = -4 $, multiply: $ (-4) × (-1) = +4 $ ✓. If you get back to your original dividend, you're correct!

Integer Division with Sign Rules

$(+4):(-1)=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:04 Let's solve this problem together.

00:07 Remember, when you divide a positive number by a negative number, the result is always negative.

00:14 Also, dividing any number by one gives you that number back.

00:19 And that's how we find the solution to this question!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$(+4):(-1)=$

Step-by-step solution

Due to the fact that we are dividing a positive number by a negative number, the result must be a negative number:

$+:-=-$

Therefore:

$-(4:1)=-4$

Final Answer

$-4$

Key Points to Remember

Essential concepts to master this topic

Sign Rule: Positive divided by negative always equals negative
Technique: First divide numbers: 4 ÷ 1 = 4, then apply sign
Check: Verify: (-4) × (-1) = +4, confirms our answer ✓

Common Mistakes

Avoid these frequent errors

Forgetting to apply the sign rule
Don't just divide 4 ÷ 1 = 4 and stop there! This ignores the signs and gives a positive answer when it should be negative. Always remember: positive ÷ negative = negative result.

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 is the answer negative when I'm dividing 4 by 1?

The answer is negative because you're dividing a positive number (+4) by a negative number (-1). The sign rule states that positive ÷ negative = negative result.

How do I remember the sign rules for division?

Use this simple pattern: Same signs = positive and Different signs = negative. Since +4 and -1 have different signs, the result must be negative!

Is this the same as multiplication sign rules?

Yes! Division and multiplication follow the exact same sign rules:

+ ÷ + = +
- ÷ - = +
+ ÷ - = -
- ÷ + = -

Can I check my answer by multiplying back?

Absolutely! To check $(+4) ÷ (-1) = -4$ , multiply: $(-4) × (-1) = +4$ ✓. If you get back to your original dividend, you're correct!

What if the numbers were bigger, like (+12) ÷ (-3)?

Same process! First divide the numbers: 12 ÷ 3 = 4. Then apply the sign rule: positive ÷ negative = negative. So $(+12) ÷ (-3) = -4$ .

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