Solve Division Problem: (+24) ÷ (-6) with Integer Signs

Q: Why is positive divided by negative always negative?

Think of division as repeated subtraction. When you divide +24 by -6, you're asking "how many times can I subtract -6 from +24?" Since subtracting a negative means adding positive, you need negative 4 groups to get +24.

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

Use this simple pattern: same signs = positive, different signs = negative. Since (+) and (-) are different signs, the result must be negative!

Q: Can I just ignore the signs and add them at the end?

Yes, that's exactly right! First calculate $ 24 ÷ 6 = 4 $, then apply the sign rule to get $ -4 $. This two-step approach helps avoid mistakes.

Q: How can I check if my division answer is correct?

Use multiplication to check division! Multiply your answer by the divisor: $ (-4) × (-6) = +24 $. If you get the original dividend, you're correct!

Q: What if I got +4 instead of -4?

You forgot the sign rule! While $ 24 ÷ 6 = 4 $ is correct for the numbers, positive ÷ negative = negative. Always check: do the signs match or differ?

Integer Division with Sign Rules

$(+24):(-6)=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:03 Positive divided by negative is always negative

00:07 Let's calculate the quotient

00:12 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

$(+24):(-6)=$

Step-by-step solution

Since we are dividing a positive number by a negative number, the result must be a negative number:

$+:-=-$

Therefore:

$-(24:6)=-4$

Final Answer

$-4$

Key Points to Remember

Essential concepts to master this topic

Sign Rule: Positive divided by negative always equals negative
Technique: Calculate $24 ÷ 6 = 4$ , then apply negative sign
Check: $(-4) × (-6) = +24$ confirms our answer ✓

Common Mistakes

Avoid these frequent errors

Forgetting to apply the sign rule
Don't just divide 24 by 6 to get 4 and ignore the signs = wrong positive answer! The signs determine whether your final answer is positive or negative. 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 is positive divided by negative always negative?

Think of division as repeated subtraction. When you divide +24 by -6, you're asking "how many times can I subtract -6 from +24?" Since subtracting a negative means adding positive, you need negative 4 groups to get +24.

How do I remember the sign rules for division?

Use this simple pattern: same signs = positive, different signs = negative. Since (+) and (-) are different signs, the result must be negative!

Can I just ignore the signs and add them at the end?

Yes, that's exactly right! First calculate $24 ÷ 6 = 4$ , then apply the sign rule to get $-4$ . This two-step approach helps avoid mistakes.

How can I check if my division answer is correct?

Use multiplication to check division! Multiply your answer by the divisor: $(-4) × (-6) = +24$ . If you get the original dividend, you're correct!

What if I got +4 instead of -4?

You forgot the sign rule! While $24 ÷ 6 = 4$ is correct for the numbers, positive ÷ negative = negative. Always check: do the signs match or differ?

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