Solve Division Problem: (+32) ÷ (+8) with Positive Integers

Q: Why is positive divided by positive equal to positive?

Think of division as repeated subtraction or how many groups. If you have 32 positive units and group them into sets of 8 positive units, you get 4 complete groups - all positive!

Q: What if the numbers were both negative?

Two negatives still give a positive result! The rule is: same signs = positive, different signs = negative. So (-32) ÷ (-8) = +4 too.

Q: How do I remember the division sign rules?

Use this simple pattern:Same signs: positive ÷ positive = positive, negative ÷ negative = positiveDifferent signs: positive ÷ negative = negative, negative ÷ positive = negative

Q: Is there a difference between ÷ and : symbols?

No difference at all! Both $ ÷ $ and $ : $ mean division. Some countries prefer the colon notation, but they work exactly the same way.

Integer Division with Sign Rules

$(+32):(+8)=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:05 Let's solve this problem together.

00:08 Remember, when a positive number is divided by another positive, the result is always positive.

00:14 Now, let's calculate the answer step by step.

00:17 Great job! And that's how we solve this problem.

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$(+32):(+8)=$

Step-by-step solution

Since we are dividing two positive numbers, the result will necessarily be a positive number:

$+:+=+$

Therefore:

$+32:+8=+4$

Final Answer

$4$

Key Points to Remember

Essential concepts to master this topic

Sign Rule: Positive divided by positive always equals positive
Technique: Calculate 32 ÷ 8 = 4, then apply sign
Check: Verify 4 × 8 = 32 matches original dividend ✓

Common Mistakes

Avoid these frequent errors

Confusing division sign rules with multiplication
Don't think (+32) ÷ (+8) = -4 because you mixed up sign rules! Division of same signs is positive, not negative. Always remember: same signs divide to give positive results.

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 positive equal to positive?

Think of division as repeated subtraction or how many groups. If you have 32 positive units and group them into sets of 8 positive units, you get 4 complete groups - all positive!

What if the numbers were both negative?

Two negatives still give a positive result! The rule is: same signs = positive, different signs = negative. So (-32) ÷ (-8) = +4 too.

How do I remember the division sign rules?

Use this simple pattern:

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

Is there a difference between ÷ and : symbols?

No difference at all! Both $÷$ and $:$ mean division. Some countries prefer the colon notation, but they work exactly the same way.

What if I get a fraction instead of a whole number?

That's normal! Not all divisions result in whole numbers. For example, $(+15) ÷ (+4) = +3.75$ or $+3\frac{3}{4}$ . The sign rules still apply the same way.

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