Solve (+12):(+6): Division with Positive Numbers

Q: Why are there parentheses around the positive numbers?

The parentheses clarify the signs of the numbers. $ (+12) $ means "positive 12" and $ (+6) $ means "positive 6". This helps avoid confusion with subtraction signs.

Q: What's the rule for dividing numbers with the same sign?

When both numbers have the same sign (both positive or both negative), the answer is always positive. Think: $ (+) \div (+) = (+) $ and $ (-) \div (-) = (+) $

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

No difference at all! Both : and ÷ mean division. Some countries prefer one symbol over the other, but they work exactly the same way.

Integer Division with Same Signs

$(+12):(+6)=$

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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 positive is always positive

00:07 Let's calculate the quotient

00:10 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

$(+12):(+6)=$

Step-by-step solution

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

$+:+=+$

Therefore:

$+12:+6=+2$

Final Answer

$2$

Key Points to Remember

Essential concepts to master this topic

Sign Rule: Positive divided by positive always gives positive result
Calculation: $(+12) \div (+6) = +2$ since 6 × 2 = 12
Check: Multiply answer by divisor: $2 \times 6 = 12$ ✓

Common Mistakes

Avoid these frequent errors

Confusion about sign rules in division
Don't assume the answer is negative just because you see parentheses around positive numbers = wrong sign! The parentheses are just showing the positive signs clearly. Always remember: positive ÷ positive = positive.

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 are there parentheses around the positive numbers?

The parentheses clarify the signs of the numbers. $(+12)$ means "positive 12" and $(+6)$ means "positive 6". This helps avoid confusion with subtraction signs.

What's the rule for dividing numbers with the same sign?

When both numbers have the same sign (both positive or both negative), the answer is always positive. Think: $(+) \div (+) = (+)$ and $(-) \div (-) = (+)$

How do I check if my division answer is correct?

Multiply your answer by the divisor. If you get the original dividend, you're right! For example: $2 \times 6 = 12$ ✓

What if the numbers had different signs instead?

If one number is positive and one is negative, the result would be negative. For example: $(+12) \div (-6) = -2$ or $(-12) \div (+6) = -2$

Is there a difference between : and ÷ symbols?

No difference at all! Both : and ÷ mean division. Some countries prefer one symbol over the other, but they work exactly the same way.

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