Solve the Integer Problem: (+6) × (+9) Multiplication

Q: Why is the answer positive when both numbers are positive?

When you multiply two positive numbers, you're essentially adding the first number to itself multiple times. Since $ 6 \times 9 $ means adding 6 nine times, the result must be positive!

Q: What's the difference between (+6) and just 6?

There's no mathematical difference! The parentheses and plus sign (+6) just make it extra clear that the number is positive. It's the same as writing 6.

Q: How do I remember the multiplication sign rules?

Use this simple pattern: Same signs = Positive, Different signs = Negative. So (+) × (+) = (+) and (-) × (-) = (+), but (+) × (-) = (-).

Q: What if I accidentally picked -54 as my answer?

That's a common mistake! Remember that we're multiplying two positive numbers. Think of it as: if you have 6 groups of 9 positive things, you'll have 54 positive things total.

Integer Multiplication with Positive Numbers

Solve the following exercise:

$(+6)\cdot(+9)=$

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Solve the following exercise:

$(+6)\cdot(+9)=$

Step-by-step solution

Due to the fact that we are multiplying two positive numbers the result will also be positive:

$+\times+=+$

We obtain the following:

$+6\times+9=+54=54$

Final Answer

$54$

Key Points to Remember

Essential concepts to master this topic

Sign Rule: Positive times positive always equals positive result
Technique: Multiply absolute values: $6 \times 9 = 54$
Check: Verify sign rule applies: $(+6) \times (+9) = +54$ ✓

Common Mistakes

Avoid these frequent errors

Confusing sign rules for multiplication
Don't think that multiplying positive numbers gives a negative result = -54! This happens when students mix up addition and multiplication sign rules. 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 is the answer positive when both numbers are positive?

When you multiply two positive numbers, you're essentially adding the first number to itself multiple times. Since $6 \times 9$ means adding 6 nine times, the result must be positive!

What's the difference between (+6) and just 6?

There's no mathematical difference! The parentheses and plus sign (+6) just make it extra clear that the number is positive. It's the same as writing 6.

Do I need to write the + sign in my final answer?

No, you don't have to! When a number is positive, we usually don't write the + sign. So +54 and 54 mean exactly the same thing.

How do I remember the multiplication sign rules?

Use this simple pattern: Same signs = Positive, Different signs = Negative. So (+) × (+) = (+) and (-) × (-) = (+), but (+) × (-) = (-).

What if I accidentally picked -54 as my answer?

That's a common mistake! Remember that we're multiplying two positive numbers. Think of it as: if you have 6 groups of 9 positive things, you'll have 54 positive things total.

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Signed Numbers (Positive and Negative) questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime