Solve: (+9) × (+4) - Positive Number Multiplication

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

When you multiply two positive numbers, you're essentially adding one positive number to itself multiple times. Since you're adding positive amounts, the result must be positive!

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

No! When a number is positive, we usually don't write the + sign. So (+9) × (+4) = +36 can be written simply as 36.

Q: What if one number was negative instead?

Then you'd use a different sign rule! Positive × Negative = Negative. For example: (+9) × (-4) = -36. The signs must be the same for a positive result.

Q: Can I use repeated addition to check this?

Absolutely! $ (+9) \times (+4) $ means add +9 four times: 9 + 9 + 9 + 9 = 36. This confirms our multiplication is correct!

Positive Integer Multiplication with Sign Rules

Solve the following exercise:

$(+9)\cdot(+4)=$

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Solve the following exercise:

$(+9)\cdot(+4)=$

Step-by-step solution

Note that we are multiplying two positive numbers, so the result will necessarily be positive:

$+\times+=+$

We get:

$+9\times+4=+36=36$

Final Answer

$36$

Key Points to Remember

Essential concepts to master this topic

Sign Rule: Positive times positive always equals positive
Technique: Multiply absolute values: 9 × 4 = 36, keep positive sign
Check: Verify (+9) × (+4) = +36 by counting or repeated addition ✓

Common Mistakes

Avoid these frequent errors

Confusing multiplication signs with addition signs
Don't think (+9) × (+4) means 9 + 4 = 13! This mixes up operations and gives a completely wrong answer. Always remember multiplication gives much larger results than addition for the same positive numbers.

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 one positive number to itself multiple times. Since you're adding positive amounts, the result must be positive!

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

No! When a number is positive, we usually don't write the + sign. So (+9) × (+4) = +36 can be written simply as 36.

How is this different from 9 × 4?

It's exactly the same! The parentheses with + signs are just showing you explicitly that both numbers are positive. $(+9) \times (+4) = 9 \times 4 = 36$

What if one number was negative instead?

Then you'd use a different sign rule! Positive × Negative = Negative. For example: (+9) × (-4) = -36. The signs must be the same for a positive result.

Can I use repeated addition to check this?

Absolutely! $(+9) \times (+4)$ means add +9 four times: 9 + 9 + 9 + 9 = 36. This confirms our multiplication is correct!

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