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

Positive Integer Multiplication with Sign Rules

Solve the following exercise:

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

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Solve the following exercise:

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

2

Step-by-step solution

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

+×+=+ +\times+=+

We get:

+9×+4=+36=36 +9\times+4=+36=36

3

Final Answer

36 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

Convert \( \frac{7}{2} \)into its reciprocal form:

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?

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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?

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

What if one number was negative instead?

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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?

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

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