Determine the Sign: Finding the Product of (-6) × 5

Integer Multiplication with Sign Rules

What will be the sign of the result of the next exercise?

(6)5= (-6)\cdot5=

❤️ Continue Your Math Journey!

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

Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:07 First, let's determine the sign of the result.
00:15 Remember, when you multiply negative with positive, the answer is always negative.
00:25 Great job! That's how we answer the question.

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

What will be the sign of the result of the next exercise?

(6)5= (-6)\cdot5=

2

Step-by-step solution

Remember the law:

(+x)×(x)=x (+x)\times(-x)=-x

For the sum of the angles of a triangle is always:

6×+5=30 -6\times+5=-30

3

Final Answer

Negative

Key Points to Remember

Essential concepts to master this topic
  • Sign Rule: Positive times negative always equals negative
  • Technique: Calculate (6)×5=30 (-6) \times 5 = -30 by multiplying magnitudes first
  • Check: Verify sign: one negative factor means negative product ✓

Common Mistakes

Avoid these frequent errors
  • Ignoring the negative sign
    Don't multiply just the numbers 6 × 5 = 30 and ignore the negative sign! This gives a positive result when the answer should be negative. Always apply the sign rule: positive × negative = negative.

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 negative when I'm multiplying by positive 5?

+

Because you have one negative factor (-6) and one positive factor (5). The sign rule states: positive × negative = negative, so (6)×5=30 (-6) \times 5 = -30 .

What if both numbers were negative?

+

If both factors are negative, like (6)×(5) (-6) \times (-5) , then the result would be positive! Remember: negative × negative = positive.

How do I remember the sign rules?

+

Easy memory trick:

  • Same signs = Positive result
  • Different signs = Negative result

Since (-6) and (+5) have different signs, the answer is negative!

Do I multiply the numbers first or determine the sign first?

+

Either way works! You can multiply the magnitudes: 6 × 5 = 30, then apply the sign rule to get -30. Or determine the sign first (negative), then multiply.

What does 'magnitude' mean in multiplication?

+

Magnitude means the absolute value or size of a number without its sign. So the magnitude of -6 is 6, and the magnitude of 5 is 5.

🌟 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

More Questions

Click on any question to see the complete solution with step-by-step explanations