Multiply 10 and (-1): Basic Integer Multiplication Exercise

Q: Why is 10 × (-1) negative instead of positive?

When you multiply a positive number by a negative number, the result is always negative. Think of it as: 10 groups of negative 1 equals negative 10.

Q: What's the easiest way to remember the sign rules?

Use this pattern: same signs = positive, different signs = negative. Since 10 is positive and -1 is negative (different signs), the answer is negative.

Q: How do I check if my answer is right?

Ask yourself: Do the signs make sense? Positive × negative should give negative. Since $ 10 \times (-1) = -10 $ is negative, it's correct!

Integer Multiplication with Negative Numbers

Complete the following exercise:

$10\cdot(-1)=$

❤️ 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

00:00 Solve

00:09 Positive times negative is always negative

00:15 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

Complete the following exercise:

$10\cdot(-1)=$

Step-by-step solution

Let's recall the rule:

$(+x)\times(-x)=-x$

Therefore, the sign of the exercise result will be negative:

$+10\times-1=-10$

Final Answer

$-10$

Key Points to Remember

Essential concepts to master this topic

Rule: Positive times negative always equals negative result
Technique: Apply sign rule first: $10 \times (-1) = -10$
Check: Verify the sign: positive × negative = negative ✓

Common Mistakes

Avoid these frequent errors

Forgetting to apply the negative sign
Don't just multiply 10 × 1 = 10 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

a is negative number.

b is negative number.

What is the sum of a+b?

FAQ

Everything you need to know about this question

Why is 10 × (-1) negative instead of positive?

When you multiply a positive number by a negative number, the result is always negative. Think of it as: 10 groups of negative 1 equals negative 10.

What's the easiest way to remember the sign rules?

Use this pattern: same signs = positive, different signs = negative. Since 10 is positive and -1 is negative (different signs), the answer is negative.

Is multiplying by -1 the same as making a number negative?

Yes! Multiplying any number by -1 is like putting a negative sign in front of it. So $10 \times (-1) = -10$ .

What if I had (-10) × 1 instead?

You'd get the same answer: -10. When one number is negative and the other is positive, the result is always negative, no matter which number has the negative sign.

How do I check if my answer is right?

Ask yourself: Do the signs make sense? Positive × negative should give negative. Since $10 \times (-1) = -10$ is negative, it's correct!

🌟 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