Solve (-10) × (-1): Negative Number Multiplication Exercise

Q: Why does negative times negative equal positive?

Think of it this way: negative means 'opposite direction'. When you reverse direction twice, you end up going forward! So $ (-10) \times (-1) $ means 'the opposite of the opposite of 10' which is just 10.

Q: How do I remember all the sign rules?

Use this simple pattern: Same signs = positive, different signs = negative. So (+) × (+) = (+), (-) × (-) = (+), but (+) × (-) = (-) and (-) × (+) = (-).

Q: What if I have more than two negative numbers?

Count the negative signs! Even number of negatives = positive result, odd number of negatives = negative result. For example: (-2) × (-3) × (-4) has 3 negatives (odd), so the answer is negative.

Q: Is this the same rule for division?

Yes! The sign rules work exactly the same for division. $ (-10) ÷ (-1) = +10 $ because negative divided by negative equals positive.

Q: What's the difference between -10 and (-10)?

They mean the same thing! The parentheses in (-10) just make it clearer that the entire number is negative. Both represent 'negative ten'.

Negative Number Multiplication with Sign Rules

Complete the following exercise:

$(-10)\cdot(-1)=$

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Step-by-step video solution

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00:00 Solve

00:07 Negative times negative always equals positive

00:16 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 remember the rule:

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

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

$-10\times-1=+10$

Final Answer

$10$

Key Points to Remember

Essential concepts to master this topic

Rule: Negative times negative always equals positive result
Technique: Apply sign rule first: (-10) × (-1) = +10
Check: Verify signs match the rule: negative × negative = positive ✓

Common Mistakes

Avoid these frequent errors

Forgetting the negative × negative = positive rule
Don't assume (-10) × (-1) = -10 because you see negative numbers! This ignores the fundamental sign rule and gives the wrong answer. Always remember: when multiplying two negatives, the result is positive.

Practice Quiz

Test your knowledge with interactive questions

Solve the following exercise:

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

FAQ

Everything you need to know about this question

Why does negative times negative equal positive?

Think of it this way: negative means 'opposite direction'. When you reverse direction twice, you end up going forward! So $(-10) \times (-1)$ means 'the opposite of the opposite of 10' which is just 10.

How do I remember all the sign rules?

Use this simple pattern: Same signs = positive, different signs = negative. So (+) × (+) = (+), (-) × (-) = (+), but (+) × (-) = (-) and (-) × (+) = (-).

What if I have more than two negative numbers?

Count the negative signs! Even number of negatives = positive result, odd number of negatives = negative result. For example: (-2) × (-3) × (-4) has 3 negatives (odd), so the answer is negative.

Is this the same rule for division?

Yes! The sign rules work exactly the same for division. $(-10) ÷ (-1) = +10$ because negative divided by negative equals positive.

What's the difference between -10 and (-10)?

They mean the same thing! The parentheses in (-10) just make it clearer that the entire number is negative. Both represent 'negative ten'.

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