Determine the Sign: Solving (-3)×(-4) Multiplication Problem

Q: Why does negative times negative equal positive?

Think of it like removing a debt! If you remove (-) a negative amount (-), you gain money (+). The mathematical rule is: same signs = positive, different signs = negative.

Q: How can I remember the multiplication sign rules?

Use this simple pattern:Same signs: (+)(+) = + and (-)(-) = +Different signs: (+)(-) = - and (-)(+) = -Just like in real life - same attracts, different repels!

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 result is negative.

Q: Does this rule work for fractions and decimals too?

Yes! The sign rules apply to all numbers - integers, fractions, and decimals. For example: $ (-0.5) \times (-2) = +1.0 $

Q: How do I check my answer is correct?

Look at your signs carefully! For $ (-3) \times (-4) $, you have two negative signs, so your answer must be positive. Then calculate: $ 3 \times 4 = 12 $, so the answer is $ +12 $.

Integer Multiplication with Negative Numbers

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

$(-3)\cdot(-4)=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 What will be the sign of the result?

00:11 Negative multiplied by negative always equals positive

00:17 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

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

$(-3)\cdot(-4)=$

Step-by-step solution

Let's remember the rule:

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

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

$-3\times-4=+12$

Final Answer

Positive

Key Points to Remember

Essential concepts to master this topic

Sign Rule: Negative times negative always equals positive
Technique: $(-3) \times (-4) = +12$ because both factors are negative
Check: Two negative signs cancel out to make positive result ✓

Common Mistakes

Avoid these frequent errors

Thinking negative times negative equals negative
Don't apply $(-3) \times (-4) = -12$ = wrong sign! This confuses the rule with positive times negative. Always remember: same signs multiply to positive, different signs multiply to negative.

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 like removing a debt! If you remove (-) a negative amount (-), you gain money (+). The mathematical rule is: same signs = positive, different signs = negative.

How can I remember the multiplication sign rules?

Use this simple pattern:

Same signs: (+)(+) = + and (-)(-) = +
Different signs: (+)(-) = - and (-)(+) = -

Just like in real life - same attracts, different repels!

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 result is negative.

Does this rule work for fractions and decimals too?

Yes! The sign rules apply to all numbers - integers, fractions, and decimals. For example: $(-0.5) \times (-2) = +1.0$

How do I check my answer is correct?

Look at your signs carefully! For $(-3) \times (-4)$ , you have two negative signs, so your answer must be positive. Then calculate: $3 \times 4 = 12$ , so the answer is $+12$ .

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Determine the Sign: Solving (-3)×(-4) Multiplication Problem

Integer Multiplication with Negative Numbers

❤️ Continue Your Math Journey!

Step-by-step video solution

Step-by-step written solution

Understand the problem

Step-by-step solution

Final Answer

Key Points to Remember

Common Mistakes

Practice Quiz

FAQ

Why does negative times negative equal positive?

How can I remember the multiplication sign rules?

What if I have more than two negative numbers?

Does this rule work for fractions and decimals too?

How do I check my answer is correct?

🌟 Unlock Your Math Potential

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