Solve the Multiplication Equation: 12 × ? = 24

Division Relationships with Multiplication Equations

Fill in the missing number:

12?=24 12\cdot?=24

❤️ 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
00:04 Let's start by finding the unknown.
00:09 Remember, positive, times positive, always equals positive.
00:15 So, the unknown must be positive.
00:19 Let's calculate the unknown value step by step.
00:26 And, that is how we solve this problem!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Fill in the missing number:

12?=24 12\cdot?=24

2

Step-by-step solution

Let's remember the law:

(+x)×(+x)=+x (+x)\times(+x)=+x

Let's think about which number we need to multiply by 12 to get 24:

2×2=4 2\times2=4

Now let's put the numbers together with the appropriate sign as written in the law above as follows:

+12×+2=24 +12\times+2=24

3

Final Answer

2 2

Key Points to Remember

Essential concepts to master this topic
  • Division Rule: To find missing factor, divide product by known factor
  • Technique: Calculate 24÷12=2 24 \div 12 = 2 to find the missing number
  • Check: Verify by multiplying: 12×2=24 12 \times 2 = 24

Common Mistakes

Avoid these frequent errors
  • Guessing numbers without using division
    Don't just try random numbers like 3 or -2 = wastes time and leads to wrong answers! Guessing ignores the inverse relationship between multiplication and division. Always divide the product by the known factor: 24 ÷ 12 = 2.

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 can't the answer be negative 2?

+

Because negative times positive equals negative! If we multiply 12×(2)=24 12 \times (-2) = -24 , not positive 24. Since we need positive 24, the missing number must be positive.

How do I know to divide instead of add or subtract?

+

Look at the operation symbol! Since we have multiplication (× \times ), we use the inverse operation which is division to find the missing factor.

What if I get a decimal or fraction answer?

+

That's totally fine! Not all multiplication problems have whole number answers. Just make sure to check your work by multiplying back to see if you get the original product.

Can I solve this by setting up an equation?

+

Absolutely! You can write 12x=24 12x = 24 and solve by dividing both sides by 12. Both methods give the same answer: x=2 x = 2 .

Why do we learn this if we can just use a calculator?

+

Understanding factor relationships helps with mental math, fraction work, and algebra later on. Plus, knowing that multiplication and division are inverse operations is a key math concept!

🌟 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