Solve the Division Equation: Finding the Value of 24÷12

Division with Distributive Property

Solve the following exercise

?=24:12

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Step-by-step video solution

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00:00 Solve
00:03 We'll use the distributive law
00:07 Let's break down 24 into 12 plus 12
00:11 We'll divide each factor separately
00:22 We'll solve each division and then sum
00:27 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Solve the following exercise

?=24:12

2

Step-by-step solution

Apply the distributive property of division and proceed to split the number 24 into a sum of 12 and 12, which ultimately renders the division operation easier and allows us to solve the exercise without a calculator.

Note - it's best to choose to split the number based on knowledge of multiples. In this case of the number 12 because we need to divide by 12.

Reminder - The distributive property of division actually allows us to split the larger term in a division problem into a sum or difference of smaller numbers, which makes the division operation easier and allows us to solve the exercise without a calculator

We will use the formula of the distributive property

(a+b):c=a:c+b:c (a+b):c=a:c+b:c

24:12=(12+12):12 24:12=(12+12):12

(12+12):12=12:12+12:12 (12+12):12=12:12+12:12

12:12+12:12=1+1 12:12+12:12=1+1

1+1=2 1+1=2

Therefore the answer is section a - 2.

3

Final Answer

2

Key Points to Remember

Essential concepts to master this topic
  • Rule: Division can be split using distributive property
  • Technique: Split 24 into 12+12 since we divide by 12
  • Check: Verify 2×12=24, so 24÷12=2 is correct ✓

Common Mistakes

Avoid these frequent errors
  • Forgetting to apply division to all parts after splitting
    Don't split 24 into (12+12) and then just divide one part = wrong answer! This ignores half the problem. Always divide each part separately: (12+12)÷12 = 12÷12 + 12÷12 = 1+1 = 2.

Practice Quiz

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FAQ

Everything you need to know about this question

Why use distributive property when I can just divide 24÷12 directly?

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You're right that 24÷12=2 is straightforward! The distributive property is practice for harder problems where direct division isn't obvious, like 156÷13 or when you don't have a calculator.

How do I know what numbers to split 24 into?

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Look at what you're dividing by! Since we divide by 12, try splitting into multiples of 12. Here, 24 = 12+12 works perfectly because both parts are easily divisible by 12.

Can I split 24 into different numbers like 20+4?

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Yes! (20+4)÷12=20÷12+4÷12=53+13=2 (20+4)÷12 = 20÷12 + 4÷12 = \frac{5}{3} + \frac{1}{3} = 2 . But splitting into multiples of the divisor (like 12+12) makes the math much easier.

What if the distributive property gives me fractions?

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That's normal! Just add the fractions carefully. For example: 23+13=33=1 \frac{2}{3} + \frac{1}{3} = \frac{3}{3} = 1 . The final answer might be a whole number even if you get fractions along the way.

Does this work with subtraction too?

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Absolutely! The distributive property works with subtraction: (ab)÷c=a÷cb÷c (a-b)÷c = a÷c - b÷c . Just remember to keep the minus sign between the terms.

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