Solve (12 + 8) ÷ 4: Order of Operations Practice

Order of Operations with Parentheses First

Solve the following equation:

(12+8)÷4= (12 + 8) \div 4 =

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Solve the following equation:

(12+8)÷4= (12 + 8) \div 4 =

2

Step-by-step solution

To solve the equation, follow these steps:

1. Start by solving the expression inside the parentheses: 12+8 12 + 8 .

2. Calculate 12+8 12 + 8 to get 20 20 .

3. Now divide the result by 4: 20÷4 20 \div 4 .

4. Calculate 20÷4 20 \div 4 to get 5 5 .

Therefore, the final answer is 5 5 .

3

Final Answer

5 5

Key Points to Remember

Essential concepts to master this topic
  • PEMDAS Rule: Always solve expressions inside parentheses before other operations
  • Technique: Calculate 12+8=20 12 + 8 = 20 , then 20÷4=5 20 \div 4 = 5
  • Check: Substitute back: (12+8)÷4=20÷4=5 (12 + 8) \div 4 = 20 \div 4 = 5

Common Mistakes

Avoid these frequent errors
  • Solving left to right without following PEMDAS
    Don't calculate 12+8÷4=12+2=14 12 + 8 \div 4 = 12 + 2 = 14 ! This ignores the parentheses and gives the wrong answer. Always solve what's inside parentheses first, then proceed with remaining operations.

Practice Quiz

Test your knowledge with interactive questions

Solve the following equation:

\( 25 - (8 + 5) = \)

FAQ

Everything you need to know about this question

What does PEMDAS mean and why is it important?

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PEMDAS stands for Parentheses, Exponents, Multiplication/Division, Addition/Subtraction. It's the universal order for solving math problems correctly. Without it, everyone would get different answers!

What if there are no parentheses in the problem?

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Then you follow the rest of PEMDAS! Do multiplication and division from left to right first, then addition and subtraction from left to right.

Can I solve 12 + 8 ÷ 4 the same way as (12 + 8) ÷ 4?

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No! Without parentheses, you'd do 8÷4=2 8 \div 4 = 2 first, then 12+2=14 12 + 2 = 14 . The parentheses completely change the answer from 14 to 5!

What if I have multiple sets of parentheses?

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Solve the innermost parentheses first, then work your way outward. For example: 2×(3+(4×5)) 2 \times (3 + (4 \times 5)) - solve 4×5=20 4 \times 5 = 20 first!

How can I remember to check my work?

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Always ask yourself: "Does this make sense?" In this problem, since we're dividing 20 by 4, the answer should be around 5, not 2 or 14.

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