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

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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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