Solve 3 + 4 × 2: Order of Operations Practice

Order of Operations with Mixed Calculations

3+4×2= 3 + 4 \times 2 =

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1

Understand the problem

3+4×2= 3 + 4 \times 2 =

2

Step-by-step solution

According to the order of operations, you should first calculate the multiplication, then the addition:

4×2=8 4 \times 2 = 8

Then add the result to 3:

3+8=11 3 + 8 = 11

3

Final Answer

11

Key Points to Remember

Essential concepts to master this topic
  • PEMDAS Rule: Multiplication before addition, always follow this sequence
  • Technique: Calculate 4×2=8 4 \times 2 = 8 first, then add 3
  • Check: Verify 3+8=11 3 + 8 = 11 matches your final answer ✓

Common Mistakes

Avoid these frequent errors
  • Adding from left to right without considering operation priority
    Don't calculate 3 + 4 = 7 first, then multiply by 2 = 14! This ignores order of operations and gives the wrong answer. Always do multiplication before addition, so 4 × 2 = 8, then 3 + 8 = 11.

Practice Quiz

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\( 8 + 3 \times 2 = \)

FAQ

Everything you need to know about this question

Why can't I just solve from left to right like reading?

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Mathematics has special rules called order of operations (PEMDAS)! Unlike reading, we must do multiplication and division first, then addition and subtraction. This ensures everyone gets the same answer.

What does PEMDAS stand for?

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Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right). Remember: Please Excuse My Dear Aunt Sally!

What if there are no parentheses in the problem?

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No problem! Just skip to the next step in PEMDAS. In 3+4×2 3 + 4 \times 2 , we skip parentheses and exponents, then do the multiplication first.

How can I remember to do multiplication first?

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Think of multiplication as grouping! 4×2 4 \times 2 means "4 groups of 2" which must be calculated as one unit before adding to anything else.

What if I get a different answer than 11?

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Double-check your steps! The most common mistake is doing 3+4=7 3 + 4 = 7 first. Remember: multiplication always comes before addition, so 4×2=8 4 \times 2 = 8 , then 3+8=11 3 + 8 = 11 .

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