Solve 8 + 3 × 2: Order of Operations Practice

Order of Operations with Mixed Arithmetic

8+3×2= 8 + 3 \times 2 =

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1

Understand the problem

8+3×2= 8 + 3 \times 2 =

2

Step-by-step solution

To solve 8+3×2 8 + 3 \times 2 , follow the order of operations (PEMDAS/BODMAS):

  1. First, perform the multiplication: 3×2=6 3 \times 2 = 6 .

  2. Then, add the result to 8: 8+6=14 8 + 6 = 14 .

Thus, the answer is14 14 .

3

Final Answer

14

Key Points to Remember

Essential concepts to master this topic
  • Rule: PEMDAS/BODMAS requires multiplication before addition in expressions
  • Technique: Calculate 3×2=6 3 \times 2 = 6 first, then 8+6=14 8 + 6 = 14
  • Check: Working left-to-right incorrectly gives 8+3=11×2=22 8 + 3 = 11 \times 2 = 22 - wrong! ✓

Common Mistakes

Avoid these frequent errors
  • Adding first instead of following order of operations
    Don't calculate 8+3=11 8 + 3 = 11 first, then multiply by 2 to get 22! This ignores the order of operations and gives the wrong answer. Always do multiplication before addition, so 3×2=6 3 \times 2 = 6 first, then 8+6=14 8 + 6 = 14 .

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?

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Mathematics has a specific order that everyone follows worldwide! Without it, 8+3×2 8 + 3 \times 2 could have multiple answers. PEMDAS/BODMAS ensures we all get the same result: 14.

What does PEMDAS stand for again?

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Parentheses, Exponents, Multiplication, Division, Addition, Subtraction. Remember: multiplication and division come before addition and subtraction!

What if there were parentheses like (8 + 3) × 2?

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Then you would add first! Parentheses are the highest priority in PEMDAS. So (8+3)×2=11×2=22 (8 + 3) \times 2 = 11 \times 2 = 22 . Parentheses change everything!

How can I remember the order of operations?

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Try the memory trick: "Please Excuse My Dear Aunt Sally" for PEMDAS. Or practice with simple problems like this one until the order becomes automatic!

Is 10 wrong because I added 8 + 2?

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Exactly! Getting 10 means you probably added 8+2=10 8 + 2 = 10 and ignored the 3 completely. Always look at every number and operation in the problem carefully.

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