Solve the Expression: 8+3×4-2+1 Using Order of Operations

Order of Operations with Mixed Operations

Complete the exercise:

8+3×42+1= 8+3\times4-2+1=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:08 Remember, multiplication comes first before addition and subtraction.
00:16 For addition and subtraction, solve them from left to right. Great job!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Complete the exercise:

8+3×42+1= 8+3\times4-2+1=

2

Step-by-step solution

According to the rules of the order of arithmetic operations, we begin by placing the multiplication and division exercises inside of parentheses:

8+(3×4)2+1= 8+(3\times4)-2+1=

We then solve the exercise within the parentheses:

3×4=12 3\times4=12

We obtain the following :

8+122+1= 8+12-2+1=

Finally we solve the exercise from left to right:

8+12=20 8+12=20

202=18 20-2=18

18+1=19 18+1=19

3

Final Answer

19

Key Points to Remember

Essential concepts to master this topic
  • PEMDAS Rule: Multiplication comes before addition and subtraction
  • Technique: Solve 3×4=12 3\times4=12 first, then work left to right
  • Check: Final calculation should be 8+122+1=19 8+12-2+1=19

Common Mistakes

Avoid these frequent errors
  • Working strictly from left to right without considering operation priority
    Don't solve 8+3=11 first and continue left to right = wrong answer of 43! This ignores multiplication priority and gives completely wrong results. Always identify and solve multiplication/division before addition/subtraction.

Practice Quiz

Test your knowledge with interactive questions

\( 8 + 3 \times 2 = \)

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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Mathematical operations have a specific order that must be followed! If we solved 8+3×42+1 8+3\times4-2+1 left to right, we'd get 43 instead of the correct answer 19.

What does PEMDAS stand for again?

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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!

Do I need to write parentheses around the multiplication?

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Writing 8+(3×4)2+1 8+(3\times4)-2+1 can help you visualize the order, but it's not required. The multiplication has priority whether you write parentheses or not!

What if I have multiple multiplications in one problem?

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Solve all multiplications and divisions first, working from left to right. Then do all additions and subtractions, also from left to right.

How can I remember to check my work?

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After getting your final answer, retrace each step: First 3×4=12 3\times4=12 , then 8+122+1 8+12-2+1 left to right gives 19. Double-checking prevents silly mistakes!

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