Solve the Expression: Evaluating 3+8+4×3 Using Order of Operations

Order of Operations with Mixed Arithmetic

3+8+4×3= 3+8+4\times3=

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve the following expression
00:03 Always solve multiplication and division before addition and subtraction
00:09 Solve according to the order of operations, solve from left to right
00:14 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

3+8+4×3= 3+8+4\times3=

2

Step-by-step solution

According to the rules of the order of operations, we first solve the multiplication exercise:

3+8+(4×3)= 3+8+(4\times3)=

4×3=12 4\times3=12

Now, we solve the addition exercise from left to right:

3+8+12= 3+8+12=

11+12=23 11+12=23

3

Final Answer

23

Key Points to Remember

Essential concepts to master this topic
  • PEMDAS Rule: Always perform multiplication before addition in expressions
  • Technique: Calculate 4×3=12 4\times3=12 first, then 3+8+12 3+8+12
  • Check: Work left to right for addition: 11+12=23 11+12=23

Common Mistakes

Avoid these frequent errors
  • Working strictly left to right without considering operation priority
    Don't calculate 3+8=11 3+8=11 , then 11+4=15 11+4=15 , then 15×3=45 15\times3=45 = wrong answer 45! This ignores PEMDAS and treats all operations equally. Always identify and perform multiplication first, then handle addition from left to right.

Practice Quiz

Test your knowledge with interactive questions

\( 13+5+5= \) ?

FAQ

Everything you need to know about this question

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

+

Mathematics has a special order called PEMDAS (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction). Multiplication is stronger than addition, so it must be done first!

What if there are multiple multiplications or additions?

+

Do all multiplications first (left to right), then do all additions (left to right). In 3+8+4×3 3+8+4\times3 , there's only one multiplication, so we do that first.

How do I remember the order of operations?

+

Use the memory trick "Please Excuse My Dear Aunt Sally" for PEMDAS. Focus especially on remembering that multiplication comes before addition!

What happens if I forget to do multiplication first?

+

You'll get the wrong answer! In this problem, working left to right gives 45 instead of the correct answer 23. Always double-check your order of operations.

Are there parentheses in this problem?

+

No, but you can think of it as 3+8+(4×3) 3+8+(4\times3) to help remember that multiplication happens first. The parentheses show the invisible grouping!

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Commutative, Distributive and Associative Properties questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations