Solve (8-3) × (2+4): Order of Operations Practice

Order of Operations with Parentheses First

(8−3)×(2+4)= (8-3)\times (2+4) =

❤️ Continue Your Math Journey!

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

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

(8−3)×(2+4)= (8-3)\times (2+4) =

2

Step-by-step solution

First, solve the expression inside the parentheses:

8−3=5 8-3=5

and

2+4=6 2+4=6

Thus, the equation becomes:

5×6 5\times6

Now, perform the multiplication:

5×6=30 5 \times 6 = 30

.
3

Final Answer

30

Key Points to Remember

Essential concepts to master this topic
  • PEMDAS Rule: Always solve operations inside parentheses before anything else
  • Technique: Calculate (8-3)=5 and (2+4)=6, then multiply: 5×6=30
  • Check: Verify each step: 5+6=11, then 5×6=30 matches the correct answer ✓

Common Mistakes

Avoid these frequent errors
  • Working left to right without following order of operations
    Don't calculate 8-3×2+4 by going left to right = wrong answer of 18! This ignores parentheses and gives incorrect results. Always solve everything inside parentheses first, then multiply.

Practice Quiz

Test your knowledge with interactive questions

Solve the following equation:

\( 25 - (8 + 5) = \)

FAQ

Everything you need to know about this question

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

+

Mathematics has a specific order of operations (PEMDAS) that everyone must follow. Working left to right ignores this rule and gives wrong answers. Parentheses always come first!

What if there are no parentheses in a problem?

+

Then follow PEMDAS: Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right).

Do I solve both sets of parentheses at the same time?

+

You can solve them in any order since they're separate! In this problem, (8−3) (8-3) and (2+4) (2+4) are independent, so solve whichever you prefer first.

What if I get a different answer?

+

Double-check your work! Make sure you calculated 8−3=5 8-3=5 and 2+4=6 2+4=6 correctly, then 5×6=30 5 \times 6 = 30 .

Is there a trick to remembering PEMDAS?

+

Try the phrase: "Please Excuse My Dear Aunt Sally" to remember Parentheses, Exponents, Multiplication, Division, Addition, Subtraction!

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Order of operations for beginners 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

Parentheses in simple Order of Operations

Solve (50-10) × 2: Order of Operations Practice
Click to solve
Solve (12 + 8) ÷ 4: Order of Operations Practice
Click to solve

Parentheses in advanced Order of Operations

Solve: 9 × (2 × 1) Using Order of Operations
Click to solve
Solve: 0.4 × (3+1) Using Order of Operations
Click to solve