Maximum Value Analysis: Identifying the Highest-Result Expression

Q: Why do I need to solve the parentheses first?

The order of operations (PEMDAS) requires you to solve parentheses first! If you multiply before solving parentheses, you'll get completely wrong answers that can't be compared correctly.

Q: How do I know which expression gives the highest result?

Calculate each expression completely, then compare the final numbers. In this case: 64, 60, 60, 60. The largest is 64!

Q: Can I use a calculator for these problems?

Yes, but make sure you enter the operations in the correct order! Most calculators follow order of operations, so $ 8\times(12-4) $ should give you 64 automatically.

Q: Why are three answers the same but one different?

This tests whether you can spot the one expression that's different! The other three were designed to have the same result (60) to make sure you find the unique highest value (64).

Order of Operations with Expression Comparison

Choose the exercise for the highest result

❤️ 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

00:06 Parentheses precede multiplication

00:19 Here too, and in the following exercises, parentheses precede multiplication

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Choose the exercise for the highest result

Step-by-step solution

Let's solve exercise A:

$8\times8=64$

Let's solve exercise B:

$10\times6=60$

Let's solve exercise C:

$12\times5=60$

Let's solve exercise D:

$15\times4=60$

Final Answer

$8\times(12-4)$

Key Points to Remember

Essential concepts to master this topic

Rule: Calculate operations inside parentheses before multiplying by outside numbers
Technique: First find $12-4=8$ , then multiply $8\times 8=64$
Check: Compare all final results to identify the largest value ✓

Common Mistakes

Avoid these frequent errors

Multiplying before calculating parentheses
Don't multiply 8×12 first then subtract = wrong answer 92! This violates order of operations where parentheses come first. Always solve what's inside parentheses before multiplying.

Practice Quiz

Test your knowledge with interactive questions

$$ 100+5-100+5 $$

FAQ

Everything you need to know about this question

Why do I need to solve the parentheses first?

The order of operations (PEMDAS) requires you to solve parentheses first! If you multiply before solving parentheses, you'll get completely wrong answers that can't be compared correctly.

How do I know which expression gives the highest result?

Calculate each expression completely, then compare the final numbers. In this case: 64, 60, 60, 60. The largest is 64!

What if two expressions give the same result?

That's totally normal in math! Like options B, C, and D all equal 60. When comparing, you're looking for the single highest value, which is still option A with 64.

Can I use a calculator for these problems?

Yes, but make sure you enter the operations in the correct order! Most calculators follow order of operations, so $8\times(12-4)$ should give you 64 automatically.

Why are three answers the same but one different?

This tests whether you can spot the one expression that's different! The other three were designed to have the same result (60) to make sure you find the unique highest value (64).

🌟 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

Maximum Value Analysis: Identifying the Highest-Result Expression

Order of Operations with Expression Comparison

❤️ Continue Your Math Journey!

Step-by-step video solution

Step-by-step written solution

Understand the problem

Step-by-step solution

Final Answer

Key Points to Remember

Common Mistakes

Practice Quiz

FAQ

Why do I need to solve the parentheses first?

How do I know which expression gives the highest result?

What if two expressions give the same result?

Can I use a calculator for these problems?

Why are three answers the same but one different?

🌟 Unlock Your Math Potential

More Questions

All Operations in the Order of Operations

Solve for the Missing Fraction in 5×17-112-?/14=-27.5

Solve for the Missing Number in ?:4+8×3-7=26

Mathematical Expression Comparison: Identifying the Maximum Result

Finding the Greatest Value: Maximum Value Comparison Problem

Parentheses in advanced Order of Operations

Solve for ?: (45-22)×19+25÷5+?×3=82 Order of Operations

Solve: 3+[5·4-(9·1+3)]-8 Using Order of Operations

Solve the Equation: Finding the Missing Number in ?:(-6)+[-2(94-73)]=-153

Solve for X: (32-17)×4×9÷3-50÷x=170 Complex Equation

Parentheses in simple Order of Operations

Solve 187×(8-5): Multiplication with Parentheses Problem

Solve the Expression: (29-4):5 Using Order of Operations

Solve (12+2)×(3+5): Order of Operations Practice Problem

Evaluate the Expression: (7+2)×(3+8) Using Order of Operations