Mathematical Expression Comparison: Identifying Maximum Value Results

Q: Why can't I just solve from left to right like reading?

Mathematics has a specific order of operations (PEMDAS) that everyone follows worldwide! Without it, $ 2+3\times4 $ could equal either 20 or 14 - we need rules to get the same answer every time.

Q: How do I remember to multiply first?

Think of PEMDAS: Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right). Multiplication always comes before addition!

Q: What if there are parentheses in the expression?

Parentheses are always first! Solve anything inside parentheses before applying other operations. For example: $ (4\times11)+10 $ means do the multiplication inside first.

Q: How can I double-check my order of operations?

Underline or circle the operation you're doing next. For $ 9+8\times5+7 $, circle the $ \times $ first, then work left to right for addition.

Q: Why do some expressions give the same result?

Sometimes different expressions are mathematically equivalent! Like $ 4\times11+10 $ and $ 9\times3+9\times3 $ both equal 54, but they use different operations to reach the same value.

Order of Operations with Multi-Step Calculations

Choose the exercise for the highest result

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:03 Let's solve four exercises to find the largest number. Ready?

00:10 Remember, we always do multiplication before we add or subtract. Got it?

00:23 This rule applies here and in the next exercises: multiplication comes first. Let's practice!

Step-by-step written solution

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Understand the problem

Choose the exercise for the highest result

Step-by-step solution

Let's solve exercise A:

$(4\times11)+10=44+10=54$

Let's solve exercise B:

$(9\times3)+(9\times3)=27+27=54$

Let's solve exercise C:

$9+(8\times5)+7=9+40+7=49+7=56$

Let's solve exercise D:

$5+(5\times10)=5+50=55$

Final Answer

$9+8\times5+7$

Key Points to Remember

Essential concepts to master this topic

PEMDAS Rule: Always multiply before adding to get correct results
Technique: Calculate $8\times5 = 40$ first, then $9+40+7 = 56$
Check: Verify each expression gives different results: 54, 54, 56, 55 ✓

Common Mistakes

Avoid these frequent errors

Adding numbers from left to right without following PEMDAS
Don't solve $9+8\times5+7$ as $17\times5+7 = 92$ ! This ignores order of operations and gives completely wrong answers. Always multiply first, then add the remaining terms.

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?

Mathematics has a specific order of operations (PEMDAS) that everyone follows worldwide! Without it, $2+3\times4$ could equal either 20 or 14 - we need rules to get the same answer every time.

How do I remember to multiply first?

Think of PEMDAS: Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right). Multiplication always comes before addition!

What if there are parentheses in the expression?

Parentheses are always first! Solve anything inside parentheses before applying other operations. For example: $(4\times11)+10$ means do the multiplication inside first.

How can I double-check my order of operations?

Underline or circle the operation you're doing next. For $9+8\times5+7$ , circle the $\times$ first, then work left to right for addition.

Why do some expressions give the same result?

Sometimes different expressions are mathematically equivalent! Like $4\times11+10$ and $9\times3+9\times3$ both equal 54, but they use different operations to reach the same value.

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Mathematical Expression Comparison: Identifying Maximum Value Results

Order of Operations with Multi-Step Calculations

❤️ 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 can't I just solve from left to right like reading?

How do I remember to multiply first?

What if there are parentheses in the expression?

How can I double-check my order of operations?

Why do some expressions give the same result?

🌟 Unlock Your Math Potential

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