Solve 25-3×4+4×2: Order of Operations Challenge

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

The order of operations (PEMDAS) is a universal mathematical rule! Working left to right would give different mathematicians different answers for the same problem, which would be chaos.

Q: Should I use parentheses to help me solve this?

Great idea! Adding parentheses like $ 25-(3\times4)+(4\times2) $ helps you see which operations to do first. It's like highlighting the multiplication steps!

Q: What if I get a different answer than 21?

Double-check your multiplication: $ 3\times4=12 $ and $ 4\times2=8 $. Then work left to right: $ 25-12+8=13+8=21 $. Common wrong answers are 94, 22, or 25.

Q: Do I add before I subtract in this problem?

No! After multiplication, work left to right for addition and subtraction. So $ 25-12+8 $ becomes $ 13+8=21 $, not $ 25-20=-5 $.

Order of Operations with Mixed Arithmetic

Solve the following problem using the order of operations:

$25-3\times4+4\times2=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:10 Remember, multiplication and division come first in math problems. They are more important than addition and subtraction.

00:21 Addition and subtraction are equal in rank. Solve them from left to right.

00:28 And that's the solution! Great job!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Solve the following problem using the order of operations:

$25-3\times4+4\times2=$

Step-by-step solution

According to the order of operations, we will first solve the multiplication exercises.

We will put them in parentheses so that we don't get confused later in the solution:

$25-(3\times4)+(4\times2)=$

Let's solve the multiplication exercises:

$3\times4=12$

$4\times2=8$

We get:

$25-12+8=$

Let's solve the exercise from left to right:

$25-12=13$

$13+8=21$

Final Answer

$21$

Key Points to Remember

Essential concepts to master this topic

PEMDAS Rule: Multiplication comes before addition and subtraction
Technique: Calculate 3×4=12 and 4×2=8 first, then solve 25-12+8
Check: Work left to right after multiplication: 25-12=13, then 13+8=21 ✓

Common Mistakes

Avoid these frequent errors

Working left to right without doing multiplication first
Don't solve 25-3=22, then 22×4=88! This ignores the order of operations and gives wildly wrong answers like 94 or 22. Always complete all multiplication before any addition or 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 work from left to right?

The order of operations (PEMDAS) is a universal mathematical rule! Working left to right would give different mathematicians different answers for the same problem, which would be chaos.

What does PEMDAS stand for again?

Parentheses, Exponents, Multiplication and Division (left to right), Addition and Ssubtraction (left to right). Remember: "Please Excuse My Dear Aunt Sally"

Should I use parentheses to help me solve this?

Great idea! Adding parentheses like $25-(3\times4)+(4\times2)$ helps you see which operations to do first. It's like highlighting the multiplication steps!

What if I get a different answer than 21?

Double-check your multiplication: $3\times4=12$ and $4\times2=8$ . Then work left to right: $25-12+8=13+8=21$ . Common wrong answers are 94, 22, or 25.

Do I add before I subtract in this problem?

No! After multiplication, work left to right for addition and subtraction. So $25-12+8$ becomes $13+8=21$ , not $25-20=-5$ .

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Solve 25-3×4+4×2: Order of Operations Challenge

Order of Operations with Mixed Arithmetic

❤️ 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 work from left to right?

What does PEMDAS stand for again?

Should I use parentheses to help me solve this?

What if I get a different answer than 21?

Do I add before I subtract in this problem?

🌟 Unlock Your Math Potential

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