Solve Mixed Operations: 2×4+4÷2 Step-by-Step

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

Mathematics has a special order of operations (PEMDAS/BODMAS) that we must follow. This ensures everyone gets the same answer! Multiplication and division are performed before addition and subtraction.

Q: What does the colon symbol (:) mean in 4:2?

The colon (:) means division, just like the ÷ symbol. So $ 4:2 $ is the same as $ 4÷2=2 $.

Q: How do I remember the order of operations?

Use the acronym PEMDAS: Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right). Some people remember it as 'Please Excuse My Dear Aunt Sally'!

Q: Do I need parentheses to show the order?

You don't need to write parentheses, but they can help! Writing $ (2×4)+(4÷2) $ makes it clearer which operations to do first.

Q: What if I get a different answer?

Check your work step by step! Make sure you calculated $ 2×4=8 $ and $ 4÷2=2 $ correctly, then added: $ 8+2=10 $.

Order of Operations with Mixed Calculations

$2\times4+4:2=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:04 Let's solve a math problem together.

00:07 Remember, we always tackle multiplication and division first, before moving on to addition and subtraction.

00:14 And there you have it! That's how we find the solution.

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$2\times4+4:2=$

Step-by-step solution

According to the order of operations, we first place multiplication and division exercises in parentheses:

$(2\times4)+(4:2)=$

We solve the exercises in parentheses:

$2\times4=8$

$4:2=2$

We obtain the exercise:

$8+2=10$

Final Answer

$10$

Key Points to Remember

Essential concepts to master this topic

Rule: Multiplication and division operations are performed before addition and subtraction
Technique: Calculate $2×4=8$ and $4÷2=2$ first, then add
Check: Final result should be $8+2=10$ when operations follow PEMDAS order ✓

Common Mistakes

Avoid these frequent errors

Working left to right without considering operation priority
Don't solve 2×4+4÷2 as (2×4+4)÷2 = 12÷2 = 6! This ignores the order of operations rule and gives the wrong answer. Always perform multiplication and division first, then addition and subtraction from left to right.

Practice Quiz

Test your knowledge with interactive questions

Solve:

$$ -5+4+1-3 $$

FAQ

Everything you need to know about this question

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

Mathematics has a special order of operations (PEMDAS/BODMAS) that we must follow. This ensures everyone gets the same answer! Multiplication and division are performed before addition and subtraction.

What does the colon symbol (:) mean in 4:2?

The colon (:) means division, just like the ÷ symbol. So $4:2$ is the same as $4÷2=2$ .

How do I remember the order of operations?

Use the acronym PEMDAS: Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right). Some people remember it as 'Please Excuse My Dear Aunt Sally'!

Do I need parentheses to show the order?

You don't need to write parentheses, but they can help! Writing $(2×4)+(4÷2)$ makes it clearer which operations to do first.

What if I get a different answer?

Check your work step by step! Make sure you calculated $2×4=8$ and $4÷2=2$ correctly, then added: $8+2=10$ .

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