Solve the Expression: 3+4÷2×1-9+4 Using Order of Operations

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

Mathematics has specific rules called PEMDAS (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction). These rules ensure everyone gets the same answer! Multiplication and division must be done before addition and subtraction.

Q: What if I have multiple multiplication and division operations?

When you have only multiplication and division operations, then you work from left to right. In $ 4÷2×1 $, first do $ 4÷2=2 $, then $ 2×1=2 $.

Q: How do I remember the order of operations?

Use PEMDAS: "Please Excuse My Dear Aunt Sally" or BODMAS: "Brackets, Orders, Division/Multiplication, Addition/Subtraction". Both mean the same thing!

Q: What should I do with negative numbers in the calculation?

Be extra careful with signs! When you get $ 5-9=-4 $, then $ -4+4=0 $. Adding a positive to a negative follows regular addition rules.

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

Yes! Writing $ 3+(4÷2×1)-9+4 $ can help you visualize which operations to do first. The parentheses show what gets calculated before addition and subtraction.

Order of Operations with Mixed Addition and Subtraction

Solve the following problem using the order of operations:

$3+4:2\times1-9+4=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 According to the order of operation rules; multiplication and division take precedence over addition and subtraction

00:12 Given that both multiplication and division are present, solve from left to right

00:15 Solve the marked part

00:22 Continue to the next multiplication

00:25 Any number multiplied by 1 remains the same number

00:32 Both addition and subtraction are present therefore we solve from left to right

00:49 That's the solution!

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:

$3+4:2\times1-9+4=$

Step-by-step solution

According to the order of operations rules, we first insert the multiplication and division exercises into parentheses:

$3+(4:2\times1)-9+4=$

We'll solve the exercise from left to right:

$4:2=2$

$2\times1=2$

And we'll obtain the following exercise:

$3+2-9+4=$

Since the exercise only contains subtraction operations, we'll solve it from left to right:

$3+2=5$

$5-9=-4$

$-4+4=0$

Final Answer

Key Points to Remember

Essential concepts to master this topic

Rule: Multiplication and division first, then addition and subtraction left to right
Technique: Group operations: $4÷2×1 = (4÷2)×1 = 2×1 = 2$
Check: Final calculation $3+2-9+4 = 0$ by working left to right ✓

Common Mistakes

Avoid these frequent errors

Solving left to right without considering operation priority
Don't solve $3+4÷2×1-9+4$ as $7÷2×1-9+4 = 3.5-5 = -1.5$ ! This ignores PEMDAS rules and gives wrong answers. Always do multiplication and division first, then addition and subtraction from left to right.

Practice Quiz

Test your knowledge with interactive questions

$8 + 3 \times 2 =$

FAQ

Everything you need to know about this question

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

Mathematics has specific rules called PEMDAS (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction). These rules ensure everyone gets the same answer! Multiplication and division must be done before addition and subtraction.

What if I have multiple multiplication and division operations?

When you have only multiplication and division operations, then you work from left to right. In $4÷2×1$ , first do $4÷2=2$ , then $2×1=2$ .

How do I remember the order of operations?

Use PEMDAS: "Please Excuse My Dear Aunt Sally" or BODMAS: "Brackets, Orders, Division/Multiplication, Addition/Subtraction". Both mean the same thing!

What should I do with negative numbers in the calculation?

Be extra careful with signs! When you get $5-9=-4$ , then $-4+4=0$ . Adding a positive to a negative follows regular addition rules.

Can I use parentheses to help me solve this?

Yes! Writing $3+(4÷2×1)-9+4$ can help you visualize which operations to do first. The parentheses show what gets calculated before addition and subtraction.

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Solve the Expression: 3+4÷2×1-9+4 Using Order of Operations

Order of Operations with Mixed Addition and Subtraction

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

What if I have multiple multiplication and division operations?

How do I remember the order of operations?

What should I do with negative numbers in the calculation?

Can I use parentheses to help me solve this?

🌟 Unlock Your Math Potential

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