Solve the Expression: 20÷(4+1)-3 Using Order of Operations

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

Order of operations rules ensure everyone gets the same answer! Without PEMDAS, $ 20\div(4+1)-3 $ could have multiple interpretations. The parentheses tell us to add 4+1 first.

Q: What if there were no parentheses in this problem?

Without parentheses, $ 20\div4+1-3 $ would equal 2 because division comes before addition and subtraction in PEMDAS order.

Q: Do I always have to solve parentheses first?

Yes, always! Parentheses have the highest priority in PEMDAS. They override the normal left-to-right order and must be solved first, no matter where they appear.

Q: How do I remember the order of operations?

Use the memory device PEMDAS: Please Excuse My Dear Aunt Sally. This stands for Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right).

Order of Operations with Parentheses and Division

$20\div(4+1)-3=$

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$20\div(4+1)-3=$

Step-by-step solution

To solve $20\div(4+1)-3$ , start by simplifying inside the parentheses: $4+1 = 5$ .

Next, divide 20 by 5: $20\div5 = 4$ .

Then subtract 3: $4-3 = 1$ .

The final answer is 1.

Final Answer

Key Points to Remember

Essential concepts to master this topic

PEMDAS Rule: Parentheses first, then multiplication/division, finally addition/subtraction
Technique: Simplify $4+1 = 5$ before dividing $20\div5 = 4$
Check: Work left to right: $20\div(4+1)-3 = 20\div5-3 = 4-3 = 1$ ✓

Common Mistakes

Avoid these frequent errors

Working left to right without following PEMDAS
Don't solve $20\div4+1-3 = 5+1-3 = 3$ ! This ignores parentheses and gives the wrong answer. Always solve what's inside parentheses first before any other operations.

Practice Quiz

Test your knowledge with interactive questions

Solve the following equation:

$$ 25 - (8 + 5) = $$

FAQ

Everything you need to know about this question

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

Order of operations rules ensure everyone gets the same answer! Without PEMDAS, $20\div(4+1)-3$ could have multiple interpretations. The parentheses tell us to add 4+1 first.

What if there were no parentheses in this problem?

Without parentheses, $20\div4+1-3$ would equal 2 because division comes before addition and subtraction in PEMDAS order.

Do I always have to solve parentheses first?

Yes, always! Parentheses have the highest priority in PEMDAS. They override the normal left-to-right order and must be solved first, no matter where they appear.

How do I remember the order of operations?

Use the memory device PEMDAS: Please Excuse My Dear Aunt Sally. This stands for Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right).

What if I get a different answer when I check my work?

Double-check each step! Make sure you solved the parentheses first: $4+1=5$ , then division: $20\div5=4$ , then subtraction: $4-3=1$ .

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Solve the Expression: 20÷(4+1)-3 Using Order of Operations

Order of Operations with Parentheses and Division

❤️ Continue Your Math Journey!

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 if there were no parentheses in this problem?

Do I always have to solve parentheses first?

How do I remember the order of operations?

What if I get a different answer when I check my work?

🌟 Unlock Your Math Potential

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