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

What is the result of the following equation?

$36-4\div2$

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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