Solve (18-0)÷3: Order of Operations Division Problem

Q: Why do I need to solve the parentheses first when 18-0 is so simple?

Even though $ 18-0=18 $ seems obvious, following order of operations consistently builds good habits! In harder problems like $ (15-3)÷4 $, skipping this step leads to wrong answers.

Q: What does the colon (:) symbol mean in this problem?

The colon : means division, just like the ÷ symbol! So $ 18:3 $ is the same as $ 18÷3=6 $. Both symbols are commonly used in math.

Q: Could I get a different answer if I work left to right?

Not in this case, but yes in other problems! That's why we follow PEMDAS/BODMAS rules: Parentheses first, then division. This ensures everyone gets the same correct answer.

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

Without parentheses, $ 18-0÷3 $ would give a different answer! You'd do division first: $ 0÷3=0 $, then $ 18-0=18 $. Parentheses change the order completely.

Q: How can I remember the order of operations?

Use PEMDAS (Please Excuse My Dear Aunt Sally) or BODMAS (Brackets, Orders, Division/Multiplication, Addition/Subtraction). Both remind you that parentheses/brackets come first!

Order of Operations with Parentheses First

Solve the following exercise:

$(18-0):3=$

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Solve the following exercise:

$(18-0):3=$

Step-by-step solution

According to the order of operations rules, we must first solve the expression inside of the parentheses. Following this we will perform the division:

$18-0=18$

$18:3=6$

Final Answer

$6$

Key Points to Remember

Essential concepts to master this topic

Rule: Always solve expressions inside parentheses before other operations
Technique: Calculate 18-0=18, then divide 18÷3=6
Check: Verify final answer works: (18-0)÷3 = 18÷3 = 6 ✓

Common Mistakes

Avoid these frequent errors

Dividing before solving parentheses
Don't divide 18÷3 first and get 6-0=6! This ignores order of operations and can give wrong answers in more complex problems. Always solve parentheses first, then perform division.

Practice Quiz

Test your knowledge with interactive questions

Solve the following exercise:

$12+3\cdot0=$

FAQ

Everything you need to know about this question

Why do I need to solve the parentheses first when 18-0 is so simple?

Even though $18-0=18$ seems obvious, following order of operations consistently builds good habits! In harder problems like $(15-3)÷4$ , skipping this step leads to wrong answers.

What does the colon (:) symbol mean in this problem?

The colon : means division, just like the ÷ symbol! So $18:3$ is the same as $18÷3=6$ . Both symbols are commonly used in math.

Could I get a different answer if I work left to right?

Not in this case, but yes in other problems! That's why we follow PEMDAS/BODMAS rules: Parentheses first, then division. This ensures everyone gets the same correct answer.

What if there were no parentheses in this problem?

Without parentheses, $18-0÷3$ would give a different answer! You'd do division first: $0÷3=0$ , then $18-0=18$ . Parentheses change the order completely.

How can I remember the order of operations?

Use PEMDAS (Please Excuse My Dear Aunt Sally) or BODMAS (Brackets, Orders, Division/Multiplication, Addition/Subtraction). Both remind you that parentheses/brackets come first!

🌟 Unlock Your Math Potential

Get unlimited access to all 18 The Order of Operations questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime