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:

$(18-0):3=$

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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

$$ 0+0.2+0.6= $$ ?

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!

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