Solve the Expression: (18-0)÷3 Using Order of Operations

Order of Operations with Parentheses First

(180):3= (18-0):3=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:05 Let's solve this problem together.
00:08 Remember, always start with the parentheses. They're the first step.
00:13 Next, subtracting zero from any number leaves the number unchanged.
00:18 And there you have it! That's how we solve this question.

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

(180):3= (18-0):3=

2

Step-by-step solution

According to the order of operations, we first solve the expression in parentheses:

180=18 18-0=18

Now we divide:

18:3=6 18:3=6

3

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
  • Check: Verify by substituting: (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 only works by accident here. Always solve parentheses completely before moving to division or other operations.

Practice Quiz

Test your knowledge with interactive questions

\( 100+5-100+5 \)

FAQ

Everything you need to know about this question

Why do I have to do the parentheses first when 18-0 is so easy?

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Even when parentheses contain simple operations like 18-0, you must follow the order of operations! This builds good habits for harder problems like (153)÷4 (15-3)÷4 .

What if I forget to do parentheses first?

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You might get lucky with easy problems, but harder expressions will give wrong answers. For example: (128)÷2 (12-8)÷2 equals 2, but doing division first gives the wrong answer!

Is 18÷3 the same as 18:3?

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Yes! The symbols ÷ and : both mean division. So 18÷3=18:3=6 18÷3 = 18:3 = 6 . Different countries sometimes use different division symbols.

What comes after parentheses in order of operations?

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After parentheses, follow PEMDAS:

  • Parentheses (done!)
  • Exponents
  • Multiplication and Division (left to right)
  • Addition and Subtraction (left to right)

Why is the answer 6 and not 3 or 18?

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Following order of operations: (180)=18 (18-0) = 18 , then 18÷3=6 18÷3 = 6 . The answer 3 would come from wrong division, and 18 would mean forgetting to divide!

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