Solve the Expression: Evaluating 18-(3+3) Step by Step

Order of Operations with Parentheses Priority

Solve the following equation:

18(3+3)= 18-(3+3)=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve the following expression
00:04 Always solve the parentheses first
00:08 Continue to solve the expression
00:11 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Solve the following equation:

18(3+3)= 18-(3+3)=

2

Step-by-step solution

Let's begin by simplifying the expression following the order of operations.

P- PARENTHESES

E-EXPONENTS

D-DIVISION

A-ADDITION

S-SUBTRACTION

18(3+3)=186=12 18-(3+3)= \\ 18-6= \\ 12

Therefore the correct answer is answer D.

3

Final Answer

12

Key Points to Remember

Essential concepts to master this topic
  • PEMDAS Rule: Always solve parentheses first, then proceed left to right
  • Technique: Calculate 3+3=6, then subtract: 18-6=12
  • Check: Verify by working backwards: 12+6=18, and 6=(3+3) ✓

Common Mistakes

Avoid these frequent errors
  • Ignoring parentheses and calculating left to right
    Don't calculate 18-3+3=18 by going left to right = wrong answer of 18! This ignores the parentheses which change the order completely. Always solve what's inside parentheses first, then continue.

Practice Quiz

Test your knowledge with interactive questions

Solve:

\( -5+4+1-3 \)

FAQ

Everything you need to know about this question

Why can't I just solve from left to right like reading?

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Mathematics has a specific order of operations (PEMDAS) that's different from reading! Parentheses always come first, no matter where they appear in the expression.

What if there are multiple sets of parentheses?

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Solve each set of parentheses separately first, then proceed with the rest of the expression. Work from the innermost parentheses outward if they're nested.

Is 18-(3+3) the same as 18-3+3?

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No! The parentheses make a huge difference: 18(3+3)=186=12 18-(3+3) = 18-6 = 12 but 183+3=15+3=18 18-3+3 = 15+3 = 18

How do I remember the order of operations?

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Use the acronym PEMDAS: Please Excuse My Dear Aunt Sally. It stands for Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

What happens if I forget to do parentheses first?

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You'll get the wrong answer! In this problem, skipping parentheses gives you 18 instead of the correct answer 12. Always double-check for parentheses before starting any calculation.

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