Solve 25 - (8 + 5): Order of Operations Practice

Order of Operations with Parentheses First

Solve the following equation:

25(8+5)= 25 - (8 + 5) =

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Solve the following equation:

25(8+5)= 25 - (8 + 5) =

2

Step-by-step solution

First, solve the expression inside the parentheses:
8+5=138 + 5 = 13

Then subtract from 25:
2513=1225 - 13 = 12

3

Final Answer

12

Key Points to Remember

Essential concepts to master this topic
  • Rule: Always solve expressions inside parentheses before other operations
  • Technique: Calculate 8+5=13 8 + 5 = 13 first, then 2513=12 25 - 13 = 12
  • Check: Work left to right after parentheses: 25 - 13 = 12 ✓

Common Mistakes

Avoid these frequent errors
  • Working left to right without doing parentheses first
    Don't calculate 25 - 8 + 5 = 22! This ignores the parentheses and changes the meaning completely. The parentheses group 8 + 5 together, so you must solve that part first. Always complete all operations inside parentheses before moving to subtraction.

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 like reading?

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Mathematics has a special order of operations that's different from reading! Parentheses always come first because they group numbers together. Think of them as a mathematical container that must be opened first.

What if there are no parentheses in the problem?

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Then you follow the regular order: multiplication and division first (left to right), then addition and subtraction (left to right). But parentheses always take priority when they're present!

Can I remove the parentheses and get the same answer?

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No! 25(8+5) 25 - (8 + 5) is completely different from 258+5 25 - 8 + 5 . The first equals 12, but the second equals 22. Parentheses change the meaning!

What happens if I forget to do the parentheses first?

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You'll get the wrong answer! In this problem, working left to right gives 22 instead of the correct answer 12. Always look for parentheses first before starting any calculation.

How do I remember to do parentheses first?

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Use the acronym PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction. Or remember: Please Excuse My Dear Aunt Sally. Parentheses are always first!

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