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

Solve the following equation:

\( 30 - (10 + 7) = \)

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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