Solve 10-(5+2×2)÷3: Order of Operations Practice

Order of Operations with Mixed Calculations

Solve the following:

10−(5+2×2)÷3= 10-(5+2\times2)\div3 =

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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:

10−(5+2×2)÷3= 10-(5+2\times2)\div3 =

2

Step-by-step solution

To solve the expression 10−(5+2×2)÷3 10-(5+2\times2)\div3 , follow the order of operations:

1. Parentheses: Calculate inside the parentheses first, performing multiplication first: 2×2=4 2\times2 = 4 . Therefore, it is 5+4=9 5+4=9 .

2. Division: Now, we have 10−9÷3 10-9\div3 . Perform the division: 9÷3=3 9\div3 =3 .

3. Subtraction: 10−3=7 10-3=7 ,

Thus, the answer is 7 7 .

3

Final Answer

7

Key Points to Remember

Essential concepts to master this topic
  • PEMDAS Rule: Parentheses first, then multiplication, division, and subtraction
  • Technique: Inside parentheses: 2×2=4 2\times2 = 4 , then 5+4=9 5+4=9
  • Check: Work left to right after parentheses: 10−9÷3=10−3=7 10-9\div3 = 10-3 = 7 ✓

Common Mistakes

Avoid these frequent errors
  • Working left to right without following PEMDAS
    Don't solve 10−(5+2×2)÷3 10-(5+2\times2)\div3 as 10−5+4÷3=9+1.33=10.33 10-5+4\div3 = 9+1.33 = 10.33 ! This ignores parentheses and division priority, giving completely wrong results. Always follow PEMDAS: parentheses first, then multiplication/division before addition/subtraction.

Practice Quiz

Test your knowledge with interactive questions

Solve the following equation:

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

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 called PEMDAS that ensures everyone gets the same answer. Working left to right would give different results depending on how you group operations!

What do I do first inside the parentheses (5+2×2)?

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Even inside parentheses, follow PEMDAS! Do multiplication first: 2×2=4 2\times2 = 4 , then addition: 5+4=9 5+4 = 9 .

Why is 9÷3 done before the subtraction?

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Division comes before subtraction in PEMDAS! So 10−9÷3 10-9\div3 becomes 10−3 10-3 , not 1÷3 1\div3 .

How can I remember PEMDAS?

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Try "Please Excuse My Dear Aunt Sally" - Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right).

What if I get a different answer?

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Go step by step slowly! Write each step: 10−(5+4)÷3=10−9÷3=10−3=7 10-(5+4)\div3 = 10-9\div3 = 10-3 = 7 . Double-check each calculation.

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