Solve 10-(10-4)÷2: Order of Operations Practice

Order of Operations with Division Symbols

Solve the following expression:

10(104):2= 10-(10-4):2=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:06 Let's solve this expression together!
00:09 First, remember to solve what's in the parentheses.
00:13 Next, do multiplication and division, before addition and subtraction.
00:24 Now, let's finish solving the expression.
00:28 And that's how we find the solution! Great job!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Solve the following expression:

10(104):2= 10-(10-4):2=

2

Step-by-step solution

Let's simplify this expression while following the order of operations which states that exponents come before multiplication and division, which come before addition and subtraction, and that parentheses come before all of them,

Therefore we'll start by simplifying the expression inside the parentheses and perform the subtraction within them, then since division comes before subtraction, we'll first perform the division operation and then the subtraction operation

10(104):2=106:2=103=7 10-(10-4):2= \\ 10-6:2= \\ 10-3=\\ 7 Therefore the correct answer is answer D.

3

Final Answer

7 7

Key Points to Remember

Essential concepts to master this topic
  • PEMDAS Rule: Parentheses first, then division, finally subtraction
  • Technique: Calculate (10-4) = 6, then 6÷2 = 3, finally 10-3 = 7
  • Check: Verify each step follows order: parentheses→division→subtraction = 7 ✓

Common Mistakes

Avoid these frequent errors
  • Working left to right without following order of operations
    Don't solve 10-10+4÷2 by going left to right = 2! This ignores that division comes before subtraction. Always do parentheses first, then division, then subtraction to get the correct answer of 7.

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 specific order of operations (PEMDAS) that must be followed! Working left to right gives wrong answers because some operations are more 'powerful' than others.

What does the colon (:) symbol mean in this problem?

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The colon (:) is another way to write division, just like ÷. So 6:2 6:2 means the same as 6÷2=3 6÷2 = 3 .

How do I remember the order of operations?

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Use PEMDAS: Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right). A helpful phrase is 'Please Excuse My Dear Aunt Sally'!

What if I get a different answer when checking?

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If your check doesn't work, you likely made an order of operations error. Go back and carefully follow PEMDAS step by step, writing each step clearly.

Do I always do multiplication and division before addition and subtraction?

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Yes! Multiplication and division are always done before addition and subtraction, unless parentheses change the order. This is a fundamental rule in mathematics.

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