Solve the Expression: 10-4:2×2 Using Order of Operations

Order of Operations with Division and Multiplication

104:2×2= 10-4:2\times2=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve the following expression
00:03 Always solve multiplication and division before addition and subtraction
00:06 Solve the operations within the parentheses first
00:09 Continue to solve the expression according to the correct order of operations
00:13 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

104:2×2= 10-4:2\times2=

2

Step-by-step solution

According to the rules of the order of operations, we first place multiplication and division exercises within parentheses:

10(4:2×2)= 10-(4:2\times2)=

We solve the exercise within parentheses from left to right:

4:2=2 4:2=2

2×2=4 2\times2=4

Now we obtain the exercise:

104=6 10-4=6

3

Final Answer

6 6

Key Points to Remember

Essential concepts to master this topic
  • Rule: Perform multiplication and division from left to right before subtraction
  • Technique: Group operations: 10-(4÷2×2) becomes 10-(2×2) = 10-4
  • Check: Verify each step: 4÷2=2, then 2×2=4, then 10-4=6 ✓

Common Mistakes

Avoid these frequent errors
  • Working from left to right without considering order of operations
    Don't calculate 10-4=6 first, then 6÷2×2=6! This ignores that multiplication and division have higher priority than subtraction. Always complete all multiplication and division operations before doing any addition or subtraction.

Practice Quiz

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\( 8 + 3 \times 2 = \)

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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Mathematical operations have a specific hierarchy! Multiplication and division are performed before addition and subtraction, regardless of their position. Think of it like urgent tasks that must be done first.

What does the colon (:) symbol mean in math?

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The colon (:) is another way to write division, just like the ÷ symbol. So 4:2 4:2 means the same as 4÷2 4÷2 or 42 \frac{4}{2} .

Should I use parentheses to help me solve this?

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Yes! Adding parentheses like 10(4:2×2) 10-(4:2×2) helps you see which operations to do first. It's like putting a box around the priority operations.

What if I get a different answer when I check my work?

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Go back and check each step carefully. Make sure you're doing division and multiplication first, working from left to right within those operations, before doing any subtraction.

Is there a memory trick to remember the order of operations?

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

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