Solve 80÷(4×2): Order of Operations Practice Problem

Division with Parentheses First

80:(4×2)= 80:(4\times2)=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:03 Let's write division as a fraction
00:06 Let's calculate 4 times 2
00:11 Let's factor 80 into 8 and 10
00:16 Let's reduce what we can
00:19 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

80:(4×2)= 80:(4\times2)=

2

Step-by-step solution

According to the order of operations, we first solve the exercise within parentheses:

4×2=8 4\times2=8

Now we divide:

80:8=10 80:8=10

3

Final Answer

10 10

Key Points to Remember

Essential concepts to master this topic
  • Rule: Always solve operations inside parentheses before other operations
  • Technique: Calculate 4×2=8 4\times2=8 first, then divide 80:8=10 80:8=10
  • Check: Substitute back: 80:(4×2)=80:8=10 80:(4\times2) = 80:8 = 10

Common Mistakes

Avoid these frequent errors
  • Solving division before parentheses
    Don't calculate 80÷4 = 20 first and get 20×2 = 40! This ignores the parentheses and changes the problem completely. Always solve what's in parentheses first, then work outward.

Practice Quiz

Test your knowledge with interactive questions

\( 100-(5+55)= \)

FAQ

Everything you need to know about this question

Why can't I just divide 80 by 4 first?

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The parentheses tell you to multiply 4×2 first! If you divide first, you're changing the order and will get the wrong answer. Think of parentheses as a protective bubble that must be solved first.

What does the colon (:) mean in math?

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The colon (:) is another way to write division, just like ÷. So 80:8 80:8 means the same as 80÷8 80÷8 .

What if there were no parentheses in this problem?

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Without parentheses, you'd solve left to right: 80÷4×2=20×2=40 80÷4×2 = 20×2 = 40 . The parentheses change everything by forcing you to multiply first!

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). Parentheses always come first!

Can I check my answer a different way?

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Yes! You can think of it as: What number times 8 equals 80? Since 10×8=80 10×8=80 , the answer 10 is correct.

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