Solve 20:4+3×2: Order of Operations Practice Problem

Order of Operations with Division Notation

20:4+3×2= 20:4+3\times2=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Multiplication and division come before addition and subtraction, so we'll start with them
00:13 Let's solve the exercises we marked
00:20 We're left with a simple addition exercise
00:22 That's the solution!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

20:4+3×2= 20:4+3\times2=

2

Step-by-step solution

According to the order of operations, we place the multiplication and division exercise within parentheses:

(20:4)+(3×2)= (20:4)+(3\times2)=

Now we solve the exercises within parentheses:

20:4=5 20:4=5

3×2=6 3\times2=6

And we obtain the exercise:

5+6=11 5+6=11

3

Final Answer

11

Key Points to Remember

Essential concepts to master this topic
  • PEMDAS Rule: Division and multiplication have equal priority, work left to right
  • Technique: Calculate 20:4=5 20:4 = 5 and 3×2=6 3×2 = 6 separately first
  • Check: Verify final answer: 5+6=11 5 + 6 = 11

Common Mistakes

Avoid these frequent errors
  • Working left to right without considering operation priority
    Don't calculate 20:4+3×2 = 5+3×2 = 8×2 = 16! This ignores that multiplication and division must be done before addition. Always complete all multiplication and division operations first, then add the results.

Practice Quiz

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\( 8 + 3 \times 2 = \)

FAQ

Everything you need to know about this question

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

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The colon (:) is another way to write division, just like ÷. So 20:4 20:4 means 20÷4=5 20 ÷ 4 = 5 .

Why can't I just solve from left to right like reading?

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Math has special rules called order of operations (PEMDAS). Multiplication and division must be done before addition and subtraction, regardless of position!

Do I really need parentheses like in the explanation?

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No, you don't write them in your work! The explanation uses parentheses to show you which operations to do first. Just remember: multiplication and division before addition.

What if there were more operations mixed together?

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Use PEMDAS: Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right). This order never changes!

How can I remember to do multiplication and division first?

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Think of it this way: multiplication and division are stronger operations that must be completed before the weaker addition and subtraction can happen.

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