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

Order of Operations with Equal Priority

Solve the following expression:

10×2:4= ? 10\times2:4=\text{ ?}

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:05 Let's solve this expression together.
00:09 Start from the left and work through each step, one operation at a time.
00:15 Now divide.
00:18 Great job! Here is the solution.

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Solve the following expression:

10×2:4= ? 10\times2:4=\text{ ?}

2

Step-by-step solution

The division and multiplication have the same priority according to the order of operations, therefore we solve it from left to right:

102=20 10\cdot2=20

20/4=5 20/4=5

3

Final Answer

5

Key Points to Remember

Essential concepts to master this topic
  • Rule: Multiplication and division have equal priority in PEMDAS
  • Technique: Work left to right: 10×2=20 10\times2=20 , then 20÷4=5 20\div4=5
  • Check: Verify by following left-to-right order gives consistent result: 5 ✓

Common Mistakes

Avoid these frequent errors
  • Doing division before multiplication because it comes first in the expression
    Don't automatically do division first just because you see ÷ or : symbol = wrong answer like 10×(2÷4) = 5! This ignores the left-to-right rule for equal priority operations. Always work left to right when operations have the same priority level.

Practice Quiz

Test your knowledge with interactive questions

\( 8 + 3 \times 2 = \)

FAQ

Everything you need to know about this question

Why don't I do division first since it appears first in the problem?

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Great question! The order you see operations written doesn't determine the order you solve them. Since multiplication and division have equal priority, you must work from left to right regardless of which symbol appears first.

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

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The colon (:) is another way to write division, just like ÷ or /. So 10×2:4 10\times2:4 means the same as 10×2÷4 10\times2\div4 .

How do I remember the left-to-right rule?

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Think of it like reading! When operations have equal priority (like × and ÷), you work through them in the same order you read - from left to right. This applies to addition/subtraction too.

What would happen if I did the multiplication and division in the wrong order?

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You'd get the wrong answer! If you did 2÷4 2\div4 first, you'd get 10×0.5=5 10\times0.5=5 , which happens to be correct. But if the numbers were different, like 12×3:2 12\times3:2 , wrong order gives 18 instead of the correct answer 18.

Is PEMDAS the only order of operations rule I need to know?

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PEMDAS covers the main rules, but remember: MD (multiplication/division) and AS (addition/subtraction) are equal priority pairs. Always work left to right within each pair!

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