Solve the Expression: 30:5×2 Using Order of Operations

Order of Operations with Division Symbol

30:5×2= 30:5\times2=

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Step-by-step video solution

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00:00 Solve the following expression
00:03 Write the division operation as a fraction
00:12 Calculate 30 divided by 5 and continue
00:16 Here is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

30:5×2= 30:5\times2=

2

Step-by-step solution

According to the rules of the order of operations, the exercise which contains both multiplication and division should be solved from left to right.

30:5=6 30:5=6

6×2=12 6\times2=12

3

Final Answer

12

Key Points to Remember

Essential concepts to master this topic
  • Rule: Division and multiplication have equal priority, solve left to right
  • Technique: First calculate 30:5=6 30:5=6 , then 6×2=12 6\times2=12
  • Check: Verify by working through each step: 30÷5=6, then 6×2=12 ✓

Common Mistakes

Avoid these frequent errors
  • Doing multiplication before division
    Don't calculate 5×2=10 first, then 30÷10=3! This ignores left-to-right order and gives the wrong answer. Always work division and multiplication from left to right when they appear together.

Practice Quiz

Test your knowledge with interactive questions

\( 8 + 3 \times 2 = \)

FAQ

Everything you need to know about this question

Why can't I do the multiplication first since it looks easier?

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Order matters! Division and multiplication have equal priority, so you must work from left to right. Doing multiplication first would give you 3 instead of the correct answer 12.

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 30:5 30:5 means exactly the same as 30÷5 30÷5 .

Is there a trick to remember the order of operations?

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Yes! Use PEMDAS or BODMAS. The key is remembering that multiplication and division are equal priority - always work left to right when you see them together.

What if I accidentally did 5×2 first and got 3?

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That's a common mistake! You calculated 30÷(5×2)=30÷10=3 30÷(5×2) = 30÷10 = 3 instead of (30÷5)×2=6×2=12 (30÷5)×2 = 6×2 = 12 . Remember: no parentheses means left to right!

How can I double-check my work?

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Break it into steps and write each one down:

  • Step 1: 30:5=6 30:5 = 6
  • Step 2: 6×2=12 6×2 = 12

This prevents rushing and helps you catch errors!

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