Solve (30+6):4×3: Order of Operations Practice

Order of Operations with Mixed Arithmetic

(30+6):4×3= (30+6):4\times3=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Parentheses take precedence over all other operations
00:18 According to the order of operations hierarchy multiplication and division are at the same level, hence we solve from left to right
00:30 That's the solution!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

(30+6):4×3= (30+6):4\times3=

2

Step-by-step solution

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

30+6=36 30+6=36

Now we solve the exercise

36:4×3= 36:4\times3=

Since the exercise only involves multiplication and division operations, we solve from left to right:

36:4=9 36:4=9

9×3=27 9\times3=27

3

Final Answer

27

Key Points to Remember

Essential concepts to master this topic
  • PEMDAS Rule: Parentheses first, then multiplication and division left to right
  • Technique: First solve 30+6=36 30+6=36 , then 36:4=9 36:4=9 , finally 9×3=27 9\times3=27
  • Check: Work backwards: 27÷3=9 27\div3=9 and 9×4=36 9\times4=36 and 366=30 36-6=30

Common Mistakes

Avoid these frequent errors
  • Solving multiplication before division
    Don't solve 4×3=12 4\times3=12 first then 36:12=3 36:12=3 = wrong answer 3! Multiplication and division have equal priority, so you must work left to right. Always solve 36:4 36:4 first, then multiply by 3.

Practice Quiz

Test your knowledge with interactive questions

Solve the following problem:

\( 187\times(8-5)= \)

FAQ

Everything you need to know about this question

Why do I solve the parentheses first?

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Parentheses are the highest priority in PEMDAS! They tell you exactly which operation to do first, no matter what other operations are in the problem.

What does the colon (:) symbol mean?

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The colon (:) means division, just like the ÷ symbol. So 36:4 36:4 is the same as 36÷4=9 36\div4=9 .

Why don't I do multiplication before division?

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Multiplication and division have equal priority in PEMDAS! When you have both, you must work from left to right, not multiplication first.

How can I remember the correct order?

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Use PEMDAS: Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right).

What if I got 48 as my answer?

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You probably calculated 36+4×3=36+12=48 36+4\times3=36+12=48 . Remember: the colon means division, not addition! So it's 36:4×3 36:4\times3 .

Is there a way to check my work?

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Yes! Work backwards: start with 27, divide by 3 to get 9, then multiply by 4 to get 36. Finally, subtract 6 to get 30. If you get the original number, you're correct!

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