Solve 5-30÷2×3+10: Order of Operations Challenge

Order of Operations with Mixed Division and Multiplication

Complete the exercise:

5−30:2×3+10= 5-30:2\times3+10=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Division and multiplication precede addition and subtraction - solve from left to right
00:20 Addition and subtraction - from left to right

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Complete the exercise:

5−30:2×3+10= 5-30:2\times3+10=

2

Step-by-step solution

According to the rules of the order of arithmetic operations, we must first place the multiplication and division exercises within parentheses:

5−(30:2×3)+10= 5-(30:2\times3)+10=

We then solve the exercise inside of the parentheses from left to right:

30:2=15 30:2=15

15×3=45 15\times3=45

We obtain the following exercise:

5−45+10= 5-45+10=

Finally we solve the exercise from left to right:

5−45=−40 5-45=-40

−40+10=−30 -40+10=-30

3

Final Answer

-30

Key Points to Remember

Essential concepts to master this topic
  • PEMDAS Rule: Division and multiplication are performed left to right
  • Technique: First calculate 30÷2=15 30÷2=15 , then 15×3=45 15×3=45
  • Check: Substitute final calculation: 5−45+10=−30 5-45+10=-30 ✓

Common Mistakes

Avoid these frequent errors
  • Performing operations in written order instead of PEMDAS
    Don't solve 5−30÷2×3+10 5-30÷2×3+10 from left to right = wrong answer like 15! This ignores the order of operations rules. Always perform division and multiplication first, working left to right within those operations.

Practice Quiz

Test your knowledge with interactive questions

Solve the following problem:

\( 15\times2\times8= \)

FAQ

Everything you need to know about this question

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

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Mathematics has specific rules called PEMDAS (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction). Without these rules, 2+3×4 2+3×4 could equal 20 or 14 - we need one correct answer!

Do I multiply before dividing in this problem?

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No! Division and multiplication have equal priority. Work from left to right: first 30÷2=15 30÷2=15 , then 15×3=45 15×3=45 .

What if I got a positive answer instead of negative?

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Check your subtraction! Many students forget that 5−45=−40 5-45=-40 (negative), then −40+10=−30 -40+10=-30 . The final answer should be negative.

How do I remember PEMDAS?

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Try "Please Excuse My Dear Aunt Sally" - but remember that Multiplication/Division and Addition/Subtraction work left to right within their groups!

Should I use parentheses to help solve this?

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Great idea! You can write 5−(30÷2×3)+10 5-(30÷2×3)+10 to clearly show which operations go first. This helps avoid mistakes with the order of operations.

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