Solve 15-3×(2+1): Order of Operations Practice

Order of Operations with Parentheses

15−3×(2+1)= 15-3\times(2+1)=

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

15−3×(2+1)= 15-3\times(2+1)=

2

Step-by-step solution

To solve 15−3×(2+1) 15-3\times(2+1) , start by calculating the expression inside the parentheses, 2+1=3 2+1 = 3 .

Next, multiply by 3: 3×3=9 3\times3 = 9 .

Now, subtract from 15: 15−9=6 15-9 = 6 .

The final answer is 6.

3

Final Answer

6

Key Points to Remember

Essential concepts to master this topic
  • Rule: Always solve parentheses first, then multiplication, then subtraction
  • Technique: Calculate (2+1)=3 (2+1) = 3 , then 3×3=9 3\times3 = 9 , finally 15−9=6 15-9 = 6
  • Check: Work backwards: 6+9=15 6+9 = 15 and 9÷3=3=(2+1) 9\div3 = 3 = (2+1) ✓

Common Mistakes

Avoid these frequent errors
  • Working left to right without following PEMDAS
    Don't calculate 15-3 = 12 first! This ignores order of operations and gives 12×(2+1) = 36 instead of 6. Always solve parentheses first, then multiplication, then subtraction.

Practice Quiz

Test your knowledge with interactive questions

Solve the following equation:

\( 30 - (10 + 7) = \)

FAQ

Everything you need to know about this question

What does PEMDAS mean and why is it important?

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PEMDAS stands for Parentheses, Exponents, Multiplication/Division, Addition/Subtraction. It tells us the correct order to solve math problems so everyone gets the same answer!

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

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Math has special rules that are different from reading! If we all worked left to right, we'd get different answers for the same problem. PEMDAS ensures consistency in mathematics.

What if there are no parentheses in the problem?

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Then you skip the parentheses step and move to the next operation! Remember: Exponents come next, then Multiplication and Division (left to right), finally Addition and Subtraction (left to right).

How do I remember the order of operations?

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Try the phrase "Please Excuse My Dear Aunt Sally" where each first letter matches PEMDAS. Or create your own memorable phrase using P-E-M-D-A-S!

What if I get a different answer than my friend?

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Check each step carefully using PEMDAS. One of you likely made an order mistake. Work through it together - the correct method will always give 15−3×(2+1)=6 15-3\times(2+1) = 6 .

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