Evaluate 15 + 3 × (6 - 2): Order of Operations Practice

Order of Operations with Mixed Arithmetic

15+3×(62)= 15 + 3 \times (6 - 2) =

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1

Understand the problem

15+3×(62)= 15 + 3 \times (6 - 2) =

2

Step-by-step solution

To solve the expression 15+3×(62) 15 + 3 \times (6 - 2) , follow the order of operations (PEMDAS/BODMAS):

1. **Parentheses**: Solve inside the parentheses first.

62=4 6 - 2 = 4

2. **Multiplication**: Next, perform the multiplication.

3×4=12 3 \times 4 = 12

3. **Addition**: Finally, perform the addition.

15+12=27 15 + 12 = 27

Thus, the correct answer is 27 27 .

3

Final Answer

27 27

Key Points to Remember

Essential concepts to master this topic
  • Rule: Follow PEMDAS/BODMAS order: parentheses, multiplication, then addition
  • Technique: Calculate 62=4 6 - 2 = 4 , then 3×4=12 3 \times 4 = 12 , finally 15+12 15 + 12
  • Check: Work left to right within same priority: 15+3×4=15+12=27 15 + 3 \times 4 = 15 + 12 = 27

Common Mistakes

Avoid these frequent errors
  • Working left to right without considering operation priority
    Don't calculate 15 + 3 = 18 first, then multiply by 4 to get 72! This ignores order of operations and multiplication must come before addition. Always solve parentheses first, then multiplication, then addition.

Practice Quiz

Test your knowledge with interactive questions

Solve the following equation:

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

FAQ

Everything you need to know about this question

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

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Mathematical operations have a specific order that must be followed! If we worked left to right, the expression 2+3×4 2 + 3 \times 4 would equal 20 instead of 14, which breaks mathematical rules.

What does PEMDAS mean exactly?

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PEMDAS stands for: Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right). Remember: "Please Excuse My Dear Aunt Sally!"

Do I always solve what's in parentheses first?

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Always! Parentheses have the highest priority in PEMDAS. Even if there's just subtraction like (62) (6 - 2) , you must solve it first before any other operations.

What if I get a different answer when I check my work?

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Go back and check each step carefully! Make sure you followed PEMDAS order. The most common error is doing addition before multiplication, which gives wrong answers.

Can I use a calculator for order of operations?

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Yes, but be careful! Most calculators follow PEMDAS automatically, but some simple ones don't. Always double-check by doing the steps manually to understand the process.

Is BODMAS the same as PEMDAS?

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Yes! BODMAS stands for Brackets, Orders, Division/Multiplication, Addition/Subtraction. It's the same concept as PEMDAS, just different letters for the same operations.

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