Solve Expression: 6 + 2 × 5 - 4 Using Order of Operations

Q: Why can't I just work from left to right?

Working left to right ignores the order of operations (PEMDAS). Multiplication must be done before addition and subtraction, no matter where it appears in the expression.

Q: How do I remember which operations come first?

Remember: Multiplication and Division always come before Addition and Subtraction. Think of it as 'strong operations first, then weak operations.'

Q: What if there are no parentheses in the problem?

That's fine! Just follow the remaining order: do all multiplication and division first (left to right), then all addition and subtraction (left to right).

Q: Is there another way to remember the order of operations?

Yes! Some people use BODMAS: Brackets, Orders (exponents), Division and Multiplication, Addition and Subtraction. It's the same rule!

Order of Operations with Mixed Calculations

$6 + 2 \times 5 - 4 =$

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Understand the problem

$6 + 2 \times 5 - 4 =$

Step-by-step solution

1. Follow the order of operations (PEMDAS/BODMAS).

2. First do the multiplication: $2 \times 5 = 10$ .

3. Then, perform the addition: $6 + 10 = 16$ .

4. Finally, subtract: $16 - 4 = 12$ .

Final Answer

Key Points to Remember

Essential concepts to master this topic

PEMDAS Rule: Multiplication comes before addition and subtraction operations
Technique: Calculate $2 \times 5 = 10$ first, then work left to right
Check: Final calculation: $6 + 10 - 4 = 12$ ✓

Common Mistakes

Avoid these frequent errors

Working left to right without following PEMDAS
Don't calculate 6 + 2 = 8 first, then 8 × 5 = 40, then 40 - 4 = 36! This ignores order of operations and gives the wrong answer. Always multiply 2 × 5 first before doing any addition or subtraction.

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 just work from left to right?

Working left to right ignores the order of operations (PEMDAS). Multiplication must be done before addition and subtraction, no matter where it appears in the expression.

What does PEMDAS stand for?

Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right). This order ensures everyone gets the same answer!

How do I remember which operations come first?

Remember: Multiplication and Division always come before Addition and Subtraction. Think of it as 'strong operations first, then weak operations.'

What if there are no parentheses in the problem?

That's fine! Just follow the remaining order: do all multiplication and division first (left to right), then all addition and subtraction (left to right).

Is there another way to remember the order of operations?

Yes! Some people use BODMAS: Brackets, Orders (exponents), Division and Multiplication, Addition and Subtraction. It's the same rule!

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