Solve 6 - 2 × 3: Order of Operations Practice

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

The order of operations (PEMDAS/BODMAS) is a universal math rule! Multiplication must be done before subtraction, no matter where it appears in the expression.

Q: What if there were parentheses around 6 - 2?

Then you would subtract first! Parentheses are the highest priority in PEMDAS. So $ (6 - 2) \times 3 = 4 \times 3 = 12 $.

Q: How do I remember the order of operations?

Use the acronym PEMDAS: Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right). Some people remember "Please Excuse My Dear Aunt Sally"!

Q: What if I got 12 as my answer?

You likely calculated $ (6 - 2) \times 3 $ instead of $ 6 - (2 \times 3) $. Remember: multiplication always comes before subtraction unless parentheses say otherwise!

Order of Operations with Basic Multiplication

$6 - 2 \times 3 =$

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Understand the problem

$6 - 2 \times 3 =$

Step-by-step solution

To solve $6 - 2 \times 3$ , follow the order of operations:

First, perform the multiplication: $2 \times 3 = 6$ .
Then, subtract the result from 6: $6 - 6 = 0$ .

Thus, the answer is $0$ .

Final Answer

Key Points to Remember

Essential concepts to master this topic

Rule: Follow PEMDAS - multiplication comes before subtraction
Technique: Calculate $2 \times 3 = 6$ first, then $6 - 6 = 0$
Check: Verify by working left to right with correct order: multiplication then subtraction ✓

Common Mistakes

Avoid these frequent errors

Working left to right without considering order
Don't solve $6 - 2 \times 3$ as $(6 - 2) \times 3 = 4 \times 3 = 12$ ! This ignores the order of operations and gives the wrong answer. Always do multiplication before subtraction, regardless of position.

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?

The order of operations (PEMDAS/BODMAS) is a universal math rule! Multiplication must be done before subtraction, no matter where it appears in the expression.

What if there were parentheses around 6 - 2?

Then you would subtract first! Parentheses are the highest priority in PEMDAS. So $(6 - 2) \times 3 = 4 \times 3 = 12$ .

How do I remember the order of operations?

Use the acronym PEMDAS: Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right). Some people remember "Please Excuse My Dear Aunt Sally"!

What if I got 12 as my answer?

You likely calculated $(6 - 2) \times 3$ instead of $6 - (2 \times 3)$ . Remember: multiplication always comes before subtraction unless parentheses say otherwise!

Are there any tricks to avoid mistakes?

Circle or underline multiplication/division operations first
Solve them before moving to addition/subtraction
Use parentheses in your work: $6 - (2 \times 3) = 6 - 6 = 0$

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