Solve 8+3×2: Order of Operations Practice Problem

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

Mathematics has a universal order called PEMDAS (or BODMAS). Without this order, the expression $ 8 + 3 \times 2 $ would have multiple different answers, causing confusion!

Q: What if there were parentheses like (8 + 3) × 2?

Then you would add first! Parentheses are the first step in PEMDAS, so (8 + 3) × 2 = 11 × 2 = 22. Parentheses change everything.

Q: How do I remember the order of operations?

PEMDAS: Please Excuse My Dear Aunt SallyParentheses/BracketsExponents/OrdersMultiplication and Division (left to right)Addition and Subtraction (left to right)

Q: What if I have multiple multiplications or additions?

When you have operations of the same priority level, work from left to right. For example: 6 ÷ 2 × 3 = 3 × 3 = 9 (not 6 ÷ 6 = 1).

Q: Is there a trick to avoid mistakes?

Yes! Circle or underline each multiplication and division first, solve those, then tackle addition and subtraction. This visual method helps you follow PEMDAS correctly.

Order of Operations with Mixed Calculations

$8+3 \times 2 =$

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Understand the problem

$8+3 \times 2 =$

Step-by-step solution

To solve $8+3 \times 2$ , follow the order of operations (PEMDAS/BODMAS): Parentheses or Brackets, Exponents or Orders, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

First, perform the multiplication: $3 \times 2 = 6$ .

Next, substitute back into the expression: $8 + 6 = 14$ .

Therefore, the correct answer is $14$ .

Final Answer

Key Points to Remember

Essential concepts to master this topic

PEMDAS Rule: Multiplication comes before addition in order of operations
Technique: First calculate $3 \times 2 = 6$ , then add to 8
Check: Verify by following PEMDAS: multiplication first gives 8 + 6 = 14 ✓

Common Mistakes

Avoid these frequent errors

Adding before multiplying
Don't work left to right like (8 + 3) × 2 = 22! This ignores the order of operations and gives completely wrong answers. Always follow PEMDAS and do multiplication before addition.

Practice Quiz

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$8 + 3 \times 2 =$

FAQ

Everything you need to know about this question

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

Mathematics has a universal order called PEMDAS (or BODMAS). Without this order, the expression $8 + 3 \times 2$ would have multiple different answers, causing confusion!

What if there were parentheses like (8 + 3) × 2?

Then you would add first! Parentheses are the first step in PEMDAS, so (8 + 3) × 2 = 11 × 2 = 22. Parentheses change everything.

How do I remember the order of operations?

PEMDAS: Please Excuse My Dear Aunt Sally

Parentheses/Brackets
Exponents/Orders
Multiplication and Division (left to right)
Addition and Subtraction (left to right)

What if I have multiple multiplications or additions?

When you have operations of the same priority level, work from left to right. For example: 6 ÷ 2 × 3 = 3 × 3 = 9 (not 6 ÷ 6 = 1).

Is there a trick to avoid mistakes?

Yes! Circle or underline each multiplication and division first, solve those, then tackle addition and subtraction. This visual method helps you follow PEMDAS correctly.

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