Solve: 9 Divided by 3 Times 2 - Order of Operations Practice

Q: Why don't I multiply first since M comes before D in PEMDAS?

Great question! While M does come before D in PEMDAS, multiplication and division have equal priority. When they appear together, you must work from left to right, just like reading!

Q: What if I accidentally did 9 ÷ (3 × 2) instead?

That would give you $ 9 \div 6 = 1.5 $, which is wrong! Without parentheses, you can't group operations together. Always follow the left-to-right rule for same-priority operations.

Q: How can I remember to go left to right?

Think of it like reading a sentence - you read from left to right! When division and multiplication are together, treat them like words in a sentence and solve them in order.

Q: Would the answer change if it was 2 × 3 ÷ 9?

Let's see: $ 2 \times 3 \div 9 = 6 \div 9 = \frac{2}{3} $. Yes, the order matters! Always work from left to right when operations have equal priority.

Q: Is there a way to double-check my work?

Yes! Use parentheses to show your thinking: $ (9 \div 3) \times 2 = 3 \times 2 = 6 $. If you get the same answer, you're correct!

Order of Operations with Left-to-Right Processing

$9 \div 3 \times 2 =$

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Understand the problem

$9 \div 3 \times 2 =$

Step-by-step solution

To solve the expression $9 \div 3 \times 2$ , follow the order of operations (PEMDAS/BODMAS), focusing on multiplication and division from left to right.

1. First, perform the division:

$9 \div 3 = 3$

2. Next, perform the multiplication:

$3 \times 2 = 6$

So, the final answer is $6$ .

Final Answer

Key Points to Remember

Essential concepts to master this topic

Rule: Division and multiplication have equal priority in PEMDAS
Technique: Work from left to right: 9 ÷ 3 = 3, then 3 × 2 = 6
Check: Verify by grouping: (9 ÷ 3) × 2 = 3 × 2 = 6 ✓

Common Mistakes

Avoid these frequent errors

Doing multiplication before division because M comes before D
Don't multiply 3 × 2 first to get 9 ÷ 6 = 1.5! This ignores the left-to-right rule when operations have equal priority. Always work from left to right when division and multiplication appear together.

Practice Quiz

Test your knowledge with interactive questions

$8 + 3 \times 2 =$

FAQ

Everything you need to know about this question

Why don't I multiply first since M comes before D in PEMDAS?

Great question! While M does come before D in PEMDAS, multiplication and division have equal priority. When they appear together, you must work from left to right, just like reading!

What if I accidentally did 9 ÷ (3 × 2) instead?

That would give you $9 \div 6 = 1.5$ , which is wrong! Without parentheses, you can't group operations together. Always follow the left-to-right rule for same-priority operations.

How can I remember to go left to right?

Think of it like reading a sentence - you read from left to right! When division and multiplication are together, treat them like words in a sentence and solve them in order.

Would the answer change if it was 2 × 3 ÷ 9?

Let's see: $2 \times 3 \div 9 = 6 \div 9 = \frac{2}{3}$ . Yes, the order matters! Always work from left to right when operations have equal priority.

Is there a way to double-check my work?

Yes! Use parentheses to show your thinking: $(9 \div 3) \times 2 = 3 \times 2 = 6$ . If you get the same answer, you're correct!

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