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

What is the result of the following equation?

$36-4\div2$

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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