Solve the Triple Multiplication: 12 × 5 × 6

Q: Does it matter which order I multiply the numbers?

No! Multiplication is commutative, so you can multiply in any order. Try $ 12 \times 5 \times 6 $ or $ 6 \times 5 \times 12 $ - you'll get 360 either way!

Q: Can I multiply 5 × 6 first instead?

Absolutely! You can group them as $ 12 \times (5 \times 6) = 12 \times 30 = 360 $. This is often easier when you spot friendly numbers that multiply to nice round numbers.

Q: What if I forget a step and get confused?

Break it down into two separate multiplications. Write: Step 1: $ 12 \times 5 = ? $, Step 2: Take that answer $ \times 6 = ? $. This prevents mistakes!

Q: How can I check if 360 is reasonable?

Use estimation! Round to $ 10 \times 5 \times 6 = 300 $. Since 360 is close to 300, it makes sense. If you got 36 or 3600, you'd know something went wrong.

Q: Why do some people get 132 as an answer?

They probably added instead of multiplied: $ 12 + 5 + 6 = 23 $, then maybe multiplied by something else. Always double-check that you're using the right operation!

Triple Multiplication with Left-to-Right Operations

$12\times5\times6=$

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:03 Let's solve according to the order of operations, solving from left to right

00:10 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$12\times5\times6=$

Step-by-step solution

According to the rules of the order of operations, we solve the exercise from left to right:

$12\times5=60$

$60\times6=360$

Final Answer

360

Key Points to Remember

Essential concepts to master this topic

Order Rule: Multiply from left to right when operations have equal priority
Technique: Calculate $12 \times 5 = 60$ , then $60 \times 6 = 360$
Check: Verify by trying different grouping: $12 \times (5 \times 6) = 12 \times 30 = 360$ ✓

Common Mistakes

Avoid these frequent errors

Adding instead of multiplying all three numbers
Don't calculate 12 + 5 + 6 = 23! This completely ignores the multiplication signs and gives a much smaller result. Always follow the operation symbols shown - multiply each pair in sequence from left to right.

Practice Quiz

Test your knowledge with interactive questions

$$ 100-(30-21)= $$

FAQ

Everything you need to know about this question

Does it matter which order I multiply the numbers?

No! Multiplication is commutative, so you can multiply in any order. Try $12 \times 5 \times 6$ or $6 \times 5 \times 12$ - you'll get 360 either way!

Can I multiply 5 × 6 first instead?

Absolutely! You can group them as $12 \times (5 \times 6) = 12 \times 30 = 360$ . This is often easier when you spot friendly numbers that multiply to nice round numbers.

What if I forget a step and get confused?

Break it down into two separate multiplications. Write: Step 1: $12 \times 5 = ?$ , Step 2: Take that answer $\times 6 = ?$ . This prevents mistakes!

How can I check if 360 is reasonable?

Use estimation! Round to $10 \times 5 \times 6 = 300$ . Since 360 is close to 300, it makes sense. If you got 36 or 3600, you'd know something went wrong.

Why do some people get 132 as an answer?

They probably added instead of multiplied: $12 + 5 + 6 = 23$ , then maybe multiplied by something else. Always double-check that you're using the right operation!

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Commutative, Distributive and Associative Properties questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime