Solve the Multiplication Problem: 35×6×2 Step by Step

Q: Does the order I multiply the numbers matter?

No! Thanks to the commutative property, you can multiply in any order. $ 35\times6\times2 $ gives the same result as $ 6\times35\times2 $ or $ 2\times35\times6 $.

Q: Why is the explanation showing 70×2 instead of 210×2?

There's an error in the given explanation! It should be $ 35\times6=210 $, then $ 210\times2=420 $. The explanation incorrectly shows 70×2 instead of the correct second step.

Q: Can I group the numbers differently to make it easier?

Absolutely! You could calculate $ 6\times2=12 $ first, then $ 35\times12=420 $. Or try $ 35\times2=70 $, then $ 70\times6=420 $. All methods give the same answer!

Q: How can I multiply 35×6 quickly in my head?

Break it down: $ 35\times6 = (30+5)\times6 = 30\times6 + 5\times6 = 180 + 30 = 210 $. This distributive property makes mental math much easier!

Q: What if I accidentally calculated 35×2×6 instead?

You'll still get the same answer! Since multiplication is commutative, changing the order doesn't affect the result. $ 35\times2\times6 = 70\times6 = 420 $.

Multiplication Order with Multi-Step Operations

$35\times6\times2=$

❤️ 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 We will use the commutative law to make it easier to solve

00:12 We will solve the multiplication separately and continue solving

00:19 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

$35\times6\times2=$

Step-by-step solution

According to the rules of the order of operations, you can use the substitution property and organize the exercise in a more convenient way to calculate:

$35\times2\times6=$

We solve the exercise from left to right:

$35\times2=70$

$70\times2=140$

Final Answer

420

Key Points to Remember

Essential concepts to master this topic

Order Rule: Multiply from left to right when operations have equal priority
Technique: First calculate 35×6 = 210, then 210×2 = 420
Check: Try alternative grouping: 35×(6×2) = 35×12 = 420 ✓

Common Mistakes

Avoid these frequent errors

Adding instead of multiplying all numbers
Don't calculate 35+6+2 = 43 instead of multiplying! This completely changes the operation and gives a much smaller result. Always perform multiplication when you see × symbols between numbers.

Practice Quiz

Test your knowledge with interactive questions

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

FAQ

Everything you need to know about this question

Does the order I multiply the numbers matter?

No! Thanks to the commutative property, you can multiply in any order. $35\times6\times2$ gives the same result as $6\times35\times2$ or $2\times35\times6$ .

Why is the explanation showing 70×2 instead of 210×2?

There's an error in the given explanation! It should be $35\times6=210$ , then $210\times2=420$ . The explanation incorrectly shows 70×2 instead of the correct second step.

Can I group the numbers differently to make it easier?

Absolutely! You could calculate $6\times2=12$ first, then $35\times12=420$ . Or try $35\times2=70$ , then $70\times6=420$ . All methods give the same answer!

How can I multiply 35×6 quickly in my head?

Break it down: $35\times6 = (30+5)\times6 = 30\times6 + 5\times6 = 180 + 30 = 210$ . This distributive property makes mental math much easier!

What if I accidentally calculated 35×2×6 instead?

You'll still get the same answer! Since multiplication is commutative, changing the order doesn't affect the result. $35\times2\times6 = 70\times6 = 420$ .

🌟 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