Solve: Calculate the Product of 5 × 17 × 2 Step by Step

Q: Why can I change the order of multiplication?

The commutative property says that changing the order of multiplication doesn't change the result. So $ 5 \times 17 \times 2 $ equals $ 5 \times 2 \times 17 $!

Q: Which order is easiest to calculate?

Look for pairs that make nice round numbers! Here, $ 5 \times 2 = 10 $ is much easier than $ 5 \times 17 = 85 $.

Q: Do I have to multiply from left to right?

No! You can multiply in any order you want. The key is choosing the order that makes the math easier for you.

Q: What if there were more numbers to multiply?

The same rules apply! Group numbers that are easy to multiply together first, then multiply by the remaining numbers. The commutative property works for any amount of numbers.

Q: How do I know my answer is correct?

Try multiplying in a different order! If $ 5 \times 2 \times 17 = 170 $ and $ 17 \times 5 \times 2 = 170 $, then you're right!

Multiplication with Commutative Property

Solve the following exercise:

$5\times17\times2=$

❤️ 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 Let's arrange the exercise according to the commutative law to make it easier to solve

00:09 Let's solve each multiplication separately

00:13 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

Solve the following exercise:

$5\times17\times2=$

Step-by-step solution

Given that the exercise involves only multiplication, we will use the commutative property in order to simplify the calculation:

$5\times2\times17=$

Let's solve the problem from left to right:

$5\times2=10$

$10\times17=170$

Final Answer

$170$

Key Points to Remember

Essential concepts to master this topic

Commutative Property: Multiply numbers in any order for easier calculations
Technique: Group simple factors first: $5 \times 2 = 10$
Check: Verify by multiplying in original order: $5 \times 17 \times 2 = 170$ ✓

Common Mistakes

Avoid these frequent errors

Adding instead of multiplying all terms
Don't calculate 5 + 17 + 2 = 24! This gives a completely wrong result because addition and multiplication are different operations. Always multiply each number: $5 \times 17 \times 2 = 170$ .

Practice Quiz

Test your knowledge with interactive questions

$74+32+6+4+4=\text{?}$

FAQ

Everything you need to know about this question

Why can I change the order of multiplication?

The commutative property says that changing the order of multiplication doesn't change the result. So $5 \times 17 \times 2$ equals $5 \times 2 \times 17$ !

Which order is easiest to calculate?

Look for pairs that make nice round numbers! Here, $5 \times 2 = 10$ is much easier than $5 \times 17 = 85$ .

Do I have to multiply from left to right?

No! You can multiply in any order you want. The key is choosing the order that makes the math easier for you.

What if there were more numbers to multiply?

The same rules apply! Group numbers that are easy to multiply together first, then multiply by the remaining numbers. The commutative property works for any amount of numbers.

How do I know my answer is correct?

Try multiplying in a different order! If $5 \times 2 \times 17 = 170$ and $17 \times 5 \times 2 = 170$ , then you're right!

🌟 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