Solve the Triple Multiplication: 2 × 18 × 5 Step-by-Step

Q: Can I multiply these numbers in any order I want?

Yes! The commutative property of multiplication means $ 2 \times 18 \times 5 $ gives the same result as $ 5 \times 2 \times 18 $ or any other arrangement.

Q: Why did the solution multiply 2 × 5 first instead of 2 × 18?

Multiplying $ 2 \times 5 = 10 $ first creates an easier calculation! It's much simpler to compute $ 10 \times 18 $ than $ 36 \times 5 $.

Q: What if I multiply from left to right instead?

That works too! $ 2 \times 18 = 36 $, then $ 36 \times 5 = 180 $. You'll get the same answer, but the calculation might be slightly harder.

Q: How do I multiply 10 × 18 quickly?

Think of it as $ 10 \times 18 = 10 \times (20 - 2) = 200 - 20 = 180 $, or simply add a zero to 18 to get 180!

Q: Are there other ways to group these numbers?

Yes! You could try $ 18 \times 5 = 90 $, then $ 2 \times 90 = 180 $. All groupings give the same result due to the associative property.

Triple Multiplication with Commutative Property

Solve the following exercise:

$2\times18\times5=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:03 Let's arrange the exercise so it will be easy for us to solve

00:09 We'll solve each multiplication separately

00:12 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:

$2\times18\times5=$

Step-by-step solution

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

$2\times5\times18=$

Let's solve the exercise from left to right:

$2\times5=10$

$10\times18=180$

Final Answer

$180$

Key Points to Remember

Essential concepts to master this topic

Commutative Property: Numbers can be multiplied in any order
Strategy: Group easy calculations first like $2 \times 5 = 10$
Verification: Check by multiplying left to right: $2 \times 18 \times 5 = 180$ ✓

Common Mistakes

Avoid these frequent errors

Adding instead of multiplying all three numbers
Don't calculate 2 + 18 + 5 = 25! This gives a completely wrong answer because addition and multiplication are different operations. Always multiply each number: $2 \times 18 \times 5 = 180$ .

Practice Quiz

Test your knowledge with interactive questions

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

FAQ

Everything you need to know about this question

Can I multiply these numbers in any order I want?

Yes! The commutative property of multiplication means $2 \times 18 \times 5$ gives the same result as $5 \times 2 \times 18$ or any other arrangement.

Why did the solution multiply 2 × 5 first instead of 2 × 18?

Multiplying $2 \times 5 = 10$ first creates an easier calculation! It's much simpler to compute $10 \times 18$ than $36 \times 5$ .

What if I multiply from left to right instead?

That works too! $2 \times 18 = 36$ , then $36 \times 5 = 180$ . You'll get the same answer, but the calculation might be slightly harder.

How do I multiply 10 × 18 quickly?

Think of it as $10 \times 18 = 10 \times (20 - 2) = 200 - 20 = 180$ , or simply add a zero to 18 to get 180!

Are there other ways to group these numbers?

Yes! You could try $18 \times 5 = 90$ , then $2 \times 90 = 180$ . All groupings give the same result due to the associative property.

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