Solve the Multiplication: 18 × 2 × 10 Step by Step

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

Yes! The commutative property means multiplication order doesn't matter. You can do 18 × 2 × 10, or 2 × 18 × 10, or 10 × 18 × 2 - all give the same answer of 360.

Q: Which order is easiest for calculating 18 × 2 × 10?

Try 18 × 10 first because multiplying by 10 just adds a zero! $ 18 \times 10 = 180 $, then $ 2 \times 180 = 360 $. Much easier than starting with 18 × 2!

Q: What's the difference between 18 × 2 × 10 and 18 + 2 × 10?

Huge difference! 18 × 2 × 10 = 360 (multiply all factors), but 18 + 2 × 10 = 38 (follows order of operations: multiply first, then add).

Q: How can I check if my answer of 360 is correct?

Try a different order! Calculate $ 18 \times 2 = 36 $ first, then $ 36 \times 10 = 360 $. Getting the same result confirms your answer is right!

Multiple Factor Multiplication with Sequential Steps

Solve the following problem:

$18\times2\times10=$

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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 convenient for us to solve

00:07 Let's 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 problem:

$18\times2\times10=$

Step-by-step solution

Since the exercise involves only multiplication, we will use the commutative property to simplify the calculation:

$2\times18\times10=$

Now let's solve the multiplication on the left:

$18\times10=180$

We should obtain the following exercise:

$2\times180=360$

Final Answer

$360$

Key Points to Remember

Essential concepts to master this topic

Commutative Property: Rearrange factors in any order without changing product
Sequential Method: Multiply $18 \times 10 = 180$ first, then $2 \times 180 = 360$
Verification: Check by multiplying left to right: $18 \times 2 = 36$ , then $36 \times 10 = 360$ ✓

Common Mistakes

Avoid these frequent errors

Adding instead of multiplying all factors
Don't calculate 18 + 2 + 10 = 30! This confuses addition with multiplication and gives a drastically wrong result. Always multiply each factor: 18 × 2 × 10 means repeated multiplication, not addition.

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 the numbers in any order I want?

Yes! The commutative property means multiplication order doesn't matter. You can do 18 × 2 × 10, or 2 × 18 × 10, or 10 × 18 × 2 - all give the same answer of 360.

Which order is easiest for calculating 18 × 2 × 10?

Try 18 × 10 first because multiplying by 10 just adds a zero! $18 \times 10 = 180$ , then $2 \times 180 = 360$ . Much easier than starting with 18 × 2!

What's the difference between 18 × 2 × 10 and 18 + 2 × 10?

Huge difference! 18 × 2 × 10 = 360 (multiply all factors), but 18 + 2 × 10 = 38 (follows order of operations: multiply first, then add).

How can I check if my answer of 360 is correct?

Try a different order! Calculate $18 \times 2 = 36$ first, then $36 \times 10 = 360$ . Getting the same result confirms your answer is right!

Why does multiplying by 10 just add a zero?

Multiplying by 10 shifts all digits one place to the left in our decimal system. So 18 × 10 becomes 180 - the 1 and 8 move left, and we add a zero in the ones place.

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