Solve the Multiplication: 19×2×5 Step-by-Step

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

Yes! Multiplication has the commutative property, meaning you can multiply in any order. However, some orders make calculations easier - like multiplying 2×5=10 first.

Q: Why multiply 2×5 first instead of going left to right?

Multiplying $ 2\times5=10 $ first creates an easier problem: $ 19\times10 $. Multiplying by 10 is simple - just add a zero to 19!

Q: What's the fastest way to multiply by 10?

When multiplying any whole number by 10, simply add a zero to the end. So 19×10 becomes 190 instantly!

Q: Would I get the same answer if I calculated 19×2 first?

Absolutely! $ 19\times2=38 $, then $ 38\times5=190 $. Both methods give the same answer, but the 2×5 method is usually faster.

Q: How can I check if 190 is correct?

Try the reverse: $ 190÷5=38 $ and $ 38÷2=19 $ ✓. Or use a different order: $ 19\times2=38 $, then $ 38\times5=190 $ ✓

Multiplication Order with Strategic Grouping

Solve the following expression:

$19\times2\times5=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:06 Let's solve this problem together!

00:09 First, we'll use substitution to make things easier. Then, solve the multiplication part.

00:15 And there you have it! That's the solution to our question. Great job!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Solve the following expression:

$19\times2\times5=$

Step-by-step solution

According to the order of operations rules, given that the exercise is only comprised of multiplication, we can solve it from right to left, as this is the simpler way:

$2\times5=10$

We should obtain the following:

$19\times10=$

Given that this is a multiplication exercise where we multiply by 10, without calculating we can simply take the zero from the 10 and write it after the number 19.

Resulting in the following:

$190$

Final Answer

$190$

Key Points to Remember

Essential concepts to master this topic

Order: Multiplication can be performed from left to right or strategically grouped
Technique: Group $2\times5=10$ first to simplify multiplication by 10
Check: Verify $19\times190÷10=19$ and $2\times5=10$ ✓

Common Mistakes

Avoid these frequent errors

Adding instead of multiplying all terms
Don't calculate 19+2+5=26! This treats × symbols as + signs and gives a completely wrong answer. Always identify the operation symbols correctly and multiply each number: 19×2×5 means multiply all three numbers together.

Practice Quiz

Test your knowledge with interactive questions

$$ 94+12+6= $$

FAQ

Everything you need to know about this question

Can I multiply these numbers in any order I want?

Yes! Multiplication has the commutative property, meaning you can multiply in any order. However, some orders make calculations easier - like multiplying 2×5=10 first.

Why multiply 2×5 first instead of going left to right?

Multiplying $2\times5=10$ first creates an easier problem: $19\times10$ . Multiplying by 10 is simple - just add a zero to 19!

What's the fastest way to multiply by 10?

When multiplying any whole number by 10, simply add a zero to the end. So 19×10 becomes 190 instantly!

Would I get the same answer if I calculated 19×2 first?

Absolutely! $19\times2=38$ , then $38\times5=190$ . Both methods give the same answer, but the 2×5 method is usually faster.

How can I check if 190 is correct?

Try the reverse: $190÷5=38$ and $38÷2=19$ ✓. Or use a different order: $19\times2=38$ , then $38\times5=190$ ✓

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