Solve the Multiplication Problem: 2 × 1 × 10

Q: Why does multiplying by 1 not change anything?

The number 1 is the identity element for multiplication! This means any number times 1 equals itself. So $ 2 \times 1 = 2 $, just like $ 100 \times 1 = 100 $.

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

No, order doesn't matter! You could do $ 1 \times 10 = 10 $ first, then $ 2 \times 10 = 20 $. Multiplication is commutative, so you'll get the same answer either way.

Q: Is there a shortcut for multiplying by 10?

Yes! When multiplying by 10, just add one zero to the end of your number. So $ 2 \times 10 = 20 $ (add zero to 2).

Q: What if there were more numbers to multiply?

Keep going left to right! For example: $ 2 \times 1 \times 10 \times 3 $ would be $ 2 \times 1 = 2 $, then $ 2 \times 10 = 20 $, then $ 20 \times 3 = 60 $.

Q: How can I check my answer is correct?

Think about it logically: you have 2 groups of 10 items each (since 2 × 1 × 10 = 2 × 10). That's definitely 20 items total! You can also use a calculator to double-check.

Multiplication with Identity Element

$2\times1\times10=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:03 1 multiplied by any number is always equal to the number itself

00:08 Let's calculate the multiplications

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

$2\times1\times10=$

Step-by-step solution

To solve this problem, we will perform the multiplication step-by-step:

Step 1: Begin with the first two numbers: $2 \times 1$ .
Resulting value: $2 \times 1 = 2$ .
Step 2: Multiply the resulting value by the third number: $2 \times 10$ .
Final calculation: $2 \times 10 = 20$ .

Therefore, the solution to the problem is $20$ .

Final Answer

Key Points to Remember

Essential concepts to master this topic

Identity Rule: Multiplying by 1 keeps the original number unchanged
Technique: Work left to right: $2 \times 1 = 2$ , then $2 \times 10 = 20$
Check: Count zeros from 10 and multiply 2: $2 \times 10 = 20$ ✓

Common Mistakes

Avoid these frequent errors

Confusing multiplication with addition
Don't add the numbers like 2 + 1 + 10 = 13! This gives completely wrong results. Always multiply each number step by step: first 2 × 1 = 2, then 2 × 10 = 20.

Practice Quiz

Test your knowledge with interactive questions

$1\times1000=$

FAQ

Everything you need to know about this question

Why does multiplying by 1 not change anything?

The number 1 is the identity element for multiplication! This means any number times 1 equals itself. So $2 \times 1 = 2$ , just like $100 \times 1 = 100$ .

Do I have to multiply from left to right?

No, order doesn't matter! You could do $1 \times 10 = 10$ first, then $2 \times 10 = 20$ . Multiplication is commutative, so you'll get the same answer either way.

Is there a shortcut for multiplying by 10?

Yes! When multiplying by 10, just add one zero to the end of your number. So $2 \times 10 = 20$ (add zero to 2).

What if there were more numbers to multiply?

Keep going left to right! For example: $2 \times 1 \times 10 \times 3$ would be $2 \times 1 = 2$ , then $2 \times 10 = 20$ , then $20 \times 3 = 60$ .

How can I check my answer is correct?

Think about it logically: you have 2 groups of 10 items each (since 2 × 1 × 10 = 2 × 10). That's definitely 20 items total! You can also use a calculator to double-check.

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