Solve Decimal Multiplication: 2.31 × 10 Step by Step

Q: Why does multiplying by 10 move the decimal point?

Each place value is 10 times bigger than the one to its right! So when you multiply by 10, every digit moves to a place value that's 10 times larger - which means moving one position left.

Q: What if there's no decimal point shown?

Every whole number has an invisible decimal point at the end! For example, 23 is really 23.0, so $ 23 \times 10 = 230 $.

Q: Does this work for multiplying by 100 or 1000?

Yes! Move the decimal point two places for 100, three places for 1000. The pattern is: count the zeros in the multiplier!

Q: What if I don't have enough digits to move the decimal?

Add zeros! For example: $ 2.3 \times 100 $ becomes 2.30, then moves to 230. Zeros are placeholders when needed.

Q: How can I remember which direction to move the decimal?

Think bigger number, decimal moves right! When multiplying by 10, 100, 1000, you're making the number larger, so the decimal point moves right.

Decimal Multiplication with Powers of Ten

$2.31\times10=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:03 According to the number of zeros, move the decimal point

00:08 Move the decimal point as many places as there are zeros

00:16 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

$2.31\times10=$

Step-by-step solution

To solve this problem, let's multiply the decimal number $2.31$ by $10$ :

Step 1: Understanding the multiplication by 10.
When a decimal number is multiplied by 10, we shift the decimal point one place to the right.
Step 2: Apply the rule to $2.31$ .
The decimal point in $2.31$ is between 2 and 3. Move it one position to the right:
Step 3: After the shift, the decimal point will be positioned after the 3, resulting in $23.1$ .

Therefore, the solution to the problem $2.31 \times 10$ is $23.1$ .

Among the choices given, $23.1$ corresponds to choice 1.

Final Answer

$23.1$

Key Points to Remember

Essential concepts to master this topic

Rule: Multiplying by 10 shifts the decimal point one place right
Technique: Move decimal from 2.31 to get 23.1 directly
Check: Count digits after decimal: 2.31 has 2, 23.1 has 1 ✓

Common Mistakes

Avoid these frequent errors

Adding zeros instead of moving the decimal point
Don't add a zero to get 2.310 = wrong place value! This doesn't change the decimal's position, just adds unnecessary digits. Always move the decimal point one place to the right when multiplying by 10.

Practice Quiz

Test your knowledge with interactive questions

$\text{0}.07\times10=$

FAQ

Everything you need to know about this question

Why does multiplying by 10 move the decimal point?

Each place value is 10 times bigger than the one to its right! So when you multiply by 10, every digit moves to a place value that's 10 times larger - which means moving one position left.

What if there's no decimal point shown?

Every whole number has an invisible decimal point at the end! For example, 23 is really 23.0, so $23 \times 10 = 230$ .

Does this work for multiplying by 100 or 1000?

Yes! Move the decimal point two places for 100, three places for 1000. The pattern is: count the zeros in the multiplier!

What if I don't have enough digits to move the decimal?

Add zeros! For example: $2.3 \times 100$ becomes 2.30, then moves to 230. Zeros are placeholders when needed.

How can I remember which direction to move the decimal?

Think bigger number, decimal moves right! When multiplying by 10, 100, 1000, you're making the number larger, so the decimal point moves right.

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