Solve Decimal Multiplication: 2.7 × 10 Step by Step

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

Multiplying by 10 makes numbers ten times bigger. Moving the decimal point right increases place values: ones become tens, tenths become ones. It's a shortcut that works every time!

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

Yes! For 100, move the decimal two places right. For 1000, move three places right. The number of zeros equals the number of moves.

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

Add zeros as placeholders! For example: $ 2.7 \times 100 $ becomes $ 270 $ by adding a zero after moving two places.

Q: Can I use regular multiplication instead?

You can, but moving the decimal is much faster! Regular multiplication takes more steps: $ 2.7 \times 10 = (2 \times 10) + (0.7 \times 10) = 20 + 7 = 27 $.

Decimal Multiplication with Powers of Ten

$2.7\times10=$

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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

00:09 Move the decimal point according to the number of zeros

00:18 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

$2.7\times10=$

Step-by-step solution

To solve this problem, we'll use the property that states: when we multiply a decimal number by $10$ , we move its decimal point one place to the right.

Let's work through the steps:

Step 1: Identify the number and its decimal place. The number $2.7$ has a decimal point between $2$ and $7$ .
Step 2: Since we are multiplying by $10$ , move the decimal point one place to the right. Moving the decimal point means $2.7$ becomes $27.$ .
Step 3: Write down the resulting number. After moving the decimal point, the number is $27$ .

Therefore, the product of $2.7 \times 10$ is $27$ .

Final Answer

$27$

Key Points to Remember

Essential concepts to master this topic

Rule: Multiplying by 10 moves decimal point one place right
Technique: Transform 2.7 to 27 by shifting decimal rightward
Check: Count decimal places: 2.7 has 1, result 27 has 0 ✓

Common Mistakes

Avoid these frequent errors

Adding zeros instead of moving decimal point
Don't add a zero to get 2.70 and call it 27! This doesn't change the decimal's value and gives the wrong format. Always physically move the decimal point one position 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 right?

Multiplying by 10 makes numbers ten times bigger. Moving the decimal point right increases place values: ones become tens, tenths become ones. It's a shortcut that works every time!

What if there's no decimal point visible in my answer?

When the decimal point moves all the way to the right, you get a whole number! Like $2.7 \times 10 = 27$ - the decimal point is hidden after the 7.

Does this work for multiplying by 100 or 1000?

Yes! For 100, move the decimal two places right. For 1000, move three places right. The number of zeros equals the number of moves.

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

Add zeros as placeholders! For example: $2.7 \times 100$ becomes $270$ by adding a zero after moving two places.

Can I use regular multiplication instead?

You can, but moving the decimal is much faster! Regular multiplication takes more steps: $2.7 \times 10 = (2 \times 10) + (0.7 \times 10) = 20 + 7 = 27$ .

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