Solve: 3.41 × 10 - Decimal Multiplication Practice

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

Multiplying by 10 makes numbers 10 times larger. Moving the decimal point right increases the place value of each digit, making the whole number bigger!

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

Every whole number has an invisible decimal point at the end! For example, 5 is really 5.0, so $ 5 \times 10 = 50.0 = 50 $.

Q: How many places do I move for different powers of 10?

×10: Move 1 place right×100: Move 2 places right×1000: Move 3 places rightThe number of zeros equals the number of places!

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

Add zeros as placeholders! For example: $ 3.4 \times 100 $ becomes $ 340 $ (move 2 places, add 1 zero).

Q: Does this work for division by 10 too?

Yes, but in reverse! Dividing by 10 moves the decimal point one place left. So $ 34.1 ÷ 10 = 3.41 $.

Decimal Multiplication with Powers of Ten

$3.41\times10=$

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

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

00:18 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

$3.41\times10=$

Step-by-step solution

To solve this problem, here's a step-by-step approach:

First, identify the decimal number: $3.41$ .
Understand that multiplying by $10$ involves moving the decimal point one place to the right.
Shift the decimal point in $3.41$ from between $3$ and $4$ to between $4$ and $1$ , resulting in the number $34.1$ .

Thus, the solution to the problem is $34.1$ .

Final Answer

$34.1$

Key Points to Remember

Essential concepts to master this topic

Rule: Multiplying by 10 moves decimal point one place right
Technique: Move decimal from 3.41 to get 34.1
Check: Count digits after decimal: 3.41 has 2, 34.1 has 1 ✓

Common Mistakes

Avoid these frequent errors

Moving decimal point the wrong direction
Don't move the decimal point left when multiplying by 10 = getting 0.341! This makes the number smaller instead of larger. Always move the decimal point right when multiplying by powers of 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 10 times larger. Moving the decimal point right increases the place value of each digit, making the whole number bigger!

What if there's no decimal point showing?

Every whole number has an invisible decimal point at the end! For example, 5 is really 5.0, so $5 \times 10 = 50.0 = 50$ .

How many places do I move for different powers of 10?

×10: Move 1 place right
×100: Move 2 places right
×1000: Move 3 places right

The number of zeros equals the number of places!

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

Add zeros as placeholders! For example: $3.4 \times 100$ becomes $340$ (move 2 places, add 1 zero).

Does this work for division by 10 too?

Yes, but in reverse! Dividing by 10 moves the decimal point one place left. So $34.1 ÷ 10 = 3.41$ .

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Decimal Fractions - Advanced questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime