Solve: Multiplying 0.7 by 10 - Decimal Calculation Practice

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

Think of place value! Each position is 10 times bigger than the one to its right. So 0.7 (7 tenths) becomes 7.0 (7 ones) when multiplied by 10.

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

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: Does this work for multiplying by 100 or 1000?

Yes! Move the decimal point two places for 100, three places for 1000. The number of zeros tells you how many places to move.

Q: What if I don't have enough digits?

Add zeros as needed! For example: $ 0.3 \times 100 $ becomes 0.3 → 03.0 → 30.0 = 30.

Q: How do I remember which direction to move?

Multiplying by 10, 100, 1000 makes numbers bigger, so the decimal moves right. Dividing makes them smaller, so it moves left.

Decimal Multiplication with Powers of Ten

$0.7\times10=$

❤️ 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

00:04 According to the number of zeros, move the decimal point

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

00:14 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

$0.7\times10=$

Step-by-step solution

To solve this problem, we'll follow these steps:

Step 1: Identify the given decimal number: $0.7$ .
Step 2: Recognize that multiplying by $10$ shifts the decimal point one place to the right.
Step 3: Move the decimal point one place to the right from $0.7$ to $7.0$ , which can be expressed simply as $7$ .

Now, let's work through each step:

Step 1: We are given the number $0.7$ to multiply by $10$ .
Step 2: Multiplying by $10$ moves the decimal point one position to the right.
Step 3: Performing this shift, $0.7$ becomes $7.0$ , which simplifies to $7$ .

Therefore, the solution to the problem is $7$ .

Final Answer

$7$

Key Points to Remember

Essential concepts to master this topic

Rule: Multiplying by 10 moves the decimal point one place right
Technique: From 0.7 × 10, shift decimal: 0.7 → 7.0 = 7
Check: Count decimal places: 0.7 has 1, result should have 0 ✓

Common Mistakes

Avoid these frequent errors

Adding zeros instead of moving the decimal point
Don't just add a zero to get 0.70 = wrong answer! This doesn't change the value and ignores the multiplication. Always move the decimal point one place right when multiplying by 10.

Practice Quiz

Test your knowledge with interactive questions

$0.3\times10=$

FAQ

Everything you need to know about this question

Why does multiplying by 10 move the decimal point?

Think of place value! Each position is 10 times bigger than the one to its right. So 0.7 (7 tenths) becomes 7.0 (7 ones) when multiplied by 10.

What if there's no decimal point shown?

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

Does this work for multiplying by 100 or 1000?

Yes! Move the decimal point two places for 100, three places for 1000. The number of zeros tells you how many places to move.

What if I don't have enough digits?

Add zeros as needed! For example: $0.3 \times 100$ becomes 0.3 → 03.0 → 30.0 = 30.

How do I remember which direction to move?

Multiplying by 10, 100, 1000 makes numbers bigger, so the decimal moves right. Dividing makes them smaller, so it moves left.

🌟 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