Solve: Multiplying 1.4 × 10 - Decimal Calculation Practice

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

Multiplying by 10 makes everything 10 times bigger! Moving the decimal point one place right is the same as making the number 10 times larger. It's a shortcut that works every time.

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

That's perfect! When you get a whole number like 14, you don't need to write the decimal point. 14.0 and 14 mean exactly the same thing.

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

Absolutely! Move the decimal point two places right for × 100, and three places right for × 1000. Each zero means one more place to move.

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

Add zeros as placeholders! For example, if you need to move 2.5 two places right for × 100, write it as 250 by adding a zero at the end.

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

Think bigger number, move right! Multiplying makes numbers larger, so the decimal moves right. Dividing makes numbers smaller, so it moves left.

Decimal Multiplication with Powers of Ten

$1.4\times10=$

❤️ 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

00:03 Let's solve this problem together.

00:07 Notice the zeros. For each one, shift the decimal point.

00:12 Keep moving the decimal for each zero you see.

00:16 Great job! That's how we reach the solution.

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$1.4\times10=$

Step-by-step solution

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

Step 1: Identify the position of the decimal point in the number 1.4, which is between the 1 and the 4.
Step 2: Multiply by 10 by moving the decimal point one place to the right.

Now, let's work through each step:

Step 1: The decimal point in 1.4 is currently right after the 1.
Step 2: When multiplying by 10, move the decimal point one place to the right. This transforms 1.4 into 14.0, which simplifies to 14.

Therefore, the solution to the problem is $14$ .

Final Answer

$14$

Key Points to Remember

Essential concepts to master this topic

Rule: Multiplying by 10 moves decimal point one place right
Technique: Transform 1.4 to 14.0 by shifting decimal right once
Check: Count decimal places: 1.4 (one place) × 10 = 14 (whole number) ✓

Common Mistakes

Avoid these frequent errors

Adding instead of multiplying when seeing × 10
Don't think 1.4 + 10 = 11.4 when you see 1.4 × 10! Addition gives completely wrong results. Always remember the × symbol means multiply, so move the decimal point right instead of adding the numbers.

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?

Multiplying by 10 makes everything 10 times bigger! Moving the decimal point one place right is the same as making the number 10 times larger. It's a shortcut that works every time.

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

That's perfect! When you get a whole number like 14, you don't need to write the decimal point. 14.0 and 14 mean exactly the same thing.

Does this work for multiplying by 100 or 1000 too?

Absolutely! Move the decimal point two places right for × 100, and three places right for × 1000. Each zero means one more place to move.

What happens if I don't have enough digits?

Add zeros as placeholders! For example, if you need to move 2.5 two places right for × 100, write it as 250 by adding a zero at the end.

How can I remember which direction to move the decimal?

Think bigger number, move right! Multiplying makes numbers larger, so the decimal moves right. Dividing makes numbers 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