Solve Multiplication: 15.1 × 10 Using Place Value

Decimal Multiplication with Powers of Ten

15.1×10= 15.1\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
00:10 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
1

Understand the problem

15.1×10= 15.1\times10=

2

Step-by-step solution

To solve this problem, we will execute the following simple steps:

  • Step 1: Understand that multiplying a decimal by 10 involves moving its decimal point to the right by one place.
  • Step 2: Apply this step to the given number.

In-depth walkthrough:
Step 1: We start with the number 15.1.
Step 2: Since we multiply by 10, we shift the decimal point one place to the right.
Step 3: This changes 15.1 into 151.

Therefore, the solution to the problem, as reflected in the provided answer choices, is the number 151 151 , which corresponds to choice 2.

3

Final Answer

151 151

Key Points to Remember

Essential concepts to master this topic
  • Rule: Multiplying by 10 shifts decimal point one place right
  • Technique: Move 15.1's decimal point right: 15.1 → 151
  • Check: Count decimal places: 15.1 × 10 = 151.0 = 151 ✓

Common Mistakes

Avoid these frequent errors
  • Adding a zero instead of moving the decimal point
    Don't add a zero to get 15.10 = wrong answer! Adding zeros doesn't change place value correctly and gives 15.10 instead of 151. Always move the decimal point one place 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?

+

Multiplying by 10 makes each digit ten times bigger, which moves it to the next place value position. The decimal point appears to 'move right' but really the digits are shifting left!

What if there's no decimal point showing?

+

Every whole number has an invisible decimal point at the end! For example, 25 is really 25.0, so 25×10=250 25 \times 10 = 250 .

Does this work for multiplying by 100 or 1000?

+

Yes! Move the decimal point two places right for ×100, three places right for ×1000. The number of zeros equals the number of places to move.

What if I run out of digits when moving the decimal?

+

Add zeros as placeholders! If you have 1.5×100 1.5 \times 100 , move two places right: 1.5 → 15. → 150.

How is 151 different from 15.1?

+

151 is a whole number (151 ones), while 15.1 is a decimal (15 ones and 1 tenth). Multiplying by 10 changed tenths into ones!

🌟 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

More Questions

Click on any question to see the complete solution with step-by-step explanations