Calculate the Product: 14.6 × 150 Decimal Multiplication

14.6×150= 14.6\times150=

❤️ 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
00:04 Let's solve this problem step by step.
00:08 Multiply each digit carefully and place the result in the correct spot.
00:14 Remember, any number times zero is always zero.
00:19 Now, let's work with the next digit and put the answer in the right place.
00:24 If necessary, add the tens. Keep calculating and placing!
00:34 Let's connect all our results so far.
00:39 Move to the next digit, calculate, and place it carefully.
00:44 Remember, multiplying by one gives the number itself.
00:49 Connect everything together again.
00:57 Now, count and add up all the digits after the decimal point.
01:02 Place the decimal point based on your count.
01:05 And that's how we find the solution. Great job!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

14.6×150= 14.6\times150=

2

Step-by-step solution

To solve this problem, we'll proceed with these steps:

  • Step 1: Multiply 146 by 150, ignoring the decimal point initially.
  • Step 2: Adjust for the decimal point after completing the multiplication.

Step 1: Consider 14.6 as 146, so multiply 146 by 150:

  • First, multiply 146 by 10: 146×10=1460146 \times 10 = 1460.
  • Next, multiply 1460 by 15. We can break this into smaller steps:
  • 1460×151460 \times 15 can be computed as (1460×10)+(1460×5)(1460 \times 10) + (1460 \times 5).
  • 1460×10=146001460 \times 10 = 14600.
  • 1460×5=73001460 \times 5 = 7300.
  • Add these products: 14600+7300=2190014600 + 7300 = 21900.

Step 2: Since we treated 14.6 as 146 (multiplied by 10 initially), divide the result by 10:

  • 21900÷10=219021900 \div 10 = 2190.

Therefore, the product of 14.6×15014.6 \times 150 is 21902190.

3

Final Answer

2190 2190

Practice Quiz

Test your knowledge with interactive questions

\( \text{0}.07\times10= \)

🌟 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