Calculate the Product: 14.6 × 150 Decimal Multiplication

Q: Why do we ignore the decimal point at first?

It's easier to multiply whole numbers first, then place the decimal! This prevents mistakes during the calculation process. Just remember to count decimal places afterward.

Q: How do I know where to put the decimal point?

Count the total decimal places in both factors. $ 14.6 $ has 1 decimal place, and $ 150 $ has 0 decimal places, so your answer needs 1 decimal place.

Q: Can I use estimation to check my work?

Yes! Round $ 14.6 $ to $ 15 $, so $ 15 \times 150 = 2,250 $. Since $ 2,190 $ is close to $ 2,250 $, your answer makes sense!

Q: What if I multiply in a different order?

Order doesn't matter! $ 14.6 \times 150 $ equals $ 150 \times 14.6 $. The commutative property says you'll get the same answer either way.

Q: Is there a faster way to multiply by 150?

Yes! Think of $ 150 $ as $ 100 + 50 $. So $ 14.6 \times 150 = (14.6 \times 100) + (14.6 \times 50) = 1,460 + 730 = 2,190 $.

Decimal Multiplication with Whole Numbers

$14.6\times150=$

❤️ 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

Understand the problem

$14.6\times150=$

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: $146 \times 10 = 1460$ .
Next, multiply 1460 by 15. We can break this into smaller steps:
$1460 \times 15$ can be computed as $(1460 \times 10) + (1460 \times 5)$ .
$1460 \times 10 = 14600$ .
$1460 \times 5 = 7300$ .
Add these products: $14600 + 7300 = 21900$ .

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

$21900 \div 10 = 2190$ .

Therefore, the product of $14.6 \times 150$ is $2190$ .

Final Answer

$2190$

Key Points to Remember

Essential concepts to master this topic

Rule: Count decimal places in factors, place in product
Technique: Multiply 146 × 150 = 21,900, then move decimal left
Check: Estimate 15 × 150 = 2,250, close to 2,190 ✓

Common Mistakes

Avoid these frequent errors

Forgetting to place the decimal point correctly
Don't just multiply 146 × 150 = 21,900 and leave it there! This ignores the decimal and gives 21,900 instead of 2,190. Always count decimal places in the original problem (14.6 has 1 decimal place) and place the decimal point correctly in your final answer.

Practice Quiz

Test your knowledge with interactive questions

$0.26\times10=$

FAQ

Everything you need to know about this question

Why do we ignore the decimal point at first?

It's easier to multiply whole numbers first, then place the decimal! This prevents mistakes during the calculation process. Just remember to count decimal places afterward.

How do I know where to put the decimal point?

Count the total decimal places in both factors. $14.6$ has 1 decimal place, and $150$ has 0 decimal places, so your answer needs 1 decimal place.

Can I use estimation to check my work?

Yes! Round $14.6$ to $15$ , so $15 \times 150 = 2,250$ . Since $2,190$ is close to $2,250$ , your answer makes sense!

What if I multiply in a different order?

Order doesn't matter! $14.6 \times 150$ equals $150 \times 14.6$ . The commutative property says you'll get the same answer either way.

Is there a faster way to multiply by 150?

Yes! Think of $150$ as $100 + 50$ . So $14.6 \times 150 = (14.6 \times 100) + (14.6 \times 50) = 1,460 + 730 = 2,190$ .

🌟 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