Calculate the Product: Solving 0.1 × 2.4 Step by Step

Q: Why do I ignore the decimals at first when multiplying?

It's easier to work with whole numbers first! Multiply 1 × 24 = 24, then use decimal place counting to position the decimal point correctly. This prevents confusion and calculation errors.

Q: What if I get confused counting decimal places?

Write it out step by step: $0.1$ has 1 decimal place, $2.4$ has 1 decimal place. Total = 1 + 1 = 2 decimal places in your answer.

Q: How do I place the decimal point in 24 to get 2 decimal places?

Start from the right side of 24 and count 2 places left: 2.4 → 0.24. If you need more places than digits available, add zeros on the left!

Q: Can I check my answer a different way?

Yes! Think of it as $\frac{1}{10} \times 2.4 = \frac{2.4}{10} = 0.24$. Or use estimation: $0.1$ is about $\frac{1}{10}$, so the answer should be much smaller than 2.4.

Q: What if one number has no decimal places?

Whole numbers like 5 have zero decimal places. So $5 \times 0.3$ would have 0 + 1 = 1 decimal place in the answer.

Decimal Multiplication with Place Value Management

$0.1\times2.4=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:04 Convert decimal number to fraction

00:12 There is only one zero in the denominator, so we'll move the decimal point once

00:20 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

$0.1\times2.4=$

Step-by-step solution

To solve this problem, follow these steps:

Step 1: Temporarily ignore the decimals and multiply $1$ by $24$ . The product is $24$ .
Step 2: Count the decimal places in both numbers. $0.1$ has one decimal place, and $2.4$ has one decimal place. This gives a total of two decimal places.
Step 3: Place the decimal point in the product, which is $24$ , to account for the two decimal places. Thus, $24$ becomes $0.24$ .

Therefore, the solution to the problem $0.1 \times 2.4$ is $0.24$ .

Final Answer

$0.24$

Key Points to Remember

Essential concepts to master this topic

Rule: Total decimal places in factors equals decimal places in product
Technique: Multiply 1 × 24 = 24, then count 2 decimal places
Check: Count digits after decimal point: 0.1 (1) + 2.4 (1) = 0.24 (2) ✓

Common Mistakes

Avoid these frequent errors

Forgetting to count decimal places correctly
Don't just multiply the digits and guess where the decimal goes = wrong answer like 2.4 or 24! This ignores the place value system. Always count total decimal places in both numbers first, then place the decimal point that many places from the right in your product.

Practice Quiz

Test your knowledge with interactive questions

$0.1 \times 0.008 =$

FAQ

Everything you need to know about this question

Why do I ignore the decimals at first when multiplying?

It's easier to work with whole numbers first! Multiply 1 × 24 = 24, then use decimal place counting to position the decimal point correctly. This prevents confusion and calculation errors.

What if I get confused counting decimal places?

Write it out step by step: $0.1$ has 1 decimal place, $2.4$ has 1 decimal place. Total = 1 + 1 = 2 decimal places in your answer.

How do I place the decimal point in 24 to get 2 decimal places?

Start from the right side of 24 and count 2 places left: 2.4 → 0.24. If you need more places than digits available, add zeros on the left!

Can I check my answer a different way?

Yes! Think of it as $\frac{1}{10} \times 2.4 = \frac{2.4}{10} = 0.24$ . Or use estimation: $0.1$ is about $\frac{1}{10}$ , so the answer should be much smaller than 2.4.

What if one number has no decimal places?

Whole numbers like 5 have zero decimal places. So $5 \times 0.3$ would have 0 + 1 = 1 decimal place in the answer.

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