Calculate the Product: 0.1 × 0.5 Decimal Multiplication

Q: Why can't the answer be 0.5?

Because $ 0.1 \times 0.5 $ means one-tenth of a half, which is much smaller than a half! The correct answer $ 0.05 $ represents 5 hundredths.

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

Easy trick: Count decimal places in both numbers and add them together. $ 0.1 $ has 1 place, $ 0.5 $ has 1 place, so your answer needs 1 + 1 = 2 decimal places!

Q: Can I convert decimals to fractions instead?

Yes! $ 0.1 = \frac{1}{10} $ and $ 0.5 = \frac{1}{2} $, so $ \frac{1}{10} \times \frac{1}{2} = \frac{1}{20} = 0.05 $. Both methods give the same answer!

Q: What if I multiply 1 × 5 and get confused about the decimal?

That's normal! After getting 5 from multiplying, think: "I need 2 decimal places total." So 5 becomes $ 0.05 $ (the zero helps make 2 places).

Q: Is 0.05 the same as 0.050?

Mathematically yes, but $ 0.05 $ is the simplest form. Extra zeros at the end of decimals don't change the value, but we usually write the shortest version.

Decimal Multiplication with Two Decimal Places

$0.1\times0.5=$

❤️ 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

00:03 Convert decimal number to fraction

00:13 There is only one zero in the denominator, so we'll add one zero

00:16 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

$0.1\times0.5=$

Step-by-step solution

To solve this problem, we'll multiply the decimal numbers $0.1$ and $0.5$ , following these steps:

Step 1: Treat each number as if it were a whole number and multiply: $1 \times 5 = 5$ .
Step 2: Count the decimal places in both factors. The number $0.1$ has one decimal place, and $0.5$ also has one decimal place.
Step 3: The total number of decimal places in the product should be the sum of the decimal places in the factors, which is $1 + 1 = 2$ .
Step 4: Place the decimal point in the product $5$ , resulting in $0.05$ , to ensure it has two decimal places.

Therefore, the product of $0.1$ and $0.5$ is $0.05$ .

Final Answer

$0.05$

Key Points to Remember

Essential concepts to master this topic

Rule: Count total decimal places in both factors for placement
Technique: Multiply 1 × 5 = 5, then place decimal: 0.05
Check: Verify 0.05 has exactly 2 decimal places (1+1) ✓

Common Mistakes

Avoid these frequent errors

Placing decimal point incorrectly in the product
Don't just put the decimal anywhere like 0.5 or 5.0 = wrong answer! You must count the total decimal places from both numbers being multiplied. Always add decimal places: 0.1 (1 place) + 0.5 (1 place) = 2 places total in answer.

Practice Quiz

Test your knowledge with interactive questions

$0.1 \times 0.008 =$

FAQ

Everything you need to know about this question

Why can't the answer be 0.5?

Because $0.1 \times 0.5$ means one-tenth of a half, which is much smaller than a half! The correct answer $0.05$ represents 5 hundredths.

How do I remember where to put the decimal point?

Easy trick: Count decimal places in both numbers and add them together. $0.1$ has 1 place, $0.5$ has 1 place, so your answer needs 1 + 1 = 2 decimal places!

Can I convert decimals to fractions instead?

Yes! $0.1 = \frac{1}{10}$ and $0.5 = \frac{1}{2}$ , so $\frac{1}{10} \times \frac{1}{2} = \frac{1}{20} = 0.05$ . Both methods give the same answer!

What if I multiply 1 × 5 and get confused about the decimal?

That's normal! After getting 5 from multiplying, think: "I need 2 decimal places total." So 5 becomes $0.05$ (the zero helps make 2 places).

Is 0.05 the same as 0.050?

Mathematically yes, but $0.05$ is the simplest form. Extra zeros at the end of decimals don't change the value, but we usually write the shortest version.

🌟 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