Solve Decimal Multiplication: 0.1 × 0.008 Step-by-Step

Q: Why do I ignore the decimal points when multiplying?

Ignoring decimals makes the multiplication much easier! You can focus on the basic fact $ 1 \times 8 = 8 $, then worry about decimal placement afterward.

Q: How do I count decimal places correctly?

Count the digits after the decimal point. So $ 0.1 $ has 1 decimal place and $ 0.008 $ has 3 decimal places (the zeros count too!).

Q: Why does 0.1 × 0.008 give such a small answer?

When you multiply numbers less than 1, the result gets smaller! Think of it as taking a small piece (0.008) of an already small amount (0.1).

Q: Can I check my answer using estimation?

Yes! $ 0.1 \times 0.008 $ is close to $ 0.1 \times 0.01 = 0.001 $, so $ 0.0008 $ makes sense as it's slightly smaller.

Decimal Multiplication with Place Value Counting

$0.1 \times 0.008 =$

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$0.1 \times 0.008 =$

Step-by-step solution

To multiply the decimal fractions $0.1$ and $0.008$ , first, ignore the decimal points and multiply the numbers as if they were whole numbers:

$1 \times 8 = 8$

Now, count the total number of decimal places in both of the original numbers. Here, $0.1$ has 1 decimal place, and $0.008$ has 3 decimal places, so there are 4 decimal places in total.

Thus, in the product, place the decimal point so that there are 4 digits to the right of the decimal point:

$0.0008$

Final Answer

$0.0008$

Key Points to Remember

Essential concepts to master this topic

Rule: Total decimal places equals sum of decimal places in both factors
Technique: Multiply 1 × 8 = 8, then place decimal after 4 places
Check: Count places: 0.1 (1) + 0.008 (3) = 4 total places ✓

Common Mistakes

Avoid these frequent errors

Miscounting decimal places in the final answer
Don't count only 2 or 3 decimal places in your answer = 0.08 or 0.008 instead of 0.0008! This happens when you forget that 0.008 has 3 decimal places, not 2. Always count carefully: 0.1 has 1 place + 0.008 has 3 places = 4 total places in the answer.

Practice Quiz

Test your knowledge with interactive questions

$0.1 \times 4.35 =$

FAQ

Everything you need to know about this question

Why do I ignore the decimal points when multiplying?

Ignoring decimals makes the multiplication much easier! You can focus on the basic fact $1 \times 8 = 8$ , then worry about decimal placement afterward.

How do I count decimal places correctly?

Count the digits after the decimal point. So $0.1$ has 1 decimal place and $0.008$ has 3 decimal places (the zeros count too!).

What if I get confused about where to put the decimal?

Start from the right side of your whole number result and count backward! For 4 decimal places in the number 8, you get: $0.0008$ .

Why does 0.1 × 0.008 give such a small answer?

When you multiply numbers less than 1, the result gets smaller! Think of it as taking a small piece (0.008) of an already small amount (0.1).

Can I check my answer using estimation?

Yes! $0.1 \times 0.008$ is close to $0.1 \times 0.01 = 0.001$ , so $0.0008$ makes sense as it's slightly smaller.

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