Solve Decimal Multiplication: 0.1 × 33.4 Step-by-Step

Q: Why does 0.1 × 33.4 give 3.34 and not 0.334?

Think of $ 0.1 $ as one-tenth! When you take one-tenth of 33.4, you get 3.34. It's like dividing 33.4 by 10, which moves the decimal point one place left.

Q: How do I remember to count decimal places correctly?

Use this simple rule: add up all decimal places from both numbers. $ 0.1 $ has 1 decimal place + $ 33.4 $ has 1 decimal place = 2 total decimal places in your answer.

Q: What if I get confused multiplying with decimals?

Try this trick: ignore the decimals first! Multiply 1 × 334 = 334, then count decimal places (1+1=2) and place them: 3.34. Much easier!

Q: Can I check my answer a different way?

Yes! Think about it logically: $ 0.1 $ means one-tenth. So $ 0.1 \times 33.4 $ should be one-tenth of 33.4, which is 33.4 ÷ 10 = 3.34.

Q: Why do some answers have more decimal places than others?

The number of decimal places in your answer always equals the total decimal places in both numbers you're multiplying. More decimal places in the problem = more in the answer!

Decimal Multiplication with Place Value Management

$0.1\times33.4=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:03 Convert decimal number to fraction

00:10 There is only one zero in the denominator, so we'll move the decimal point once

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

$0.1\times33.4=$

Step-by-step solution

To solve the problem of finding $0.1 \times 33.4$ , we'll employ the following method:

Step 1: Multiply the numbers without considering decimals.
Calculate $1 \times 33.4 = 33.4$ .
Step 2: Determine the decimal placement.
The number $0.1$ has one decimal place, and $33.4$ has one decimal place. Therefore, the product should have $1 + 1 = 2$ decimal places.
Step 3: Apply the decimal adjustment.
Take the product $33.4$ and insert two decimal places from the right. This results in $3.34$ .

Thus, the solution to the problem $0.1 \times 33.4$ is $\mathbf{3.34}$ .

Final Answer

$3.34$

Key Points to Remember

Essential concepts to master this topic

Rule: Add decimal places from both numbers to find answer placement
Technique: Multiply 1 × 334 = 334, then place 2 decimals
Check: 0.1 means one-tenth, so 33.4 ÷ 10 = 3.34 ✓

Common Mistakes

Avoid these frequent errors

Counting decimal places incorrectly
Don't just look at the digits after decimal points = wrong placement! Students often miss that 0.1 has one decimal place and 33.4 has one decimal place. Always count total decimal places: 1 + 1 = 2 decimal places in your answer.

Practice Quiz

Test your knowledge with interactive questions

$0.1 \times 0.008 =$

FAQ

Everything you need to know about this question

Why does 0.1 × 33.4 give 3.34 and not 0.334?

Think of $0.1$ as one-tenth! When you take one-tenth of 33.4, you get 3.34. It's like dividing 33.4 by 10, which moves the decimal point one place left.

How do I remember to count decimal places correctly?

Use this simple rule: add up all decimal places from both numbers. $0.1$ has 1 decimal place + $33.4$ has 1 decimal place = 2 total decimal places in your answer.

What if I get confused multiplying with decimals?

Try this trick: ignore the decimals first! Multiply 1 × 334 = 334, then count decimal places (1+1=2) and place them: 3.34. Much easier!

Can I check my answer a different way?

Yes! Think about it logically: $0.1$ means one-tenth. So $0.1 \times 33.4$ should be one-tenth of 33.4, which is 33.4 ÷ 10 = 3.34.

Why do some answers have more decimal places than others?

The number of decimal places in your answer always equals the total decimal places in both numbers you're multiplying. More decimal places in the problem = more in the answer!

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