Decimal Multiplication: Place the Decimal Point in 0.2 × 0.55 = 011

Q: Why do I add the decimal places instead of multiplying them?

When multiplying decimals, you add the decimal places because each decimal place represents a power of 10. Think of it like this: $ 0.2 = \frac{2}{10} $ and $ 0.55 = \frac{55}{100} $, so the result needs three decimal places.

Q: What if my answer has trailing zeros like 0.110?

Trailing zeros after the decimal point can be dropped in most cases, so $ 0.110 $ equals $ 0.11 $. However, keep them if the problem specifically asks for a certain number of decimal places.

Q: How do I remember to move the decimal point the right direction?

Always move the decimal point to the left when placing it in your final answer. Count the total decimal places from both original numbers, then move that many positions left from the rightmost digit.

Q: What if I get confused doing the whole number multiplication?

Take your time with $ 2 \times 55 $! Use whatever method works best: Standard algorithm: $ 2 \times 55 = 110 $Break it down: $ 2 \times 50 + 2 \times 5 = 100 + 10 = 110 $

Q: Can I check my answer a different way?

Yes! Use estimation: $ 0.2 \times 0.55 $ is close to $ 0.2 \times 0.5 = 0.1 $. Since $ 0.110 $ is very close to $ 0.1 $, our answer makes sense!

Decimal Multiplication with Place Value Positioning

Given the following exercise, find the correct place of the decimal point:

$0.2\times0.55=011$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:09 Let's begin by carefully placing the decimal point. Make sure it's in the correct spot.

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Given the following exercise, find the correct place of the decimal point:

$0.2\times0.55=011$

Step-by-step solution

To address this problem, we must first carry out the multiplication between $0.2$ and $0.55$ , removing the decimals temporarily to simplify the process and then adjust for them correctly in the final product.

Step 1: Convert the decimals to whole numbers.
Rewrite $0.2$ as $2$ (by multiplying by $10$ ) and $0.55$ as $55$ (by multiplying by $100$ ).

Step 2: Multiply these whole numbers.
Calculate $2 \times 55 = 110$ .

Step 3: Determine where the decimal point should be placed in the result.
- The original number $0.2$ has 1 decimal place.
- The original number $0.55$ has 2 decimal places.
Thus, the total number of decimal places required is $1 + 2 = 3$ .

Step 4: Apply these decimal places to the product.
Move the decimal point three places from the right in $110$ to get $0.110$ .

Therefore, the correct placement of the decimal point in the product is $0.110$ .

Consequently, the choice corresponding to this solution is: $0.110$

Final Answer

$0.110$

Key Points to Remember

Essential concepts to master this topic

Decimal Rule: Total decimal places equals sum of both factors' decimal places
Technique: Count $0.2$ (1 place) + $0.55$ (2 places) = 3 total places
Check: Move decimal 3 places left in 110 gives $0.110$ ✓

Common Mistakes

Avoid these frequent errors

Counting total digits instead of decimal places
Don't count all digits in 0.2 and 0.55 as 6 total positions = wrong decimal placement! This ignores the actual decimal positions. Always count only the digits after each decimal point, then add those counts together.

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 add the decimal places instead of multiplying them?

When multiplying decimals, you add the decimal places because each decimal place represents a power of 10. Think of it like this: $0.2 = \frac{2}{10}$ and $0.55 = \frac{55}{100}$ , so the result needs three decimal places.

What if my answer has trailing zeros like 0.110?

Trailing zeros after the decimal point can be dropped in most cases, so $0.110$ equals $0.11$ . However, keep them if the problem specifically asks for a certain number of decimal places.

How do I remember to move the decimal point the right direction?

Always move the decimal point to the left when placing it in your final answer. Count the total decimal places from both original numbers, then move that many positions left from the rightmost digit.

What if I get confused doing the whole number multiplication?

Take your time with $2 \times 55$ ! Use whatever method works best:

Standard algorithm: $2 \times 55 = 110$
Break it down: $2 \times 50 + 2 \times 5 = 100 + 10 = 110$

Can I check my answer a different way?

Yes! Use estimation: $0.2 \times 0.55$ is close to $0.2 \times 0.5 = 0.1$ . Since $0.110$ is very close to $0.1$ , our answer makes sense!

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