Solve Decimal Addition: 0.1 + 0.1 Step by Step

Q: Why isn't the answer 0.11?

Because you're adding tenths, not ones! $ 0.1 $ means one-tenth. When you add one-tenth plus one-tenth, you get two-tenths, which equals $ 0.2 $.

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

Always line up the decimal points vertically when adding. The decimal point in your answer goes directly below the aligned decimal points in the problem.

Q: What does 0.1 really mean?

$ 0.1 $ means one-tenth or $ \frac{1}{10} $. Think of it as one piece out of ten equal pieces of a whole.

Q: Can I check this with fractions?

Yes! $ 0.1 = \frac{1}{10} $, so $ \frac{1}{10} + \frac{1}{10} = \frac{2}{10} = 0.2 $. This confirms our decimal answer!

Q: Why do some people get confused with decimal addition?

Many students forget that place value matters. In decimals, the position of each digit tells you its value. Always remember: tenths + tenths = tenths!

Decimal Addition with Tenths Place Values

$0.1+0.1=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:03 Let's solve this problem step by step.

00:07 To solve this, we'll use long addition, which means we'll line up the numbers and add them column by column.

00:17 First, let's add the digits in the ones column, starting from the right side.

00:22 Next, we'll work our way left, adding each column and carrying over numbers when needed.

00:28 And there we have it! That's our final answer. Remember to always check your work to make sure it's correct.

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$0.1+0.1=$

Step-by-step solution

To solve this problem, we will follow these steps:

Step 1: Align the decimal points of the numbers to be added.
Step 2: Add the numbers directly using their place values.
Step 3: Write down the sum.

Now, let's perform each step in detail:

Step 1: Align the decimal points of $0.1$ and $0.1$ .

Step 2: Add the tenths place values. Since both digits in the tenths place are $1$ , we add them together:

$1 + 1 = 2$

Step 3: Write down the sum with the decimal point aligned:

The sum is $0.2$ .

Therefore, the solution to the problem is $0.2$ .

Final Answer

0.2

Key Points to Remember

Essential concepts to master this topic

Alignment: Line up decimal points vertically before adding digits
Technique: Add place values directly: $1 + 1 = 2$ in tenths
Check: Count by tenths: one-tenth plus one-tenth equals two-tenths ✓

Common Mistakes

Avoid these frequent errors

Adding digits without considering place value
Don't just add 1 + 1 = 2 and write 0.11! This ignores that both 1s are in the tenths place. When you add tenths to tenths, you get tenths. Always align decimal points and add within each place value column.

Practice Quiz

Test your knowledge with interactive questions

$\text{0.6+0}.5=$

FAQ

Everything you need to know about this question

Why isn't the answer 0.11?

Because you're adding tenths, not ones! $0.1$ means one-tenth. When you add one-tenth plus one-tenth, you get two-tenths, which equals $0.2$ .

How do I know where to put the decimal point?

Always line up the decimal points vertically when adding. The decimal point in your answer goes directly below the aligned decimal points in the problem.

What does 0.1 really mean?

$0.1$ means one-tenth or $\frac{1}{10}$ . Think of it as one piece out of ten equal pieces of a whole.

Can I check this with fractions?

Yes! $0.1 = \frac{1}{10}$ , so $\frac{1}{10} + \frac{1}{10} = \frac{2}{10} = 0.2$ . This confirms our decimal answer!

Why do some people get confused with decimal addition?

Many students forget that place value matters. In decimals, the position of each digit tells you its value. Always remember: tenths + tenths = tenths!

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