Solve the Decimal Addition: Finding the Sum of 1.3 + 1.1

Q: Why do I need to align the decimal points?

Aligning decimal points ensures you're adding like place values together - tenths with tenths, units with units. Without alignment, you might accidentally add a tenth to a unit!

Q: What if the decimals have different numbers of digits?

That's okay! You can add invisible zeros to make them the same length. For example, treat $ 1.3 $ as $ 1.30 $ if needed.

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

The decimal point in your answer goes directly below the aligned decimal points in the problem. It stays in the same column position!

Q: Can I check my answer a different way?

Yes! You can estimate first: $ 1.3 + 1.1 $ is about $ 1 + 1 = 2 $, so your answer should be close to 2. Since $ 2.4 $ is close to 2, it makes sense!

Q: What if I get confused about which column to add first?

Always start from the rightmost column and work left, just like with whole numbers. In $ 1.3 + 1.1 $, start with the tenths place (3 + 1), then the units place (1 + 1).

Decimal Addition with Alignment Techniques

Solve the following:

$1.3+1.1=$

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Step-by-step video solution

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Step-by-step written solution

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Understand the problem

Solve the following:

$1.3+1.1=$

Step-by-step solution

To solve this problem, let's follow these steps to perform decimal addition:

Step 1: Align the decimal points of numbers $1.3$ and $1.1$ .
Step 2: Add the numbers starting from the right, moving towards the left.

Now, let's perform the calculation:

Align the numbers:
$\begin{aligned} &{1.}3 \\ +&1.1 \\ \hline \end{aligned}$

Step 1: Add the digits in the tenths place: $3 + 1 = 4$ .

Step 2: Add the digits in the units place: $1 + 1 = 2$ .

Combine these results to find the total sum: $2.4$ .

Therefore, the solution to the problem is $2.4$ , which corresponds to choice 4.

Final Answer

2.4

Key Points to Remember

Essential concepts to master this topic

Alignment Rule: Place decimal points directly above each other before adding
Technique: Start from rightmost digit: $3 + 1 = 4$ in tenths place
Check: Count decimal places in answer matches original numbers ✓

Common Mistakes

Avoid these frequent errors

Adding without aligning decimal points
Don't just add digits from left to right like 13 + 11 = 24! This ignores place value and gives wrong answers. Always align decimal points vertically first, then add column by column from right to left.

Practice Quiz

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FAQ

Everything you need to know about this question

Why do I need to align the decimal points?

Aligning decimal points ensures you're adding like place values together - tenths with tenths, units with units. Without alignment, you might accidentally add a tenth to a unit!

What if the decimals have different numbers of digits?

That's okay! You can add invisible zeros to make them the same length. For example, treat $1.3$ as $1.30$ if needed.

How do I know where to put the decimal point in my answer?

The decimal point in your answer goes directly below the aligned decimal points in the problem. It stays in the same column position!

Can I check my answer a different way?

Yes! You can estimate first: $1.3 + 1.1$ is about $1 + 1 = 2$ , so your answer should be close to 2. Since $2.4$ is close to 2, it makes sense!

What if I get confused about which column to add first?

Always start from the rightmost column and work left, just like with whole numbers. In $1.3 + 1.1$ , start with the tenths place (3 + 1), then the units place (1 + 1).

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