Calculate the Sum: 10.04 + 3.08 Decimal Addition

Decimal Addition with Carrying Operations

10.04+3.08= 10.04+3.08=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:03 We will use vertical addition for calculation
00:09 Let's make sure to write it properly, decimal point above decimal point
00:13 Let's make sure to write it properly, decimal point above decimal point
00:21 Let's calculate and place the ones, remember to carry 1
00:28 For this calculation we'll add 1
00:35 Let's place it, and continue to add, calculate and place accordingly
00:47 We'll place 0 in the missing digits, add and place
00:53 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

10.04+3.08= 10.04+3.08=

2

Step-by-step solution

To solve this problem, we'll follow these steps:

  • Step 1: Align the numbers by their decimal points.

  • Step 2: Add the digits column by column, starting from the rightmost column.

  • Step 3: Place the decimal point in the result directly under the other decimal points.

Now, let's work through each step:
Step 1: Align the numbers:  10.04+3.08 \begin{array}{c} ~10.04 \\ + \, 3.08 \\ \hline \end{array}
Step 2: Add each column, starting from the right:
- Add the hundredths place: 4+8=124 + 8 = 12. Write down 2, carry over 1.
- Add the tenths place: 0+0=00 + 0 = 0. Add the carried over 1 to get 1.
- Add the units place: 0+3=30 + 3 = 3.
- Add the tens place: 1+0=11 + 0 = 1. Place the decimal point directly below the other decimals:
  10.04+ 3.08  13.12 \begin{array}{c} ~~10.04 \\ + \ 3.08 \\ \hline ~~13.12 \\ \end{array}

Therefore, the correct answer to 10.04+3.08 10.04 + 3.08 is 13.12 13.12 .

3

Final Answer

13.12

Key Points to Remember

Essential concepts to master this topic
  • Alignment: Line up decimal points vertically before adding
  • Technique: Add column by column: 4 + 8 = 12, write 2, carry 1
  • Check: Decimal point in answer goes directly below other decimal points ✓

Common Mistakes

Avoid these frequent errors
  • Not aligning decimal points correctly
    Don't line up the rightmost digits instead of decimal points = wrong place values! This makes 10.04 + 3.08 become 1004 + 308 in your head. Always align the decimal points first, then add column by column.

Practice Quiz

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FAQ

Everything you need to know about this question

What happens when I add 4 + 8 and get 12?

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Write down the 2 in the hundredths place and carry the 1 to the next column left. This is just like carrying in whole number addition!

Why do I need to line up the decimal points?

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Decimal points show place value! When aligned, tenths add to tenths, hundredths add to hundredths. Misalignment mixes up place values and gives wrong answers.

What if one number has more decimal places than the other?

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Add trailing zeros to make them equal! For example, treat 3.08 as 3.080 when adding to 10.045. This doesn't change the value but makes addition easier.

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

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The decimal point in your answer goes directly below the decimal points in the numbers you're adding. It should line up perfectly in a straight vertical line.

Can I check my answer somehow?

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Yes! Use estimation: 10+3=13 10 + 3 = 13 , so your answer should be close to 13. Since 13.12 is close to 13, it looks reasonable!

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