Solve Decimal Addition: 11.32 + 10.36

Decimal Addition with Multiple Place Values

Solve the following:

11.32+10.36= 11.32+10.36=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve using vertical addition
00:03 Let's write the exercise vertically
00:09 Let's make sure to write properly, decimal point above decimal point
00:13 First, let's add the smallest digits
00:19 Calculate and substitute
00:25 Continue to add, calculate and substitute accordingly
00:52 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

Solve the following:

11.32+10.36= 11.32+10.36=

2

Step-by-step solution

To solve the addition problem 11.32+10.36 11.32 + 10.36 , we follow a straightforward procedure:

  • Step 1: Align the Numbers
    Write the numbers one on top of the other, aligning by the decimal point:
    11.32+10.36 \begin{array}{c} 11.32 \\ + 10.36 \\ \hline \end{array}
  • Step 2: Add Each Column
    Start adding from the rightmost column and move left to the next columns, carrying over if necessary:
    • Add the hundredths place: 2+6=8 2 + 6 = 8
    • Add the tenths place: 3+3=6 3 + 3 = 6
    • Add the units place: 1+0=1 1 + 0 = 1
    • Add the tens place: 1+1=2 1 + 1 = 2
  • Step 3: Write the Result
    After adding all the columns, write down the result with the decimal point aligned:
    21.68 \begin{array}{c} 21.68 \\ \hline \end{array}

Therefore, the solution to the problem is 21.68 21.68 .

3

Final Answer

21.68

Key Points to Remember

Essential concepts to master this topic
  • Alignment: Line up decimal points vertically before adding columns
  • Technique: Add column by column: 2+6=8, 3+3=6, 1+0=1, 1+1=2
  • Check: Verify decimal point placement: 11.32 + 10.36 = 21.68 ✓

Common Mistakes

Avoid these frequent errors
  • Misaligning decimal points during addition
    Don't line up the rightmost digits like whole numbers = wrong place values! This shifts digits to wrong columns and gives incorrect results. Always align the decimal points vertically first, then add each 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 line up the decimal points?

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Lining up decimal points ensures that digits in the same place value are added together. Tenths add to tenths, hundredths to hundredths, and so on!

What if the decimal numbers have different lengths?

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No problem! You can add zeros to the end of shorter decimals. For example, 11.3 becomes 11.30, making it easier to align and add.

Do I always start adding from the right?

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Yes! Always start from the rightmost column (smallest place value) and work left, just like with whole numbers. This way you can carry over properly if needed.

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 aligned decimal points in the problem. It stays in the same column position.

What if I get confused about place values?

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Remember the pattern: tens, ones, decimal point, tenths, hundredths. You can label each column to help keep track of place values while adding.

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