Solve the Decimal Addition: 21.38 + 13.41 Step-by-Step

Decimal Addition with Multi-Place Alignment

Solve the following exercise and circle the appropriate answer:

21.38+13.41

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00:00 Solve
00:03 Let's connect accordingly, and place
00:13 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Solve the following exercise and circle the appropriate answer:

21.38+13.41

2

Step-by-step solution

Let's solve the following exercise in the correct order:

Add up the hundredths after the decimal point:

8+1=9 8+1=9

Add up the tenths after the decimal point:

3+4=7 3+4=7

Finally, we'll add up the whole numbers before the decimal point accordingly:

1+3=4 1+3=4

2+1=3 2+1=3

We obtain the following result:

21.38+13.4134.79 21.38\\+13.41\\34.79

3

Final Answer

34.79

Key Points to Remember

Essential concepts to master this topic
  • Alignment: Line up decimal points vertically before adding
  • Technique: Add column by column: 8+1=9, 3+4=7, 1+3=4, 2+1=3
  • Check: Verify decimal placement: 21.38 + 13.41 = 34.79 โœ“

Common Mistakes

Avoid these frequent errors
  • Not aligning decimal points properly
    Don't add numbers without lining up decimal points = wrong place values! This causes you to add wrong digits together like 8+4 instead of 8+1. Always align decimal points 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 line up the decimal points?

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Lining up decimal points ensures you're adding the same place values together - hundredths with hundredths, tenths with tenths, ones with ones. Without proper alignment, you'll get the wrong answer!

What order should I add the columns?

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Always start from the rightmost column (hundredths) and work left. This is the same as adding whole numbers: 8+1=9, then 3+4=7, then 1+3=4, finally 2+1=3.

Do I need to carry over in decimal addition?

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Yes! If any column adds up to 10 or more, carry the extra digit to the next column on the left, just like with whole numbers.

How can I check if my answer is correct?

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Use estimation: 21+13=34 21 + 13 = 34 , so your answer should be close to 34. Since 34.79 34.79 is close to 34, it makes sense!

What if the decimal numbers have different amounts of digits?

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No problem! You can add zeros to make them the same length. For example, 21.38 + 13.4 becomes 21.38 + 13.40.

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