Solve Decimal Addition: 6.55 + 3.412 Step-by-Step

Decimal Addition with Different Place Values

Solve the following exercise:

6.55+3.412

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:05 Place 0 in the appropriate place, place the point in the appropriate place
00:11 Connect accordingly, and place
00:21 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 exercise:

6.55+3.412

2

Step-by-step solution

To avoid confusion in solving the exercise, we will first add the digit 0 to the number 6.55 as follows:

6.550+3.412 6.550\\+3.412\\

Now let's solve the exercise in order:

Let's add the thousandths after the decimal point:

0+2=2 0+2=2

Let's add the hundredths after the decimal point:

5+1=6 5+1=6

Let's add the tenths after the decimal point:

5+4=9 5+4=9

Finally, let's add the whole numbers before the decimal point:

6+3=9 6+3=9

And we obtain the following:

6.550+3.4129.962 6.550\\+3.412\\9.962

3

Final Answer

9.962

Key Points to Remember

Essential concepts to master this topic
  • Alignment: Line up decimal points to align place values correctly
  • Technique: Add zeros like 6.55 becomes 6.550 for easier calculation
  • Check: Count decimal places: 6.550 + 3.412 = 9.962 has three places ✓

Common Mistakes

Avoid these frequent errors
  • Not aligning decimal points properly
    Don't line up the rightmost digits instead of decimal points = wrong place value alignment! This puts tenths with hundredths and creates incorrect sums. Always align the decimal points vertically first, then add from right to left.

Practice Quiz

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FAQ

Everything you need to know about this question

Why do I need to add a zero to 6.55?

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Adding zero to make 6.550 doesn't change the value, but it helps you see all place values clearly. Now you can easily add thousandths (0+2), hundredths (5+1), and tenths (5+4)!

What if the numbers have different amounts of decimal places?

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Always add trailing zeros to make both numbers have the same number of decimal places. For example, 6.55 becomes 6.550 to match 3.412's three decimal places.

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

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The decimal point in your answer goes in the same column as the decimal points you lined up in the problem. If you align them properly, the answer's decimal point falls right into place!

Do I need to carry over when adding decimals?

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Yes! Carrying works exactly the same as with whole numbers. If 5+4=9 in the tenths place, write 9. If you get 8+7=15, write 5 and carry the 1 to the next column.

Can I check my answer somehow?

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Absolutely! Try adding in reverse order: 3.412+6.550=9.962 3.412 + 6.550 = 9.962 . You can also use estimation: 6.55 is about 7, and 3.412 is about 3, so 7+3=10 is close to 9.962!

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