Verify the Vertical Addition: Is 3.05 + 53.2 Written Correctly?

Decimal Addition with Place Value Alignment

Determine whether the exercise is correctly written or not.

3.05+53.2

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Determine, is the decimal point position correct?
00:03 We'll use long addition to find the position of the decimal point
00:07 In long addition, the decimal points must be aligned one above the other
00:25 In our exercise, the decimal points are not aligned one above the other
00:28 Therefore, the decimal point position is incorrect
00:30 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

Determine whether the exercise is correctly written or not.

3.05+53.2

2

Step-by-step solution

Note that the decimal points are not written one below the other. They do not correspond.

Therefore, the exercise is not written correctly.

3

Final Answer

Not true

Key Points to Remember

Essential concepts to master this topic
  • Alignment Rule: Decimal points must line up vertically in addition
  • Technique: Write 3.05 above 53.2 with decimal points aligned
  • Check: Verify same place values are in same columns ✓

Common Mistakes

Avoid these frequent errors
  • Not aligning decimal points vertically
    Don't write numbers randomly without aligning decimal points = wrong place value addition! When decimals aren't aligned, you add tenths to ones or hundredths to tenths, giving completely incorrect sums. Always line up decimal points exactly one below the other.

Practice Quiz

Test your knowledge with interactive questions

\( \text{0.6+0}.5= \)

+=

FAQ

Everything you need to know about this question

Why do decimal points need to line up exactly?

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Decimal points show place value positions! When they're aligned, you add same place values together - ones with ones, tenths with tenths, hundredths with hundredths.

What happens if I don't align them correctly?

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You'll get the wrong answer! For example, if 3.05 + 53.2 isn't aligned properly, you might accidentally add 5 hundredths to 2 tenths instead of adding them correctly.

Do I need to add zeros to make them the same length?

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It helps! You can write 53.2 as 53.20 to match 3.05's two decimal places. This makes it easier to see that place values are properly aligned.

How can I check if my vertical setup is correct?

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Look at your decimal points - they should form a perfect vertical line. If they're zigzagged or offset, your setup needs fixing before you add.

Is this the same rule for subtraction?

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Yes! All decimal operations (addition, subtraction) require proper alignment. The decimal point in your answer goes directly below the others too.

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