Verify the Addition Format: 3.05 + 213.22 Vertical Alignment

Decimal Addition with Proper Alignment

Determine whether the exercise is correctly written or not.

3.05+213.22

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Determine if the decimal point placement is 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
00:20 In our exercise, the decimal points are not aligned one above the other
00:23 Therefore, the decimal point placement is incorrect
00:26 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+213.22

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
  • Rule: Decimal points must line up vertically for correct addition
  • Technique: Place 3.05 and 213.22 with dots aligned in same column
  • Check: Count decimal places: both numbers show hundredths position correctly ✓

Common Mistakes

Avoid these frequent errors
  • Writing decimals without aligning decimal points
    Don't place numbers randomly like 3.05 above 213.22 without lining up the dots = wrong place values added together! This mixes ones with tenths, tenths with hundredths, creating incorrect sums. Always align decimal points vertically first.

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?

+

Decimal points show place value positions. When they're aligned, you add ones to ones, tenths to tenths, hundredths to hundredths. Misaligned decimals mix up these positions and give wrong answers!

What if the numbers have different amounts of decimal places?

+

Add zeros to make them equal! For example, change 3.5 to 3.50 when adding to 2.75. This helps you see the alignment clearly without changing the value.

How can I tell if my decimal addition is set up correctly?

+

Draw an imaginary straight vertical line through all the decimal points. If the line passes through every decimal point perfectly, your setup is correct!

Does it matter which number goes on top?

+

Not for the final answer, but it's easier to put the larger number on top. This reduces borrowing and makes the calculation smoother.

What happens if I don't align the decimal points?

+

You'll get a completely wrong answer! For example, 3.05 + 213.22 misaligned might give you 216.27 instead of the correct 216.27. Always double-check your alignment first.

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Decimal Fractions - Basic questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations