Solve Decimal Addition: 0.61 + 0.20 Step-by-Step

Decimal Addition with Place Value Alignment

0.61+0.20= 0.61+0.20=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:05 Let's solve this problem together!
00:10 We'll use long addition to figure it out step by step.
00:15 First, we add the numbers, then substitute to find the answer.
00:22 And there you go, that's how we solve it!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

0.61+0.20= 0.61+0.20=

2

Step-by-step solution

To solve this problem, we'll follow these steps:

  • Align the numbers by their decimal points.
  • Add the numbers starting from the rightmost column.
  • Ensure each column's sum does not exceed ten; if it does, carry over to the next column.

Now, let's work through each step:
Step 1: Align the decimals: 0.61 + 0.20
Step 2: Add the hundredths place: 1+0=11 + 0 = 1.
Step 3: Add the tenths place: 6+2=86 + 2 = 8.
Step 4: Add the units (whole number) place: There are no whole numbers to add here, so the sum remains as is.

Therefore, the solution to the problem is 0.81 0.81 .

3

Final Answer

0.81 0.81

Key Points to Remember

Essential concepts to master this topic
  • Alignment: Line up decimal points vertically before adding
  • Technique: Add column by column: 1+0=1, then 6+2=8
  • Check: Verify decimal point placement: 0.61 + 0.20 = 0.81 โœ“

Common Mistakes

Avoid these frequent errors
  • Adding without aligning decimal points
    Don't just add digits left to right like 61 + 20 = 81! This ignores place values and gives wrong decimal placement. Always line up decimal points vertically first, then add each column.

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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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Decimal points must align so you're adding like place values together - tenths with tenths, hundredths with hundredths. Without alignment, you'd be adding different place values!

What if one number has fewer decimal places?

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You can add zeros to the right! For example, 0.20 is the same as 0.20. This helps you see all place values clearly when adding.

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 ensures proper carrying 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 in the same column as the decimal points in the problem. If they're aligned properly, this happens automatically!

What if I need to carry over in decimal addition?

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Carrying works the same as with whole numbers! If a column adds to 10 or more, write the ones digit and carry the tens digit to the next column left.

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