Solve: Adding Decimal Numbers 321.301 + 210.1

Decimal Addition with Different Place Values

Solve the following exercise:

321.301+210.1

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:07 Let's solve this math problem together.
00:10 First, place a zero in the correct positions.
00:14 Now, let's add them up carefully and place each sum correctly.
00:28 And that's how we find the answer to this question. Well done!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Solve the following exercise:

321.301+210.1

2

Step-by-step solution

To avoid confusion in solving the exercise, we will first add two zeros to the number 210.1 as follows:

321.301+210.100 321.301\\+210.100\\

Now let's solve the exercise in order:

Let's connect the thousandths after the decimal point:

1+0=1 1+0=1

Let's connect the hundredths after the decimal point:

0+0=0 0+0=0

Let's connect the tenths after the decimal point:

3+1=4 3+1=4

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

1+0=1 1+0=1

2+1=3 2+1=3

3+2=5 3+2=5

And we obtain the following:

321.301+210.100531.401 321.301\\+210.100\\531.401

3

Final Answer

531.401

Key Points to Remember

Essential concepts to master this topic
  • Alignment: Line up decimal points vertically before adding
  • Technique: Add zeros as placeholders: 210.1 becomes 210.100
  • Check: Count decimal places: 321.301 + 210.100 = 531.401 ✓

Common Mistakes

Avoid these frequent errors
  • Adding decimals without proper alignment
    Don't just line up the last digits like 321.301 + 210.1 = wrong answer! This misaligns place values and creates incorrect sums. Always align decimal points vertically and add zeros as needed.

Practice Quiz

Test your knowledge with interactive questions

\( 2.6:0.1= \)

FAQ

Everything you need to know about this question

Why do I need to add zeros to 210.1?

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Adding zeros as placeholders helps you see all place values clearly! 210.1 210.1 becomes 210.100 210.100 , making it easier to add column by column without missing any digits.

What if the decimal numbers have different lengths?

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No problem! Just add zeros to the right of the shorter decimal until both numbers have the same number of digits after the decimal point. This doesn't change the value!

Do I start adding from left to right or right to left?

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Always start from the rightmost column (smallest place value) and work left, just like with whole numbers. This way you can handle any carrying correctly.

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

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Easy! The decimal point in your answer goes in the same column as the decimal points in the numbers you're adding. It lines up perfectly when you align everything correctly.

What happens if I forget to align the decimal points?

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You'll get the wrong answer because you're adding wrong place values together! Always double-check that your decimal points are lined up vertically before you start adding.

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