Solve Decimal Addition: 3.512 + 4.313 Step-by-Step

Decimal Addition with Three Decimal Places

Solve the following exercise and circle the appropriate answer:

3.512+4.313

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Step-by-step video solution

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00:00 Solve
00:03 Connect appropriately and place
00:13 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Solve the following exercise and circle the appropriate answer:

3.512+4.313

2

Step-by-step solution

Let's solve the exercise in order:

We'll add up the thousandths after the decimal point:

2+3=5 2+3=5

We'll add up the hundredths after the decimal point:

1+1=2 1+1=2

We'll add up the tenths after the decimal point:

5+3=8 5+3=8

Finally, we'll subtract the whole numbers before the decimal point:

3+4=7 3+4=7

And we get:

3.512+4.3137.825 3.512\\+4.313\\7.825

3

Final Answer

7.825

Key Points to Remember

Essential concepts to master this topic
  • Alignment: Line up decimal points vertically for accurate column addition
  • Technique: Add column by column from right: 2+3=5 thousandths
  • Check: Decimal point stays in same position: 3.512 + 4.313 = 7.825 ✓

Common Mistakes

Avoid these frequent errors
  • Misaligning decimal points
    Don't line up the last digits instead of decimal points = wrong place values! This causes you to add tenths to hundredths or mix up columns completely. Always align the decimal points first, then add each column separately.

Practice Quiz

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FAQ

Everything you need to know about this question

Why do I need to line up the decimal points exactly?

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

Do I add from left to right or right to left?

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Always start from the rightmost column (smallest place value) and work left! This matches how we add whole numbers and handles any carrying properly.

What if the decimal numbers have different lengths?

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Add trailing zeros to make them equal length! For example, treat 3.5 as 3.500 when adding to 2.123. The zeros don't change the value.

Where does the decimal point go in my answer?

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The decimal point in your answer goes directly below the aligned decimal points in the problem. It stays in the same column position throughout.

How can I check if my decimal addition is correct?

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Use estimation! Round each number: 3.5124 3.512 \approx 4 and 4.3134 4.313 \approx 4 , so 4+4=8 4 + 4 = 8 . Your answer 7.825 is close to 8 ✓

Can I use a calculator to check my work?

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Absolutely! Calculators are great for verification. But learning to add decimals by hand helps you understand place value and catch calculator errors.

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