Solve Decimal Addition: 4.003 + 1.007 Step by Step

Q: Why do I need to align the decimal points?

Aligning decimal points ensures you're adding the same place values together - tenths with tenths, hundredths with hundredths, etc. Without alignment, you'd be adding different place values!

Q: What happens when I get 10 or more in a column?

When a column sum is 10 or more, write down the ones digit and carry the tens digit to the next column left. For example: $ 3 + 7 = 10 $, so write 0 and carry 1.

Q: Should I include trailing zeros in my answer?

Not usually! The answer $ 5.001 $ is more precise than $ 5.0010 $. Only keep trailing zeros if they're significant digits in a measurement context.

Q: How can I check if my decimal addition is correct?

Try these methods: Reverse the order: Add the second number to the firstEstimate: Round both numbers and see if your answer is reasonableSubtract: Your answer minus one addend should equal the other addend

Q: What if the decimal places don't match up?

Add trailing zeros to make them the same length! For example, if adding 4.5 + 1.007, rewrite as 4.500 + 1.007 so both have three decimal places.

Decimal Addition with Carrying

$4.003+1.007=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:03 We will use vertical addition for calculation

00:07 We should pay attention to write properly, number above number

00:14 First, we'll add the smallest digits

00:22 We'll calculate and write down the ones, remember 1 above

00:28 For this calculation we add 1

00:32 We'll write it down, and continue to add, calculate and write accordingly

00:56 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$4.003+1.007=$

Step-by-step solution

To solve this problem, we will follow these steps:

Step 1: Write the numbers $4.003$ and $1.007$ beneath each other such that their decimal points are aligned.
Step 2: Add the numbers column by column starting from the rightmost decimal place.

Let's execute these steps:

Step 1: Align the numbers by decimal points.

  4.003
+ 1.007
------

Step 2: Perform the addition from right to left.

In the thousandths column, add $3 + 7 = 10$ ; write down $0$ and carry over $1$ .
In the hundredths column, add $0 + 0 + 1 \text{(carry)} = 1$ .
In the tenths column, add $0 + 0 = 0$ .
In the units column, add $4 + 1 = 5$ .

Write the resulting sum: $5.001$ .

  4.003
+ 1.007
------
  5.001

Thus, the solution to the problem is $5.001$ .

Final Answer

5.001

Key Points to Remember

Essential concepts to master this topic

Alignment: Line up decimal points before adding any decimal numbers
Technique: Add column by column from right, carry when sum ≥ 10
Check: Verify by adding in reverse order: 1.007 + 4.003 = 5.001 ✓

Common Mistakes

Avoid these frequent errors

Adding without aligning decimal points
Don't just line up the numbers on the right like whole numbers = wrong place values! This puts tenths in hundredths column and creates incorrect sums. Always align the decimal points vertically first.

Practice Quiz

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FAQ

Everything you need to know about this question

Why do I need to align the decimal points?

Aligning decimal points ensures you're adding the same place values together - tenths with tenths, hundredths with hundredths, etc. Without alignment, you'd be adding different place values!

What happens when I get 10 or more in a column?

When a column sum is 10 or more, write down the ones digit and carry the tens digit to the next column left. For example: $3 + 7 = 10$ , so write 0 and carry 1.

Should I include trailing zeros in my answer?

Not usually! The answer $5.001$ is more precise than $5.0010$ . Only keep trailing zeros if they're significant digits in a measurement context.

How can I check if my decimal addition is correct?

Try these methods:

Reverse the order: Add the second number to the first
Estimate: Round both numbers and see if your answer is reasonable
Subtract: Your answer minus one addend should equal the other addend

What if the decimal places don't match up?

Add trailing zeros to make them the same length! For example, if adding 4.5 + 1.007, rewrite as 4.500 + 1.007 so both have three decimal places.

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