Solve the Addition: Finding the Sum of 3089 + 4001

Q: Why do I need to line up the numbers in columns?

Place value alignment is crucial! When numbers aren't lined up properly, you might add units to tens or hundreds to thousands, giving completely wrong answers. Always align by place value.

Q: What does 'carry over' actually mean?

When two digits add up to 10 or more, you write the units digit in that column and carry the tens digit to the next column left. For example: $ 9 + 1 = 10 $ means write 0 and carry 1.

Q: What if there's nothing to add in a column?

Like in the hundreds column where we have $ 0 + 0 = 0 $. Just write down 0 and move to the next column. Every place value matters!

Q: How can I check if my answer is correct?

Try different methods: Add the numbers in reverse order (4001 + 3089)Use estimation: 3000 + 4000 = 7000 (close to 7090!)Check each column calculation step by step

Column Addition with Four-Digit Numbers

Choose the correct answer:

$3089+4001=\text{ ?}$

❤️ Continue Your Math Journey!

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

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Choose the correct answer:

$3089+4001=\text{ ?}$

Step-by-step solution

To solve this problem, we need to perform the addition of the two numbers 3089 and 4001 step by step:

Step 1: Write the numbers in column format to align their place values:
$3089$
+ $4001$
-----------
Step 2: Start adding from the rightmost digit:
- Units: $9 + 1 = 10$ . Write $0$ in the units place and carry over $1$ to the tens place.
- Tens: $8 + 0 + 1$ (carry) = $9$ . Write $9$ in the tens place.
- Hundreds: $0 + 0 = 0$ . Write $0$ in the hundreds place.
- Thousands: $3 + 4 = 7$ . Write $7$ in the thousands place.
Step 3: Combine these results to get the final sum:
The calculated sum of 3089 and 4001 is $7090$ .
Step 4: Compare the result with the provided choices to find the correct answer. The option with $7090$ is .

Therefore, the solution to the problem is $7090$ .

Final Answer

$7090$

Key Points to Remember

Essential concepts to master this topic

Alignment: Line up numbers by place value before adding
Technique: Add right to left: 9+1=10, write 0 carry 1
Check: Verify each column calculation and final sum is 7090 ✓

Common Mistakes

Avoid these frequent errors

Forgetting to carry over when sum exceeds 9
Don't write 10 in the units place when 9+1=10! This creates an impossible two-digit result in one place value. Always write the units digit (0) and carry the tens digit (1) to the next column.

Practice Quiz

Test your knowledge with interactive questions

Choose the correct answer:

$693+705=\text{ ?}$

FAQ

Everything you need to know about this question

Why do I need to line up the numbers in columns?

Place value alignment is crucial! When numbers aren't lined up properly, you might add units to tens or hundreds to thousands, giving completely wrong answers. Always align by place value.

What does 'carry over' actually mean?

When two digits add up to 10 or more, you write the units digit in that column and carry the tens digit to the next column left. For example: $9 + 1 = 10$ means write 0 and carry 1.

How do I add the carried number?

Add the carried number to whatever is already in the next column. In our problem: tens column has $8 + 0 + 1$ (carried) $= 9$ .

What if there's nothing to add in a column?

Like in the hundreds column where we have $0 + 0 = 0$ . Just write down 0 and move to the next column. Every place value matters!

How can I check if my answer is correct?

Try different methods:

Add the numbers in reverse order (4001 + 3089)
Use estimation: 3000 + 4000 = 7000 (close to 7090!)
Check each column calculation step by step

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Natural numbers up to 10,000 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