Solve Four-Digit Addition: 3289 + 2835 Using Column Method

Q: What does 'carrying' mean in addition?

When you add digits and get a number 10 or greater, you write down the ones digit and carry the tens digit to the next column. For example, 9+5=14, so write 4 and carry 1.

Q: Why do I need to line up the digits vertically?

Lining up digits ensures you're adding the correct place values together - units with units, tens with tens, etc. Misaligned numbers lead to completely wrong answers!

Q: How do I remember which direction to carry?

Always carry to the left - from smaller place values to larger ones. Think: ones to tens, tens to hundreds, hundreds to thousands.

Q: What if I have multiple carries in one problem?

That's normal! Handle one column at a time from right to left. Add the original digits plus any carry from the previous column, then carry again if needed.

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

Try reverse subtraction: subtract one of the original numbers from your answer. You should get the other original number. For 6124-3289=2835 ✓

Q: What if I get confused with all the carrying?

Write the carried digits small above each column as you work. This helps you see what to add next and prevents forgetting any carries.

Column Addition with Four-Digit Carrying

$\begin{aligned} &3289 \\ +& \\ &2835 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

❤️ Continue Your Math Journey!

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

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:03 Each time consider combining 2 digits, and then we'll place

00:06 Let's start by combining ones with ones

00:09 Place the ones, add 1 to the tens

00:12 Combine tens with tens, remember to add 1 to the calculation

00:17 Place tens in tens, add 1 to hundreds

00:22 Combine hundreds with hundreds, remember to add 1

00:27 Place hundreds in hundreds, and add 1 to thousands

00:35 Combine thousands with thousands, remember to add 1

00:38 Place in thousands

00:41 And that's the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$\begin{aligned} &3289 \\ +& \\ &2835 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

Step-by-step solution

To solve this addition problem, we will follow a systematic step-by-step approach:

Step 1: Align the numbers vertically so that corresponding place values line up. We have:

$\begin{aligned} &3289 \\ + &2835 \\ \end{aligned}$

Step 2: Start adding from the rightmost digit (units place).

Units place: $9 + 5 = 14$ . Write 4 and carry over 1 to the tens place.

Step 3: Move to the next digit (tens place).

Tens place: $8 + 3 = 11$ . Add the carry 1: $11 + 1 = 12$ . Write 2 and carry over 1 to the hundreds place.

Step 4: Proceed to the hundreds place.

Hundreds place: $2 + 8 = 10$ . Add the carry 1: $10 + 1 = 11$ . Write 1 and carry over 1 to the thousands place.

Step 5: Finally, add the thousands place.

Thousands place: $3 + 2 = 5$ . Add the carry 1: $5 + 1 = 6$ . Write 6.

By compiling these results, the sum is 6124.

Therefore, the solution to the problem is $6124$ .

Final Answer

6124

Key Points to Remember

Essential concepts to master this topic

Alignment: Line up digits by place value before adding
Carrying: When sum exceeds 9, write units and carry tens
Verification: Check each column calculation: 9+5=14, carry 1 ✓

Common Mistakes

Avoid these frequent errors

Forgetting to add carried digits
Don't just add the original digits in each column = wrong sum! Missing carried digits gives answers like 5114 instead of 6124. Always add the original digits PLUS any carried amount from the previous column.

Practice Quiz

Test your knowledge with interactive questions

$\begin{aligned} &90 \\ +& \\ &~~9\\ &\underline{\phantom{776}} & \\ \end{aligned}$

FAQ

Everything you need to know about this question

What does 'carrying' mean in addition?

When you add digits and get a number 10 or greater, you write down the ones digit and carry the tens digit to the next column. For example, 9+5=14, so write 4 and carry 1.

Why do I need to line up the digits vertically?

Lining up digits ensures you're adding the correct place values together - units with units, tens with tens, etc. Misaligned numbers lead to completely wrong answers!

How do I remember which direction to carry?

Always carry to the left - from smaller place values to larger ones. Think: ones to tens, tens to hundreds, hundreds to thousands.

What if I have multiple carries in one problem?

That's normal! Handle one column at a time from right to left. Add the original digits plus any carry from the previous column, then carry again if needed.

How can I check if my answer is correct?

Try reverse subtraction: subtract one of the original numbers from your answer. You should get the other original number. For 6124-3289=2835 ✓

What if I get confused with all the carrying?

Write the carried digits small above each column as you work. This helps you see what to add next and prevents forgetting any carries.

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Arithmetic Operations 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