Solve Five-Digit Addition: 63636 + 12197 Using Column Method

Q: What happens when I add two digits and get a number bigger than 9?

When you get a two-digit sum, write down the ones digit and carry the tens digit to the next column. For example: $6 + 7 = 13$, so write 3 and carry 1.

Q: Do I always start adding from the right side?

Yes! Always start from the ones place (rightmost column) and work your way left. This ensures you handle carries correctly as you move through each place value.

Q: What if I forget to add a carried number?

You'll get the wrong answer! Always remember to add the carried digit to the next column's sum. Write small carried numbers above the columns to help remember them.

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

Try these methods: Add again starting from the leftReverse the numbers (12197 + 63636)Estimate: 64000 + 12000 ≈ 76000, close to 75833 ✓

Q: Why do we line up the numbers in columns?

Columns keep place values aligned! Ones with ones, tens with tens, etc. Without proper alignment, you might add a tens digit to a hundreds place and get completely wrong answers.

Column Addition with Carry-Over Management

$\begin{aligned} &63636\\ +& \\ &12197 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

❤️ 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 place

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

00:09 Place the ones in ones position, and add 1 to tens

00:13 Combine tens with tens, remember to add 1 to the calculation

00:18 Place tens in tens position, and add 1 to hundreds

00:26 Combine hundreds with hundreds, and add 1 to the calculation

00:30 Place in hundreds

00:37 Combine thousands with thousands, place in thousands

00:42 Combine tens of thousands with tens of thousands

00:45 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

$\begin{aligned} &63636\\ +& \\ &12197 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

Step-by-step solution

To solve this problem, we'll follow these steps for vertical addition:

Add the digits in the units place: $6 + 7 = 13$ . Write down $3$ and carry over $1$ .
Add the digits in the tens place with the carry-over: $3 + 9 + 1 = 13$ . Write down $3$ and carry over $1$ .
Add the digits in the hundreds place with the carry-over: $6 + 1 + 1 = 8$ . Write down $8$ .
Add the digits in the thousands place: $3 + 2 = 5$ . Write down $5$ .
Add the digits in the ten-thousands place: $6 + 1 = 7$ . Write down $7$ .

Carrying out these calculations step-by-step gives us the final sum as:

$75833$

This corresponds to choice 4. Therefore, the solution to the problem is $75833$ .

Final Answer

75833

Key Points to Remember

Essential concepts to master this topic

Alignment: Write digits in proper columns starting from ones place
Technique: Add 6+7=13, write 3 and carry 1 to next column
Check: Verify by adding from left: 70000+5000+800+30+3=75833 ✓

Common Mistakes

Avoid these frequent errors

Forgetting to carry over when sum exceeds 9
Don't ignore carries when adding 6+7=13 and just write 13 = wrong answer 741913! This creates extra digits and wrong place values. Always write the ones digit and carry the tens digit to the next column.

Practice Quiz

Test your knowledge with interactive questions

$\begin{aligned} &12 \\ +& \\ &~~2 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

FAQ

Everything you need to know about this question

What happens when I add two digits and get a number bigger than 9?

When you get a two-digit sum, write down the ones digit and carry the tens digit to the next column. For example: $6 + 7 = 13$ , so write 3 and carry 1.

Do I always start adding from the right side?

Yes! Always start from the ones place (rightmost column) and work your way left. This ensures you handle carries correctly as you move through each place value.

What if I forget to add a carried number?

You'll get the wrong answer! Always remember to add the carried digit to the next column's sum. Write small carried numbers above the columns to help remember them.

How can I check if my addition is correct?

Try these methods:

Add again starting from the left
Reverse the numbers (12197 + 63636)
Estimate: 64000 + 12000 ≈ 76000, close to 75833 ✓

Why do we line up the numbers in columns?

Columns keep place values aligned! Ones with ones, tens with tens, etc. Without proper alignment, you might add a tens digit to a hundreds place and get completely wrong answers.

🌟 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