Add 4653 + 867: Multi-Digit Vertical Addition Practice

Q: What does 'carry over' actually mean?

When adding digits gives you 10 or more, you write the units digit and 'carry' the tens digit to the next column. Like $ 3 + 7 = 10 $: write 0, carry 1!

Q: Why do we start from the right side?

We start from the units column because any carrying affects the column to the left. If we started left, we'd have to redo columns when carrying happens.

Q: What if the numbers have different lengths?

Just imagine invisible zeros in front of the shorter number. So 867 becomes 0867, making it easier to align and add each column.

Q: How can I check my answer without redoing the whole problem?

Try estimation: Round 4653 to 4700 and 867 to 900. Since $ 4700 + 900 = 5600 $, your answer should be close to 5600!

Q: What if I forget to carry and get the wrong answer?

No worries! Double-check each column where the sum is 10 or more. Make sure you wrote the correct digit and carried properly to the next column.

Multi-Digit Addition with Carrying

$\begin{aligned} &4653 \\ +& \\ &~~867 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

❤️ 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 we consider joining 2 digits, and then we'll place

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

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

00:14 Add tens with tens, remember to add 1 to the calculation

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

00:21 Add hundreds with hundreds, remember to add 1

00:28 Place hundreds in hundreds, and add 1 to thousands

00:32 Place 0 in the missing digits

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

00:38 Place in thousands

00:41 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

$\begin{aligned} &4653 \\ +& \\ &~~867 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

Step-by-step solution

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

Step 1: Align the numbers 4653 and 867 for vertical addition:
Step 2: Add each digit column, starting from the right side (units place), and handle any necessary carrying over.

Let's proceed with the addition:

Step 1: Align the numbers as follows:
4653
+ 867

Step 2: Start with the rightmost column (units):

Units: $3 + 7 = 10$ . Place 0 and carry over 1 to the tens column.
Tens: $5 + 6 = 11$ , plus the carryover 1 gives us 12. Place 2 and carry over 1 to the hundreds column.
Hundreds: $6 + 8 = 14$ , plus the carryover 1 gives us 15. Place 5 and carry over 1 to the thousands column.
Thousands: $4 + 0 = 4$ , plus the carryover 1 gives us 5. Place 5.

Thus, the complete addition yields:
5520

Therefore, the solution to the problem is $5520$ .

Final Answer

5520

Key Points to Remember

Essential concepts to master this topic

Alignment: Stack numbers by place value with units column lined up
Technique: Add column by column from right, $3 + 7 = 10$ carry the 1
Check: Verify by adding left to right: 4000 + 600 + 50 + 3 + 800 + 60 + 7 = 5520 ✓

Common Mistakes

Avoid these frequent errors

Forgetting to carry over when sum exceeds 9
Don't write down 10 in the units place when 3 + 7 = 10 = wrong answer 4653 + 867 = 452010! This creates extra digits and massive errors. Always carry the tens digit to the next column and write only the units digit.

Practice Quiz

Test your knowledge with interactive questions

$\begin{aligned} &83 \\ +& \\ &~~6 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

FAQ

Everything you need to know about this question

What does 'carry over' actually mean?

When adding digits gives you 10 or more, you write the units digit and 'carry' the tens digit to the next column. Like $3 + 7 = 10$ : write 0, carry 1!

Why do we start from the right side?

We start from the units column because any carrying affects the column to the left. If we started left, we'd have to redo columns when carrying happens.

What if the numbers have different lengths?

Just imagine invisible zeros in front of the shorter number. So 867 becomes 0867, making it easier to align and add each column.

How can I check my answer without redoing the whole problem?

Try estimation: Round 4653 to 4700 and 867 to 900. Since $4700 + 900 = 5600$ , your answer should be close to 5600!

What if I forget to carry and get the wrong answer?

No worries! Double-check each column where the sum is 10 or more. Make sure you wrote the correct digit and carried properly to the next column.

🌟 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