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

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

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:06 Let's solve this problem together.

00:09 We will join two digits at a time and place them correctly.

00:14 First, add the ones digit with the ones.

00:18 Put the result in the ones place, and add one to the tens.

00:22 Now, add the tens digit with the tens, and don't forget to add one.

00:28 Place this sum in the tens place, and add one to the hundreds.

00:33 Add hundreds with hundreds, and remember to add one.

00:37 Place that result in the hundreds, and add one to the thousands.

00:41 Fill in the missing digits with zero.

00:44 Next, add thousands with thousands, and include one.

00:48 Place this in the thousands spot.

00:51 And that's how we find the solution to the problem.

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

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

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.

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