Calculate the Sum: 24789 + 35140 Using Vertical Addition

Q: Why do I start adding from the right side instead of the left?

We start from the units place (rightmost) because any carrying affects the column to the left. If we started from the left, we'd have to go back and change our work when carrying occurs!

Q: What does 'carry over' actually mean?

Carrying means when a column sum is 10 or more, you write the ones digit below the line and add the tens digit to the next column left. Like 8 + 4 = 12: write 2, carry 1.

Q: How do I know if I aligned the numbers correctly?

Make sure digits with the same place value are in the same column! Units under units, tens under tens, etc. The rightmost digits should line up vertically.

Q: What if one number has fewer digits than the other?

Align by the rightmost digits (units place)Treat missing digits as zeroIn this problem: 24789 + 35140 both have 5 digits, so they align perfectly

Q: Can I add the columns in any order I want?

No! You must go from right to left (units → tens → hundreds, etc.) because carrying only works forward. Going out of order will give you wrong answers.

Q: How can I double-check my addition is correct?

Try these methods:Add again from bottom to topEstimate: 25000 + 35000 ≈ 60000 (close to 59929 ✓)Subtract: 59929 - 24789 should equal 35140

Vertical Addition with Five-Digit Numbers

$\begin{aligned} &24789\\ +& \\ &35140 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:07 Let's solve this problem together!

00:10 First, we'll combine two digits at a time.

00:14 Let's start by adding the ones place with the ones place.

00:18 Place the result in the ones column.

00:22 Now, add the tens place with the tens place.

00:25 Put the sum in the tens column and carry over one to the hundreds.

00:30 Add the hundreds place next, and remember to add one more.

00:35 Place the total in the hundreds column.

00:38 Add the thousands place to the thousands place and place it in the thousands column.

00:43 Finally, add the tens of thousands together and place the total in that column.

00:49 And that's our solution! Well done!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$\begin{aligned} &24789\\ +& \\ &35140 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

Step-by-step solution

To solve this problem, we will perform vertical addition of the given numbers:

$\begin{aligned} &24789\\ +& \\ &35140 \\ &\underline{\phantom{776}}\\ \end{aligned}$

We add column by column starting from the rightmost digit (units):

Units: $9 + 0 = 9$ . Write 9 below the line.
Tens: $8 + 4 = 12$ . Write 2 below the line and carry over 1 to the next column.
Hundreds: $7 + 1 + 1 (\text{carry}) = 9$ . Write 9 below the line.
Thousands: $4 + 5 = 9$ . Write 9 below the line.
Ten-thousands: $2 + 3 = 5$ . Write 5 below the line.

Putting it all together, the sum is $59929$ .

Therefore, the solution to the problem is $59929$ .

Final Answer

59929

Key Points to Remember

Essential concepts to master this topic

Rule: Always align digits by place value before adding columns
Technique: Start from units: 9 + 0 = 9, then carry when sum ≥ 10
Check: Add horizontally: 24789 + 35140 = 59929 ✓

Common Mistakes

Avoid these frequent errors

Forgetting to carry over when column sum exceeds 9
Don't write 12 in the tens place when 8 + 4 = 12! This creates wrong place values and incorrect final answers. Always write the units digit (2) and carry the tens digit (1) 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

Why do I start adding from the right side instead of the left?

We start from the units place (rightmost) because any carrying affects the column to the left. If we started from the left, we'd have to go back and change our work when carrying occurs!

What does 'carry over' actually mean?

Carrying means when a column sum is 10 or more, you write the ones digit below the line and add the tens digit to the next column left. Like 8 + 4 = 12: write 2, carry 1.

How do I know if I aligned the numbers correctly?

Make sure digits with the same place value are in the same column! Units under units, tens under tens, etc. The rightmost digits should line up vertically.

What if one number has fewer digits than the other?

Align by the rightmost digits (units place)
Treat missing digits as zero
In this problem: 24789 + 35140 both have 5 digits, so they align perfectly

Can I add the columns in any order I want?

No! You must go from right to left (units → tens → hundreds, etc.) because carrying only works forward. Going out of order will give you wrong answers.

How can I double-check my addition is correct?

Try these methods:

Add again from bottom to top
Estimate: 25000 + 35000 ≈ 60000 (close to 59929 ✓)
Subtract: 59929 - 24789 should equal 35140

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