Solve: Adding 24679 and 35813 Using Vertical Format

Q: What does 'carrying' mean in addition?

When you add digits and get a number ≥ 10, you carry the tens digit to the next column. For example, $9 + 3 = 12$, so write 2 and carry the 1 to add with the tens column.

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

We start from the units place because any carrying affects the next column to the left. If we started from the left, we'd mess up our carrying and get the wrong answer!

Q: What if I forget to carry a number?

Your final answer will be wrong! Always double-check each column where the sum is 10 or more. Write down small carry numbers above the next column to help you remember.

Q: What happens when I carry from the leftmost column?

When you carry from the highest place value (like ten-thousands), you create a new column! In this problem, carrying 1 from thousands creates the 6 in ten-thousands place.

Multi-Digit Addition with Carrying

$\begin{aligned} &24679\\ +& \\ &35813 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

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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 Start by combining ones with ones

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

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

00:19 Place tens in tens, and add 1 to hundreds

00:24 Combine hundreds with hundreds, add 1 to the calculation

00:28 Place in hundreds

00:32 Combine thousands with thousands, place in thousands

00:36 Combine tens of thousands with tens of thousands, and place

00:40 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

$\begin{aligned} &24679\\ +& \\ &35813 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

Step-by-step solution

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

Step 1: Align the numbers 24679 and 35813 by their place values. Write the numbers one above the other, ensuring digits align from right (units) to left (ten-thousands).
Step 2: Add each column starting from the rightmost side:

Add the units: $9 + 3 = 12$ . Write 2 in the units place and carry over 1 to the tens.
Add the tens: $7 + 1 = 8$ plus carry 1 gives 9. Write 9 in the tens place.
Add the hundreds: $6 + 8 = 14$ . Write 4 in the hundreds place and carry over 1 to the thousands.
Add the thousands: $4 + 5 = 9$ plus carry 1 gives 10. Write 0 in the thousands place and carry over 1 to the ten-thousands.
Add the ten-thousands: $2 + 3 = 5$ plus carry 1 gives 6. Write 6 in the ten-thousands place.

Therefore, the sum of 24679 and 35813 is $60492$ .

Final Answer

60492

Key Points to Remember

Essential concepts to master this topic

Alignment: Stack numbers by place value from right to left
Technique: Add units first: $9 + 3 = 12$ , write 2, carry 1
Check: Add left to right: $60000 + 400 + 90 + 2 = 60492$ ✓

Common Mistakes

Avoid these frequent errors

Adding columns without carrying over
Don't write 12 in the units column when 9 + 3 = 12! This creates a two-digit number in a single place value, making your answer completely wrong. Always write the units digit and carry the tens digit to the next 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, you carry the tens digit to the next column. For example, $9 + 3 = 12$ , so write 2 and carry the 1 to add with the tens column.

Why do I start adding from the right side?

We start from the units place because any carrying affects the next column to the left. If we started from the left, we'd mess up our carrying and get the wrong answer!

What if I forget to carry a number?

Your final answer will be wrong! Always double-check each column where the sum is 10 or more. Write down small carry numbers above the next column to help you remember.

How can I check if my vertical addition is correct?

Try adding the numbers in a different order, or break down your answer by place value: $60492 = 60000 + 400 + 90 + 2$ . You can also use a calculator to verify!

What happens when I carry from the leftmost column?

When you carry from the highest place value (like ten-thousands), you create a new column! In this problem, carrying 1 from thousands creates the 6 in ten-thousands place.

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