Solve Vertical Addition: 589 + 263 Step-by-Step

Q: What does 'carry over' actually mean?

When two digits add up to 10 or more, you write down the ones digit and move the tens digit to the next column. Think of it like borrowing but in reverse!

Q: Why do I start from the right side?

We start with the ones place (rightmost) because any carrying affects the next column to the left. Working left to right would mess up our carries!

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

Your answer will be wrong! Always remember: column digits + any carried amount. Write a small number above the column to remind yourself.

Q: Can I check my work a different way?

Add the numbers horizontally: $ 589 + 263 $Use estimation: $ 600 + 300 = 900 $ (close to 852)Subtract to verify: $ 852 - 263 = 589 $ ✓

Q: What if there are more than two numbers to add?

Same process! Add one column at a time from right to left, carrying when needed. It doesn't matter how many numbers you're adding vertically.

Vertical Addition with Multi-Digit Carrying

$\begin{aligned} &589 \\ +& \\ &263 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

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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 write down

00:06 Start by multiplying ones with ones

00:09 Write down the ones, carry 1 to tens

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

00:19 Write down tens in tens place, carry 1 to hundreds

00:24 Multiply hundreds with hundreds, remember to add 1

00:30 Write in hundreds place

00:33 And this is the solution to the problem

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$\begin{aligned} &589 \\ +& \\ &263 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

Step-by-step solution

To solve this problem, we will perform vertical addition on the two numbers, 589 and 263:

Step 1: Add the units place.
The units digits are 9 (from 589) and 3 (from 263).
9 + 3 = 12. Write down 2 in the units place and carry over 1 to the tens place.
Step 2: Add the tens place.
The tens digits are 8 (from 589) and 6 (from 263), plus the carry-over 1 from the previous step.
8 + 6 + 1 = 15. Write down 5 in the tens place and carry over 1 to the hundreds place.
Step 3: Add the hundreds place.
The hundreds digits are 5 (from 589) and 2 (from 263), plus the carry-over 1 from the previous step.
5 + 2 + 1 = 8. Write down 8 in the hundreds place.

Combining our results, the sum of 589 and 263 is $852$ .

Final Answer

852

Key Points to Remember

Essential concepts to master this topic

Alignment: Stack numbers by place value, ones under ones
Carrying: When sum ≥ 10, write ones digit and carry tens
Verification: Add horizontally: 589 + 263 = 852 to double-check ✓

Common Mistakes

Avoid these frequent errors

Forgetting to carry over when digits sum to 10 or more
Don't just write down the full sum like 12 in one place = wrong place values! This creates numbers like 8512 instead of 852. 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 does 'carry over' actually mean?

When two digits add up to 10 or more, you write down the ones digit and move the tens digit to the next column. Think of it like borrowing but in reverse!

Why do I start from the right side?

We start with the ones place (rightmost) because any carrying affects the next column to the left. Working left to right would mess up our carries!

What if I forget to add the carried number?

Your answer will be wrong! Always remember: column digits + any carried amount. Write a small number above the column to remind yourself.

Can I check my work a different way?

Add the numbers horizontally: $589 + 263$
Use estimation: $600 + 300 = 900$ (close to 852)
Subtract to verify: $852 - 263 = 589$ ✓

What if there are more than two numbers to add?

Same process! Add one column at a time from right to left, carrying when needed. It doesn't matter how many numbers you're adding vertically.

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