Solve the Vertical Addition: 289 + 1 Step by Step

Q: Why do I need to write the numbers vertically instead of horizontally?

Vertical alignment helps you keep track of place values! When numbers are stacked, ones align with ones, tens with tens, making it easier to add correctly and avoid place value errors.

Q: What does 'carry over' actually mean?

When a column adds up to 10 or more, you carry means moving the tens digit to the next column left. Think of it as regrouping - 10 ones become 1 ten!

Q: Do I always start adding from the right side?

Yes! Always start from the ones place (rightmost column) because any carrying affects the columns to the left. Working right to left ensures you handle all carries properly.

Q: What if there's no number in a column to add?

Treat missing digits as zero. In this problem, 1 is really 001, so the tens and hundreds places have 0 to add with 289's digits.

Q: How can I check if my vertical addition is correct?

Try adding horizontally: $ 289 + 1 = 290 $. You can also count up from 289: 290 is indeed one more. Both methods should give the same answer!

Vertical Addition with Simple Carry

$\begin{aligned} &289 \\ +& \\ &~~~~1 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

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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 Let's start by combining ones with ones

00:12 Place the ones in ones, add 1 to tens

00:16 Place 0 in the missing digits

00:19 Add the tens, remember to add 1, and place in tens

00:28 Place 0 in the missing digits

00:31 Add the hundreds, and place in hundreds

00:34 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

$\begin{aligned} &289 \\ +& \\ &~~~~1 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

Step-by-step solution

To solve this problem, we'll use vertical addition:

Step 1: Align the numbers vertically so that the digits of each place value line up:
$\begin{array}{c} 289 \\ +1 \\ \underline{\phantom{776}} \\ \end{array}$
Step 2: Start adding from the rightmost column, the units place:
$9 + 1 = 10$ . Write $0$ in the units place and carry over $1$ to the tens place.
Step 3: Move to the tens column, add the tens digits and the carry-over $1$ :
$8 + 0 + 1 = 9$ . Place $9$ in the tens place.
Step 4: Move to the hundreds column, add the remaining numbers:
$2 + 0 = 2$ . Place $2$ in the hundreds place.

The total sum reflects in the alignment:

$\begin{array}{c} 289 \\ +1 \\ \underline{\phantom{776}} \\ 290 \end{array}$

Therefore, the solution to the problem is $290$ .

Final Answer

290

Key Points to Remember

Essential concepts to master this topic

Alignment: Line up digits by place value before adding
Technique: Start from ones place: 9 + 1 = 10, write 0 carry 1
Check: Final answer 290 is 1 more than 289 ✓

Common Mistakes

Avoid these frequent errors

Forgetting to carry when sum exceeds 9
Don't write 10 in the ones place = wrong answer 28910! When any column sum is 10 or more, you must write the ones digit and carry the tens digit to the next column. Always carry over when column sums exceed 9.

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

Why do I need to write the numbers vertically instead of horizontally?

Vertical alignment helps you keep track of place values! When numbers are stacked, ones align with ones, tens with tens, making it easier to add correctly and avoid place value errors.

What does 'carry over' actually mean?

When a column adds up to 10 or more, you carry means moving the tens digit to the next column left. Think of it as regrouping - 10 ones become 1 ten!

Do I always start adding from the right side?

Yes! Always start from the ones place (rightmost column) because any carrying affects the columns to the left. Working right to left ensures you handle all carries properly.

What if there's no number in a column to add?

Treat missing digits as zero. In this problem, 1 is really 001, so the tens and hundreds places have 0 to add with 289's digits.

How can I check if my vertical addition is correct?

Try adding horizontally: $289 + 1 = 290$ . You can also count up from 289: 290 is indeed one more. Both methods should give the same answer!

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