Solve Three-Digit Addition: 273 + 899 in Vertical Format

Q: What does it mean to 'carry over' a number?

When two digits add up to 10 or more, you write down the ones digit and move the tens digit to the next column on the left. For example, $3 + 9 = 12$ means write 2 and carry 1.

Q: Why do I need to line up the numbers by place value?

Proper alignment ensures you're adding ones to ones, tens to tens, and hundreds to hundreds. If numbers aren't aligned, you'll add digits from different place values together!

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

You can reverse the process by subtracting one addend from your answer. For example: $1172 - 899 = 273$ ✓ This confirms our answer is right!

Q: What happens when the hundreds place sum has two digits?

When hundreds place sums to 10 or more (like $2 + 8 + 1 = 11$), the extra digit becomes the thousands place. So 11 in hundreds becomes 1 in thousands and 1 in hundreds.

Three-Digit Addition with Carrying Multiple Places

$\begin{aligned} &273 \\ +& \\ &899 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:03 Each time we consider combining 2 digits, and then we place

00:06 Let's start by combining ones with ones

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

00:13 Combine tens with tens, remember to add 1 to the calculation

00:17 Place tens in tens, add 1 to hundreds

00:22 Combine hundreds with hundreds, remember to add 1

00:26 Place hundreds in hundreds, and add 1 to thousands

00:30 Place 0 in the missing digits

00:33 Combine thousands with thousands, remember to add 1

00:36 Place in thousands

00:39 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

$\begin{aligned} &273 \\ +& \\ &899 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

Step-by-step solution

To solve this problem, we'll proceed by using vertical addition:

Step 1: Align the numbers by their place values.
Step 2: Add the digits in the units place: $3 + 9 = 12$ . Write down 2 and carry over 1 to the tens column.
Step 3: Add the digits in the tens place along with the carried-over value: $7 + 9 + 1 = 17$ . Write down 7 and carry over 1 to the hundreds column.
Step 4: Add the digits in the hundreds place along with the carried-over value: $2 + 8 + 1 = 11$ . Write down 1, and since there's no more digit to process, the remaining 1 represents a thousand. Thus, we write down 11 for the thousands and hundreds place.

Therefore, the solution to the addition problem is $1172$ .

Final Answer

1172

Key Points to Remember

Essential concepts to master this topic

Alignment: Stack numbers by place value before adding digits
Carrying: When sum ≥ 10, write ones digit and carry tens
Verification: Check each column adds correctly: 3+9=12, 7+9+1=17, 2+8+1=11 ✓

Common Mistakes

Avoid these frequent errors

Forgetting to carry over when digits sum to 10 or more
Don't write down the full two-digit sum like writing 12 instead of 2 in the ones place = wrong answer! This ignores place value rules. Always write the ones 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 it mean to 'carry over' a number?

When two digits add up to 10 or more, you write down the ones digit and move the tens digit to the next column on the left. For example, $3 + 9 = 12$ means write 2 and carry 1.

Why do I need to line up the numbers by place value?

Proper alignment ensures you're adding ones to ones, tens to tens, and hundreds to hundreds. If numbers aren't aligned, you'll add digits from different place values together!

What if I have to carry from multiple columns?

That's normal in problems like this one! Just handle one column at a time from right to left. Each carry-over becomes part of the next column's addition.

How can I check if my addition is correct?

You can reverse the process by subtracting one addend from your answer. For example: $1172 - 899 = 273$ ✓ This confirms our answer is right!

What happens when the hundreds place sum has two digits?

When hundreds place sums to 10 or more (like $2 + 8 + 1 = 11$ ), the extra digit becomes the thousands place. So 11 in hundreds becomes 1 in thousands and 1 in hundreds.

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Arithmetic Operations questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime