Solve the Addition Problem: 215 + 3 in Vertical Format

Vertical Addition with Place Value Alignment

215+    3776 \begin{aligned} &215 \\ +& \\ &~~~~3 \\ &\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 calculate the sum of 2 digits, and then we substitute
00:06 Let's start by adding ones with ones
00:12 Place 0 in the missing digits
00:15 Add the tens, and place in tens position
00:18 Place 0 in the missing digits
00:21 Add the hundreds, and place in hundreds position
00:24 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

215+    3776 \begin{aligned} &215 \\ +& \\ &~~~~3 \\ &\underline{\phantom{776}} & \\ \end{aligned}

2

Step-by-step solution

To solve this problem, we'll perform vertical addition by following these steps:

  • Step 1: Align the numbers 215 and 3 vertically, ensuring the rightmost digits (the ones place) line up:

215+13776 \begin{array}{r} 215 \\ + \phantom{1}3 \\ \underline{\phantom{776}} \\ \end{array}

  • Step 2: Add the digits in the ones place: 5+3=85 + 3 = 8. Write 8 in the ones place of the sum.
  • Step 3: Move to the tens place. Since there is no digit in the tens place for 3, we add 1+0=11 + 0 = 1. Write 1 in the tens place of the sum.
  • Step 4: For the hundreds place, there is only the digit 2 from 215, so write 2 in the hundreds place of the sum.

The resulting sum is:

1218 \begin{array}{r} \phantom{1}218 \\ \end{array}

Therefore, the solution to the problem is 218 218 .

3

Final Answer

218

Key Points to Remember

Essential concepts to master this topic
  • Alignment Rule: Line up digits by place value (ones, tens, hundreds)
  • Technique: Start from rightmost column: 5 + 3 = 8
  • Check: Verify answer 218 by adding horizontally: 215 + 3 = 218 ✓

Common Mistakes

Avoid these frequent errors
  • Misaligning digits by lining up on the left
    Don't line up 215 and 3 from the left side = wrong answer like 518! This ignores place values completely. Always align numbers by their rightmost digits (ones place) first.

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 can't I just line up the numbers from the left side?

+

Numbers must be aligned by place value, not by length! The digit 3 represents 3 ones, so it must go in the ones column under the 5 in 215.

What if one number is shorter than the other?

+

That's normal! The shorter number (like 3) simply has invisible zeros in the higher place values. Think of 3 as 003 when adding to 215.

Do I always start adding from the right?

+

Yes! Always start from the ones place (rightmost column) and work your way left. This follows the natural order of place values.

What happens if I get a sum greater than 9 in a column?

+

You'll need to carry over! Write down the ones digit and carry the tens digit to the next column on the left.

How can I check if my vertical addition is correct?

+

Try adding horizontally: 215+3=218 215 + 3 = 218 . If you get the same answer both ways, you're correct!

🌟 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

More Questions

Click on any question to see the complete solution with step-by-step explanations