Solve the Addition Problem: 276 + 16 in Vertical Format

Vertical Addition with Regrouping

276+  16776 \begin{aligned} &276 \\ +& \\ &~~16 \\ &\underline{\phantom{776}} & \\ \end{aligned}

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:05 Let's solve this problem together.
00:08 Each time, we'll add two digits and put the result in place.
00:13 First, add the ones place to the ones place.
00:16 Write the ones digit, and carry over one to the tens.
00:21 Next, add the tens place to the tens place, and remember the one we carried.
00:26 Write the result in the tens place.
00:29 Fill any gaps with zero if needed.
00:32 Finally, add hundreds place to hundreds place, and write it down.
00:37 And that's how we find the answer!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

276+  16776 \begin{aligned} &276 \\ +& \\ &~~16 \\ &\underline{\phantom{776}} & \\ \end{aligned}

2

Step-by-step solution

To solve this vertical addition problem, follow these steps:

  • Step 1: Align the numbers according to place value: hundreds, tens, and ones.
    The numbers are:
    276
    + 16

  • Step 2: Start adding from the rightmost column (the ones place):
    - Add 6 (from 276) and 6 (from 16) = 12.
    - Write down 2 in the ones place and carry over 1 to the tens place.

  • Step 3: Move to the tens column:
    - Add 7 (from 276), 1 (carried), and 1 (from 16) = 9.
    - Write down 9 in the tens place.

  • Step 4: Finally, move to the hundreds column:
    - Since there's no carried number here, add 2 (from 276) as it is.
    - Write down 2 in the hundreds place.

After performing these operations, the final sum is written as:

292

Therefore, the correct answer to the problem is 292 292 .

3

Final Answer

292

Key Points to Remember

Essential concepts to master this topic
  • Alignment: Place digits in correct columns by place value
  • Technique: Start from rightmost column: 6 + 6 = 12, write 2 carry 1
  • Check: Add horizontally: 276 + 16 = 292 matches vertical result ✓

Common Mistakes

Avoid these frequent errors
  • Forgetting to carry over when sum exceeds 9
    Don't write down 12 in ones place = wrong place values! When 6 + 6 = 12, you must write 2 and carry 1 to tens column. Always carry the tens digit when any column sum is 10 or greater.

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

Why do I need to line up the numbers vertically?

+

Place value alignment is crucial! The ones digits must be in the same column, tens in the same column, and so on. This ensures you're adding the correct place values together.

What does 'carry over' mean exactly?

+

When a column adds up to 10 or more, you write the ones digit in that column and carry the tens digit to the next column left. Like 6 + 6 = 12, so write 2 and carry the 1.

Do I always start from the right side?

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Yes! Always start from the rightmost column (ones place) and work left. This ensures any carrying is done correctly from smaller to larger place values.

What if there's nothing to add in a column?

+

If a column has only one digit (like the hundreds place in this problem), simply bring it down to your answer. Don't forget to add any carried numbers first!

How can I check if my answer is correct?

+

Try adding the numbers horizontally using mental math or a calculator: 276+16=292 276 + 16 = 292 . It should match your vertical addition result!

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