Calculate the Sum: 857 + 23 in Vertical Format

Vertical Addition with Carrying Procedure

857+  23776 \begin{aligned} &857 \\ +& \\ &~~23 \\ &\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 we calculate the sum of 2 digits, and then we place
00:06 Let's start by adding ones with ones
00:09 Place the ones, and add 1 to the tens
00:14 Add tens with tens, remember to add 1 to the calculation
00:19 Place in the tens
00:22 Place 0 in the missing digits
00:25 Add hundreds with hundreds, place in hundreds
00:28 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

857+  23776 \begin{aligned} &857 \\ +& \\ &~~23 \\ &\underline{\phantom{776}} & \\ \end{aligned}

2

Step-by-step solution

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

  • Step 1: Write the numbers 857 and 23 in a column aligned by place values.
  • Step 2: Add starting from the rightmost column (units), moving left:
    • Units: 7 + 3 = 10. Write 0 and carry over 1 to the tens place.
    • Tens: 5 + 2 + 1 (carried over) = 8. Write 8 with no carry-over.
    • Hundreds: 8 + 0 = 8. Write 8.
  • Step 3: The final sum is 880.

Therefore, the sum of 857 and 23 is 880 880 .

The correct choice is Choice 4: 880 880 .

3

Final Answer

880

Key Points to Remember

Essential concepts to master this topic
  • Place Value Alignment: Line up numbers by ones, tens, hundreds columns
  • Technique: Start right column: 7 + 3 = 10, write 0, carry 1
  • Check: Verify each column sum and final answer: 880 ✓

Common Mistakes

Avoid these frequent errors
  • Forgetting to carry over when sum exceeds 9
    Don't write 10 in the units column when 7 + 3 = 10 = wrong answer 87010! This ignores place value rules and creates impossible digits. Always carry the tens digit to the next column and write only the units digit.

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 carry over the 1 when I get 10?

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Because 10 means 1 ten and 0 ones! The digit 10 doesn't exist in our number system. You must carry the 1 to the tens place and write 0 in the ones place.

What if I forget to add the carried number?

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You'll get the wrong answer! In this problem, forgetting the carried 1 would give you 870 instead of 880. Always remember to add any carried digits to the next column.

How do I know where to place each number?

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Align by place value! Put ones under ones, tens under tens, hundreds under hundreds. Think of it like stacking blocks - each column must line up perfectly.

Can I add from left to right instead?

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It's much harder! Adding right to left lets you handle carrying naturally. If you go left to right, you might need to change previous digits when you carry, making it confusing.

What if the numbers have different amounts of digits?

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No problem! Just imagine invisible zeros in front of shorter numbers. So 23 becomes 023, making it easier to line up with 857.

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