Solve 917 + 5: Vertical Format Addition Practice

Multi-Digit Addition with Single-Digit Carryover

917+    5776 \begin{aligned} &917 \\ +& \\ &~~~~5 \\ &\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 Start by combining ones with ones
00:09 Place the ones in ones place, add 1 to tens
00:12 Place 0 in the missing digits
00:15 Combine the tens, remember to add 1, and place in tens
00:21 Place 0 in the missing digits
00:24 Combine the hundreds, and place in hundreds
00:27 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

917+    5776 \begin{aligned} &917 \\ +& \\ &~~~~5 \\ &\underline{\phantom{776}} & \\ \end{aligned}

2

Step-by-step solution

To solve the problem of adding 917 and 5, follow these step-by-step instructions:

  • Step 1: Line up the numbers vertically by their place values. The hundreds place, tens place, and units place should be aligned:
  • 917+   5776\begin{aligned} &917 \\ +& \\ &~~~5 \\ &\underline{\phantom{776}} \\ \end{aligned}

  • Step 2: Begin with the units place (rightmost column). Add 77 and 55. The sum is 1212.
  • Since 1212 is greater than 99, we write down 22 and carry over 11 to the tens place.

  • Step 3: Proceed to the tens place. Add the digits 11 (the carried over value) and 11 (from 917). This gives us 22.
  • We write 22 in the tens place.

  • Step 4: Finally, add the hundreds place. Add 99 (from 917). As there is no shipment here due to the tens column sum, write the 99 directly.
  • After completing all the places, the final result is:

    917+   5922\begin{aligned} &917 \\ +& \\ &~~~5 \\ &\underline{922} \\ \end{aligned}

Therefore, the answer to the problem is 922\boxed{922}.

3

Final Answer

922

Key Points to Remember

Essential concepts to master this topic
  • Alignment: Stack numbers vertically by place value positions
  • Technique: Add units first: 7 + 5 = 12, write 2, carry 1
  • Check: Verify by adding horizontally: 917 + 5 = 922 ✓

Common Mistakes

Avoid these frequent errors
  • Forgetting to carry over when sum exceeds 9
    Don't write 12 in the units place when 7 + 5 = 12 = wrong alignment and incorrect answer! This creates numbers with impossible place values. Always write the units 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

Why do we start adding from the right side?

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We start from the units place (rightmost) because that's where carrying begins! If you start from the left, you won't know if you need to add any carried digits.

What does 'carry over' actually mean?

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When two digits add up to 10 or more, you write the units digit in that column and carry the tens digit to the next column left. It's like exchanging 10 ones for 1 ten!

Do I always need to carry when adding?

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No! You only carry when the sum in any column is 10 or greater. If 7 + 2 = 9, there's no carrying needed since 9 < 10.

What if there's no digit in the tens or hundreds place of the smaller number?

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Think of it as adding zero! In 917 + 5, the tens place is really 1 + 0 (plus any carry), and hundreds is 9 + 0.

How can I check if my vertical addition is correct?

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Try adding horizontally using mental math: 917 + 5. You can also add the numbers in a different order to double-check your result!

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