Solve the Addition Problem: 977 + 23 in Vertical Format

977+  23776 \begin{aligned} &977\\ +& \\ &~~23 \\ &\underline{\phantom{776}} & \\ \end{aligned}

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:03 Let's solve this problem together!
00:06 First, think about combining two digits at a time.
00:10 Start by multiplying the ones digits first. Alright?
00:15 Place the result in the ones position, then carry over 1 to the tens.
00:20 Next, multiply the tens digits. Remember, add the carry over of 1.
00:25 Place your result in the tens position and carry over 1 to the hundreds.
00:30 Don’t forget to fill in any missing digits with zero.
00:34 Now, multiply the hundreds digits. Again, add 1 to the total.
00:39 Put this result in the hundreds place, and carry over 1 to the thousands.
00:44 Fill any remaining gaps with zero once more.
00:48 Finally, multiply the thousands digits and remember to add 1.
00:52 And there you have it! That's how we solve this problem.

Step-by-step written solution

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1

Understand the problem

977+  23776 \begin{aligned} &977\\ +& \\ &~~23 \\ &\underline{\phantom{776}} & \\ \end{aligned}

2

Step-by-step solution

To solve this vertical addition problem, we follow these steps:

  • Step 1: Align the numbers for vertical addition:
       977\ \ \ 977
    +23+ 23
  • Step 2: Start by adding the units digits.
    The units digit of 977977 is 77 and the units digit of 2323 is 33.
    7+3=107 + 3 = 10. Write 00 in the units place and carry over 11 to the tens place.
  • Step 3: Add the tens digits including the carryover.
    The tens digit of 977977 is 77 and the tens digit of 2323 is 22.
    Including the carryover 11:
    7+2+1=107 + 2 + 1 = 10. Write 00 in the tens place and carry over 11 to the hundreds place.
  • Step 4: Add the hundreds digits including the carryover.
    The hundreds digit of 977977 is 99. There are no hundreds in 2323, so only the carryover 11 is added:
    9+1=109 + 1 = 10. Write 00 in the hundreds place and carry over 11 to the thousands place.
  • Step 5: Since 2323 does not have a thousands place digit, just write the 11 from the previous carryover in the thousands place.

After completing all these steps, the final sum is 10001000.

3

Final Answer

1000

Practice Quiz

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\( \begin{aligned} &90 \\ +& \\ &~~9\\ &\underline{\phantom{776}} & \\ \end{aligned} \)

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