Solve Five-Digit Addition: 35612 + 44675 Using Vertical Format

Question

amp;35612+amp;amp;44675amp;776amp; \begin{aligned} &35612\\ +& \\ &44675 \\ &\underline{\phantom{776}} & \\ \end{aligned}

Video Solution

Solution Steps

00:00 Solve
00:03 Each time consider combining 2 digits, and then place
00:06 Let's start by combining ones with ones
00:09 Place the ones
00:14 Combine tens with tens, and place in tens
00:17 Combine hundreds with hundreds
00:20 Place hundreds in hundreds, add 1 to thousands
00:25 Combine thousands with thousands, remember to add 1 to the calculation
00:30 Place thousands in thousands, and add 1 to tens of thousands
00:37 Combine tens of thousands with tens of thousands, and place
00:43 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we'll use vertical addition, carefully ensuring each digit is correctly placed and carried over if necessary:

  • Write the numbers on top of each other as such:
         35612
    +
         44675

Begin with the rightmost column (ones place):

  • Column 1 (Units): 2+5=72 + 5 = 7. Place 7 below the line.
  • Column 2 (Tens): 1+7=81 + 7 = 8. Place 8 below the line.
  • Column 3 (Hundreds): 6+6=126 + 6 = 12. The sum is greater than 9, so place 2 below the line and carry over 1 to the next column.
  • Column 4 (Thousands): 5+4=95 + 4 = 9, then add the carryover 1 to get 10. Place 0 below the line and carry over 1.
  • Column 5 (Ten-Thousands): 3+4=73 + 4 = 7, then add the carryover 1 to get 8. Place 8 below the line.

The complete addition step-by-step is as follows:

     35612
+
     44675
    _____
     80287

Therefore, the sum of 3561235612 and 4467544675 is 8028780287.

Comparing with the choices given, our result matches choice 2.

Thus, the solution to the problem is 8028780287.

Answer

80287