Calculate the Sum: 19785 + 30406 Using Column Addition

Question

amp;19785+amp;amp;30406amp;776amp; \begin{aligned} &19785\\ +& \\ &30406 \\ &\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 in ones, and add 1 to tens
00:12 Combine tens with tens, remember to add 1 to the calculation
00:18 Place tens in tens
00:21 Combine hundreds with hundreds
00:26 Place hundreds in hundreds, and add 1 to thousands
00:31 Combine thousands with thousands, remember to add 1 to the calculation
00:34 Place thousands in thousands, and add 1 to tens of thousands
00:37 Combine tens of thousands with tens of thousands, add 1 to the calculation
00:43 Place in tens of thousands
00:47 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Align the two numbers, 19785 and 30406, for vertical addition.
  • Step 2: Add the numbers column by column, starting from the rightmost digit.
  • Step 3: Carry over any value greater than 9 to the next column on the left.

Now, let's work through each step:

Step 1: Align the numbers:
19785+30406\begin{array}{c} 19785 \\ +30406 \\ \hline \end{array}

Step 2: Add the columns starting from the right:

  • Rightmost column (ones): 5+6=115 + 6 = 11. Write down 11, carry over 11.
  • Tens column: 8+0=88 + 0 = 8, plus the carry over 11 gives 99.
  • Hundreds column: 7+4=117 + 4 = 11. Write down 11, carry over 11.
  • Thousands column: 9+0=99 + 0 = 9, plus the carry over 11 gives 1010. Write down 00, carry over 11.
  • Ten-thousands column: 1+3=41 + 3 = 4, plus the carry over 11 gives 55.
  • Assembling these results, we have the sum of 5019150191.

Therefore, the solution to the problem is 50191\boxed{50191}.

Answer

50191