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

00:08 Let's solve the problem step by step.
00:11 Start by combining two digits at a time.
00:14 First, combine the ones with the ones.
00:18 Place the result in the ones column. Add one to the tens.
00:23 Next, combine the tens with the tens.
00:27 Add one to your calculation. Place the tens in the tens column.
00:31 Now, combine the hundreds with the hundreds.
00:35 Place the result in the hundreds column. Add one to the thousands.
00:39 Combine the thousands with the thousands.
00:42 Remember to add one to your calculation, then place it in the thousands.
00:47 Finally, combine and place the tens of thousands correctly.
00:51 Great job! That's how we find the solution.

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