Calculate the Sum: 78156 + 19763 Using Vertical Addition

Video Solution

Solution Steps

00:00 Solve

00:03 Each time consider combining 2 digits, and then we'll place

00:06 Let's start by combining ones with ones

00:09 Place the ones

00:12 Combine tens with tens

00:15 Place tens in tens, and add 1 to hundreds

00:18 Combine hundreds with hundreds, and place in hundreds

00:26 Combine thousands with thousands

00:30 Place thousands in thousands, and add 1 to tens of thousands

00:36 Combine tens of thousands with tens of thousands, add 1 to calculation

00:40 Place in tens of thousands

00:44 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we will perform vertical addition of the two numbers:

We have: $\begin{array}{c@{}c@{}c@{}c@{}c@{}c} & & & & & \\ & 7 & 8 & 1 & 5 & 6 \\ + & 1 & 9 & 7 & 6 & 3 \\ \hline \end{array}$

Let's add the numbers column by column from right to left:

Units place: $6 + 3 = 9$ . Write 9.
Tens place: $5 + 6 = 11$ . Write 1 and carry over 1 to the hundreds place.
Hundreds place: $1 + 7 + 1 \, (\text{carried}) = 9$ . Write 9.
Thousands place: $8 + 9 = 17$ . Write 7 and carry over 1 to the ten-thousands place.
Ten-thousands place: $7 + 1 + 1 \, (\text{carried}) = 9$ . Write 9.

Thus, the sum is $\boxed{97919}$ .

The solution to the problem is $97919$ , which matches choice :

97919