Calculate the Sum: 72354 + 29563 Using Column 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

00:14 Place tens in tens, and add 1 to hundreds

00:19 Combine hundreds with hundreds, and place in hundreds

00:29 Combine thousands with thousands

00:33 Place thousands in thousands, and add 1 to tens of thousands

00:41 Combine tens of thousands with tens of thousands

00:45 Place in tens of thousands, and add 1 to hundreds of thousands

00:48 Place 0 in the missing digits

00:51 Combine hundreds of thousands with hundreds of thousands, and place

00:55 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we will add the two numbers using vertical addition:

Step 1: Write the numbers vertically, aligning them by their place values:
$\begin{array}{c@{}c@{}c@{}c@{}c@{}c} & 7 & 2 & 3 & 5 & 4 \\ + & & 2 & 9 & 5 & 6 & 3 \\ \hline \end{array}$
Step 2: Add the digits in each column starting from the rightmost (units) column:

Units place: $4 + 3 = 7$
Tens place: $5 + 6 = 11$ . Write 1 and carry over 1 to the hundreds place.
Hundreds place: $3 + 5 + 1 = 9$ (including the carry-over).
Thousands place: $2 + 9 = 11$ . Write 1 and carry over 1 to the ten-thousands place.
Ten-thousands place: $7 + 2 + 1 = 10$ (including the carry-over). Write 0 and carry over 1.

$\begin{array}{c@{}c@{}c@{}c@{}c@{}c} & & 1 & 0 & 1 & 9 & 1 & 7 \\ \hline \end{array}$

Therefore, the sum of 72354 and 29563 is $101917$ .