Calculate the Sum: 72354 + 29563 Using Column Addition

$\begin{aligned} &72354\\ +& \\ &29563 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

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.
• Step 3: Write down the complete sum:

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

• Adding all values gives us the final sum.

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