Solve Addition: 66543 + 52456 Using Vertical Method

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

00:12 Combine tens with tens, and place in tens

00:16 Combine hundreds with hundreds

00:19 Place hundreds in hundreds, and add 1 to thousands

00:23 Combine thousands with thousands, remember to add 1 to the calculation

00:29 Place in thousands

00:33 Combine tens of thousands with tens of thousands

00:37 Place in tens of thousands, and add 1 to hundreds of thousands

00:40 Place 0 in the missing digits

00:43 Combine hundreds of thousands with hundreds of thousands, and place

00:48 And this is the solution to the question

Step-by-Step Solution

Let's solve the problem step-by-step:

Step 1: Align the numbers for vertical addition as follows:

$\begin{array}{c@{}c@{}c@{}c@{}c@{}c} & 6 & 6 & 5 & 4 & 3 \\ + & 5 & 2 & 4 & 5 & 6 \\ \hline \end{array}$

Step 2: Perform the addition from the rightmost digit (units place):

Units place: $3 + 6 = 9$
Tens place: $4 + 5 = 9$
Hundreds place: $5 + 4 = 9$
Thousands place: $6 + 2 = 8$
Ten-thousands place: $6 + 5 = 11$
Write 1 in the ten-thousands place and carry over 1 to the next column.
Since there are no more columns left to add the carry over, the final digit in the ten-thousands place is 11.

The final result is:

$\begin{array}{c@{}c@{}c@{}c@{}c@{}c} & 1 & 1 & 8 & 9 & 9 & 9 \\ \end{array}$

Therefore, the sum of 66543 and 52456 is $118999$ .