Solve Vertical Addition: 743 + 259 Step-by-Step

Video Solution

Solution Steps

00:00 Solve

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

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

00:09 Place the ones, add 1 to the tens

00:16 Combine tens with tens, remember to add 1 to the calculation

00:20 Place tens in tens, add 1 to hundreds

00:25 Combine hundreds with hundreds, remember to add 1

00:32 Place hundreds in hundreds, and add 1 to thousands

00:35 Place 0 in the missing digits

00:40 Combine thousands with thousands, remember to add 1

00:44 Place in thousands

00:47 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we'll engage in vertical addition for the given numbers $743$ and $259$ :

Step 1: Align the numbers by their place value (units, tens, and hundreds).
Step 2: Add each column starting from the right, taking care to carry over if needed.

Let's perform the addition:
Starting from the rightmost column (units):

Add $3$ (from $743$ ) and $9$ (from $259$ ): $3 + 9 = 12$ .
Place $2$ in the units place and carry over $1$ to the tens column.
Move to the tens column:
Add $4$ (from $743$ ), $5$ (from $259$ ), and the carryover $1$ : $4 + 5 + 1 = 10$ .
Place $0$ in the tens place and carry over $1$ to the hundreds column.
Finally, add the hundreds column:
Add $7$ (from $743$ ), $2$ (from $259$ ), and the carryover $1$ : $7 + 2 + 1 = 10$ .
Place $0$ in the hundreds place and $1$ in the thousands place.

The final result of adding $743 + 259$ is $1002$ .

Comparing this with the answer choices, the correct choice is (1): $1002$ .

Therefore, the solution to the problem is $1002$ .