Solve Four-Digit Addition: 5421 + 1657 Using Column Method

Video Solution

Solution Steps

00:00 Solve

00:03 Each time calculate adding 2 digits, and then substitute

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

00:09 Substitute the ones

00:12 Add tens with tens, substitute in tens

00:15 Add hundreds with hundreds

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

00:22 Add thousands with thousands, remember to add 1

00:25 Substitute in thousands

00:28 And this is the solution to the question

Step-by-Step Solution

To solve the problem of adding 5421 and 1657 using vertical addition, we will proceed through the following steps:

Step 1: Align the numbers vertically according to their place values:

$\begin{aligned} &5421 \\ + &1657 \\ \end{aligned}$

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

Units place: $1 + 7 = 8$ . Write 8 in the units place.
Tens place: $2 + 5 = 7$ . Write 7 in the tens place.
Hundreds place: $4 + 6 = 10$ . Write 0 in the hundreds place and carry over 1 to the thousands place.
Thousands place: $5 + 1 = 6$ , plus the carried over 1 gives $6 + 1 = 7$ . Write 7 in the thousands place.

Step 3: Write down the final result underneath the drawn line:

$\begin{aligned} &\underline{7078} \end{aligned}$

Therefore, the sum of 5421 and 1657 is $\textbf{7078}$ .