Calculate the Sum: Adding 653 and 399 Using Place Value

Video Solution

Solution Steps

00:00 Solve

00:03 Each time consider connecting 2 digits, and then we'll substitute

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

00:09 We'll place the units, add 1 to the tens

00:13 We'll add tens with tens, remember to add 1 to the calculation

00:16 We'll place tens in tens, add 1 to hundreds

00:21 We'll add hundreds with hundreds, remember to add 1

00:27 We'll place hundreds in hundreds, and add 1 to thousands

00:30 We'll place 0 in the missing digits

00:33 We'll add thousands with thousands, remember to add 1

00:36 We'll place in thousands

00:39 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we'll follow these steps:

Now, let's work through each step:

Step 1: Align the numbers vertically by place value:

$\begin{array}{c} \phantom{+}~~~~~653 \\ + \phantom{+}399 \\ \end{array}$

Step 2: Add the numbers in the ones column (rightmost column):

$3 + 9 = 12$

The result is 12. Place the 2 in the ones column and carry over 1 to the tens column.

Step 3: Add the numbers in the tens column, including the carry:

$5 + 9 + 1 = 15$

The result is 15. Place the 5 in the tens column and carry over 1 to the hundreds column.

Step 4: Add the numbers in the hundreds column, including the carry:

$6 + 3 + 1 = 10$

Place the 0 in the hundreds column and the 1 also in the next higher column (thousands place).

Therefore, the sum of $653$ and $399$ is $1052$ .