Calculate the Sum: Adding 653 and 399 Using Place Value

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

• Step 1: Line up the numbers according to their place values.

• Step 2: Add the numbers column by column from right to left.

• Step 3: Carry over any values greater than 9 to the next column.

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 $1052$.